[{"doi":"10.1016/j.nonrwa.2025.104580","user_id":"11829","volume":91,"page":"104580","language":[{"iso":"eng"}],"_id":"63435","publisher":"Elsevier BV","date_updated":"2026-01-05T07:40:49Z","intvolume":" 91","status":"public","title":"Describing smooth small-data solutions to a quasilinear hyperbolic-parabolic system by W 1,P energy analysis","year":"2026","publication_identifier":{"issn":["1468-1218"]},"author":[{"id":"11829","full_name":"Claes, Leander","orcid":"0000-0002-4393-268X","first_name":"Leander","last_name":"Claes"},{"id":"31496","full_name":"Winkler, Michael","first_name":"Michael","last_name":"Winkler"}],"type":"journal_article","department":[{"_id":"49"},{"_id":"90"}],"date_created":"2026-01-05T07:32:00Z","project":[{"_id":"245","name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)"}],"publication":"Nonlinear Analysis: Real World Applications","citation":{"ieee":"L. Claes and M. Winkler, “Describing smooth small-data solutions to a quasilinear hyperbolic-parabolic system by W 1,P energy analysis,” Nonlinear Analysis: Real World Applications, vol. 91, p. 104580, 2026, doi: 10.1016/j.nonrwa.2025.104580.","apa":"Claes, L., & Winkler, M. (2026). Describing smooth small-data solutions to a quasilinear hyperbolic-parabolic system by W 1,P energy analysis. Nonlinear Analysis: Real World Applications, 91, 104580. https://doi.org/10.1016/j.nonrwa.2025.104580","short":"L. Claes, M. Winkler, Nonlinear Analysis: Real World Applications 91 (2026) 104580.","chicago":"Claes, Leander, and Michael Winkler. “Describing Smooth Small-Data Solutions to a Quasilinear Hyperbolic-Parabolic System by W 1,P Energy Analysis.” Nonlinear Analysis: Real World Applications 91 (2026): 104580. https://doi.org/10.1016/j.nonrwa.2025.104580.","mla":"Claes, Leander, and Michael Winkler. “Describing Smooth Small-Data Solutions to a Quasilinear Hyperbolic-Parabolic System by W 1,P Energy Analysis.” Nonlinear Analysis: Real World Applications, vol. 91, Elsevier BV, 2026, p. 104580, doi:10.1016/j.nonrwa.2025.104580.","bibtex":"@article{Claes_Winkler_2026, title={Describing smooth small-data solutions to a quasilinear hyperbolic-parabolic system by W 1,P energy analysis}, volume={91}, DOI={10.1016/j.nonrwa.2025.104580}, journal={Nonlinear Analysis: Real World Applications}, publisher={Elsevier BV}, author={Claes, Leander and Winkler, Michael}, year={2026}, pages={104580} }","ama":"Claes L, Winkler M. Describing smooth small-data solutions to a quasilinear hyperbolic-parabolic system by W 1,P energy analysis. Nonlinear Analysis: Real World Applications. 2026;91:104580. doi:10.1016/j.nonrwa.2025.104580"}},{"user_id":"44026","_id":"65625","language":[{"iso":"eng"}],"date_updated":"2026-05-13T14:25:54Z","title":"Experimental and Numerical Investigation of Jump Phenomena in the Frequency Response of Piezoelectric Systems","year":"2026","status":"public","author":[{"first_name":"Olga","last_name":"Friesen","full_name":"Friesen, Olga","id":"44026"},{"id":"73952","first_name":"Jonas","last_name":"Hölscher","full_name":"Hölscher, Jonas"},{"last_name":"Siegmund","first_name":"Michael B. K.","full_name":"Siegmund, Michael B. K."},{"id":"11829","full_name":"Claes, Leander","last_name":"Claes","first_name":"Leander","orcid":"0000-0002-4393-268X"},{"first_name":"Bernd","last_name":"Henning","full_name":"Henning, Bernd","id":"213"}],"type":"conference_abstract","department":[{"_id":"49"}],"date_created":"2026-05-13T14:24:34Z","place":"96th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)","project":[{"name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)","_id":"245"}],"citation":{"ieee":"O. Friesen, J. Hölscher, M. B. K. Siegmund, L. Claes, and B. Henning, “Experimental and Numerical Investigation of Jump Phenomena in the Frequency Response of Piezoelectric Systems,” 2026.","apa":"Friesen, O., Hölscher, J., Siegmund, M. B. K., Claes, L., & Henning, B. (2026). Experimental and Numerical Investigation of Jump Phenomena in the Frequency Response of Piezoelectric Systems.","chicago":"Friesen, Olga, Jonas Hölscher, Michael B. K. Siegmund, Leander Claes, and Bernd Henning. “Experimental and Numerical Investigation of Jump Phenomena in the Frequency Response of Piezoelectric Systems.” 96th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), 2026.","short":"O. Friesen, J. Hölscher, M.B.K. Siegmund, L. Claes, B. Henning, in: 96th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), 2026.","mla":"Friesen, Olga, et al. Experimental and Numerical Investigation of Jump Phenomena in the Frequency Response of Piezoelectric Systems. 2026.","bibtex":"@inproceedings{Friesen_Hölscher_Siegmund_Claes_Henning_2026, place={96th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)}, title={Experimental and Numerical Investigation of Jump Phenomena in the Frequency Response of Piezoelectric Systems}, author={Friesen, Olga and Hölscher, Jonas and Siegmund, Michael B. K. and Claes, Leander and Henning, Bernd}, year={2026} }","ama":"Friesen O, Hölscher J, Siegmund MBK, Claes L, Henning B. Experimental and Numerical Investigation of Jump Phenomena in the Frequency Response of Piezoelectric Systems. In: ; 2026."}},{"publication":"tm - Technisches Messen","abstract":[{"text":"Simulation-based design of high-power ultrasonic systems depends on the accurate modelling of the electromechanical behaviour of piezoceramic materials. In practical transducer applications, the relevant operating points are influenced by mechanical preload and heating, both of which give rise to changes in the elastic, dielectric, and piezoelectric material properties. Material parameters identified under idealised, unloaded conditions are therefore insufficient to represent piezoceramic material behaviour under realistic operating conditions. To overcome this limitation, experimental setups are developed that enable the measurement of electrical impedance spectra under controlled thermal and mechanical conditions. The acquired impedance data are used in an inverse identification procedure, in which the behaviour of a finite element forward model is iteratively fitted to the measurements using a block coordinate descent optimisation strategy guided by a sensitivity analysis. This yields effective linear material parameters as a function of temperature and mechanical stress at varying operating points. The identified temperature-dependent parameters, for instance, can be employed in a coupled thermo-electromechanical simulation framework to predict the temperature-dependent material behaviour during operation. The linear identification based on varying operation points provides an initial approximation of the nonlinear material response, establishing a basis for the development of corresponding nonlinear material models.","lang":"eng"}],"date_created":"2026-06-08T05:44:09Z","department":[{"_id":"49"}],"keyword":["tet_topic_piezo"],"type":"journal_article","publication_identifier":{"issn":["0171-8096","2196-7113"]},"author":[{"full_name":"Friesen, Olga","last_name":"Friesen","orcid":"0009-0007-5598-9484","first_name":"Olga","id":"44026"},{"full_name":"Claes, Leander","orcid":"0000-0002-4393-268X","first_name":"Leander","last_name":"Claes","id":"11829"},{"id":"73952","last_name":"Hölscher","first_name":"Jonas","full_name":"Hölscher, Jonas"},{"full_name":"Henning, Bernd","last_name":"Henning","first_name":"Bernd","id":"213"},{"id":"38259","full_name":"Scheidemann, Claus","last_name":"Scheidemann","first_name":"Claus"},{"full_name":"Hemsel, Tobias","last_name":"Hemsel","first_name":"Tobias","id":"210"},{"full_name":"Kuess, Raphael","last_name":"Kuess","first_name":"Raphael"},{"full_name":"Walther, Andrea","last_name":"Walther","first_name":"Andrea"},{"id":"67587","first_name":"Carsten","last_name":"Spieker","full_name":"Spieker, Carsten"},{"id":"158","orcid":"0000-0001-7059-9862","first_name":"Jens","last_name":"Förstner","full_name":"Förstner, Jens"}],"title":"Measurement of multiphysical material parameters of piezoceramic components for high-power ultrasonic applications","year":"2026","publication_status":"published","date_updated":"2026-06-08T17:54:45Z","language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1"}],"doi":"10.1515/teme-2026-0042","citation":{"ama":"Friesen O, Claes L, Hölscher J, et al. Measurement of multiphysical material parameters of piezoceramic components for high-power ultrasonic applications. tm - Technisches Messen. Published online 2026. doi:10.1515/teme-2026-0042","bibtex":"@article{Friesen_Claes_Hölscher_Henning_Scheidemann_Hemsel_Kuess_Walther_Spieker_Förstner_2026, title={Measurement of multiphysical material parameters of piezoceramic components for high-power ultrasonic applications}, DOI={10.1515/teme-2026-0042}, journal={tm - Technisches Messen}, publisher={Walter de Gruyter GmbH}, author={Friesen, Olga and Claes, Leander and Hölscher, Jonas and Henning, Bernd and Scheidemann, Claus and Hemsel, Tobias and Kuess, Raphael and Walther, Andrea and Spieker, Carsten and Förstner, Jens}, year={2026} }","mla":"Friesen, Olga, et al. “Measurement of Multiphysical Material Parameters of Piezoceramic Components for High-Power Ultrasonic Applications.” Tm - Technisches Messen, Walter de Gruyter GmbH, 2026, doi:10.1515/teme-2026-0042.","short":"O. Friesen, L. Claes, J. Hölscher, B. Henning, C. Scheidemann, T. Hemsel, R. Kuess, A. Walther, C. Spieker, J. Förstner, Tm - Technisches Messen (2026).","chicago":"Friesen, Olga, Leander Claes, Jonas Hölscher, Bernd Henning, Claus Scheidemann, Tobias Hemsel, Raphael Kuess, Andrea Walther, Carsten Spieker, and Jens Förstner. “Measurement of Multiphysical Material Parameters of Piezoceramic Components for High-Power Ultrasonic Applications.” Tm - Technisches Messen, 2026. https://doi.org/10.1515/teme-2026-0042.","apa":"Friesen, O., Claes, L., Hölscher, J., Henning, B., Scheidemann, C., Hemsel, T., Kuess, R., Walther, A., Spieker, C., & Förstner, J. (2026). Measurement of multiphysical material parameters of piezoceramic components for high-power ultrasonic applications. Tm - Technisches Messen. https://doi.org/10.1515/teme-2026-0042","ieee":"O. Friesen et al., “Measurement of multiphysical material parameters of piezoceramic components for high-power ultrasonic applications,” tm - Technisches Messen, 2026, doi: 10.1515/teme-2026-0042."},"project":[{"name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)","_id":"245"}],"oa":"1","status":"public","publisher":"Walter de Gruyter GmbH","_id":"65785","user_id":"158"},{"date_created":"2026-05-08T12:37:35Z","department":[{"_id":"61"}],"type":"conference","keyword":["tet_topic_piezo"],"citation":{"short":"C. Spieker, R. Kuess, A. Walther, J. Förstner, in: Deutsche Gesellschaft für Akustik e.V. (Ed.), Fortschritte Der Akustik - DAGA 2026, 2026, pp. 1066–1069.","chicago":"Spieker, Carsten, Raphael Kuess, Andrea Walther, and Jens Förstner. “Modellierung Und Simulation Des Temperaturabhängigen Materialverhaltens von Piezokeramiken Mit FEniCS.” In Fortschritte Der Akustik - DAGA 2026, edited by Deutsche Gesellschaft für Akustik e.V., 1066–1069, 2026. https://doi.org/10.71568/DAGA2026.549.","ieee":"C. Spieker, R. Kuess, A. Walther, and J. Förstner, “Modellierung und Simulation des temperaturabhängigen Materialverhaltens von Piezokeramiken mit FEniCS,” in Fortschritte der Akustik - DAGA 2026, 2026, pp. 1066–1069, doi: 10.71568/DAGA2026.549.","apa":"Spieker, C., Kuess, R., Walther, A., & Förstner, J. (2026). Modellierung und Simulation des temperaturabhängigen Materialverhaltens von Piezokeramiken mit FEniCS. In Deutsche Gesellschaft für Akustik e.V. (Ed.), Fortschritte der Akustik - DAGA 2026 (pp. 1066–1069). https://doi.org/10.71568/DAGA2026.549","bibtex":"@inproceedings{Spieker_Kuess_Walther_Förstner_2026, title={Modellierung und Simulation des temperaturabhängigen Materialverhaltens von Piezokeramiken mit FEniCS}, DOI={10.71568/DAGA2026.549}, booktitle={Fortschritte der Akustik - DAGA 2026}, author={Spieker, Carsten and Kuess, Raphael and Walther, Andrea and Förstner, Jens}, editor={Deutsche Gesellschaft für Akustik e.V.}, year={2026}, pages={1066–1069} }","ama":"Spieker C, Kuess R, Walther A, Förstner J. Modellierung und Simulation des temperaturabhängigen Materialverhaltens von Piezokeramiken mit FEniCS. In: Deutsche Gesellschaft für Akustik e.V., ed. Fortschritte Der Akustik - DAGA 2026. ; 2026:1066–1069. doi:10.71568/DAGA2026.549","mla":"Spieker, Carsten, et al. “Modellierung Und Simulation Des Temperaturabhängigen Materialverhaltens von Piezokeramiken Mit FEniCS.” Fortschritte Der Akustik - DAGA 2026, edited by Deutsche Gesellschaft für Akustik e.V., 2026, pp. 1066–1069, doi:10.71568/DAGA2026.549."},"publication":"Fortschritte der Akustik - DAGA 2026","project":[{"_id":"245","name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)"}],"language":[{"iso":"eng"}],"_id":"65588","page":"1066–1069","user_id":"158","doi":"10.71568/DAGA2026.549","author":[{"id":"67587","last_name":"Spieker","first_name":"Carsten","full_name":"Spieker, Carsten"},{"full_name":"Kuess, Raphael","first_name":"Raphael","last_name":"Kuess"},{"full_name":"Walther, Andrea","first_name":"Andrea","last_name":"Walther"},{"id":"158","last_name":"Förstner","orcid":"0000-0001-7059-9862","first_name":"Jens","full_name":"Förstner, Jens"}],"corporate_editor":["Deutsche Gesellschaft für Akustik e.V."],"title":"Modellierung und Simulation des temperaturabhängigen Materialverhaltens von Piezokeramiken mit FEniCS","year":"2026","status":"public","date_updated":"2026-06-08T17:55:18Z"},{"_id":"66060","publisher":"Springer Science and Business Media LLC","volume":33,"user_id":"11829","status":"public","citation":{"chicago":"Claes, Leander, and Michael Winkler. “Local Strong Solutions in a Quasilinear Moore-Gibson-Thompson Type Model for Thermoviscoelastic Evolution in a Standard Linear Solid.” Nonlinear Differential Equations and Applications NoDEA 33, no. 4 (2026). https://doi.org/10.1007/s00030-026-01239-7.","short":"L. Claes, M. Winkler, Nonlinear Differential Equations and Applications NoDEA 33 (2026).","ieee":"L. Claes and M. Winkler, “Local strong solutions in a quasilinear Moore-Gibson-Thompson type model for thermoviscoelastic evolution in a standard linear solid,” Nonlinear Differential Equations and Applications NoDEA, vol. 33, no. 4, 2026, doi: 10.1007/s00030-026-01239-7.","apa":"Claes, L., & Winkler, M. (2026). Local strong solutions in a quasilinear Moore-Gibson-Thompson type model for thermoviscoelastic evolution in a standard linear solid. Nonlinear Differential Equations and Applications NoDEA, 33(4). https://doi.org/10.1007/s00030-026-01239-7","bibtex":"@article{Claes_Winkler_2026, title={Local strong solutions in a quasilinear Moore-Gibson-Thompson type model for thermoviscoelastic evolution in a standard linear solid}, volume={33}, DOI={10.1007/s00030-026-01239-7}, number={4}, journal={Nonlinear Differential Equations and Applications NoDEA}, publisher={Springer Science and Business Media LLC}, author={Claes, Leander and Winkler, Michael}, year={2026} }","ama":"Claes L, Winkler M. Local strong solutions in a quasilinear Moore-Gibson-Thompson type model for thermoviscoelastic evolution in a standard linear solid. Nonlinear Differential Equations and Applications NoDEA. 2026;33(4). doi:10.1007/s00030-026-01239-7","mla":"Claes, Leander, and Michael Winkler. “Local Strong Solutions in a Quasilinear Moore-Gibson-Thompson Type Model for Thermoviscoelastic Evolution in a Standard Linear Solid.” Nonlinear Differential Equations and Applications NoDEA, vol. 33, no. 4, Springer Science and Business Media LLC, 2026, doi:10.1007/s00030-026-01239-7."},"project":[{"name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)","_id":"245"}],"language":[{"iso":"eng"}],"doi":"10.1007/s00030-026-01239-7","author":[{"id":"11829","full_name":"Claes, Leander","orcid":"0000-0002-4393-268X","last_name":"Claes","first_name":"Leander"},{"id":"31496","full_name":"Winkler, Michael","first_name":"Michael","last_name":"Winkler"}],"publication_identifier":{"issn":["1420-9004"]},"year":"2026","title":"Local strong solutions in a quasilinear Moore-Gibson-Thompson type model for thermoviscoelastic evolution in a standard linear solid","intvolume":" 33","date_updated":"2026-06-26T09:23:14Z","publication_status":"published","date_created":"2026-06-26T09:21:21Z","department":[{"_id":"49"},{"_id":"90"}],"type":"journal_article","publication":"Nonlinear Differential Equations and Applications NoDEA","issue":"4"},{"language":[{"iso":"eng"}],"_id":"66604","user_id":"44026","conference":{"end_date":"2026-07-24","location":"München","start_date":"2026-07-19","name":"WCCM-ECCOMAS 2026"},"author":[{"first_name":"Olga","last_name":"Friesen","orcid":"0009-0007-5598-9484","full_name":"Friesen, Olga","id":"44026"},{"id":"73952","full_name":"Hölscher, Jonas","last_name":"Hölscher","first_name":"Jonas"},{"full_name":"Spieker, Carsten","first_name":"Carsten","last_name":"Spieker","id":"67587"},{"id":"158","first_name":"Jens","last_name":"Förstner","orcid":"0000-0001-7059-9862","full_name":"Förstner, Jens"},{"full_name":"Claes, Leander","orcid":"0000-0002-4393-268X","first_name":"Leander","last_name":"Claes","id":"11829"}],"title":"Quantitative Modelling of Dynamic Nonlinearity in Piezoelectric Components","year":"2026","status":"public","date_updated":"2026-07-27T15:08:16Z","date_created":"2026-07-27T15:07:31Z","department":[{"_id":"49"}],"type":"conference_abstract","citation":{"mla":"Friesen, Olga, et al. Quantitative Modelling of Dynamic Nonlinearity in Piezoelectric Components. 2026.","bibtex":"@inproceedings{Friesen_Hölscher_Spieker_Förstner_Claes_2026, title={Quantitative Modelling of Dynamic Nonlinearity in Piezoelectric Components}, author={Friesen, Olga and Hölscher, Jonas and Spieker, Carsten and Förstner, Jens and Claes, Leander}, year={2026} }","ama":"Friesen O, Hölscher J, Spieker C, Förstner J, Claes L. Quantitative Modelling of Dynamic Nonlinearity in Piezoelectric Components. In: ; 2026.","ieee":"O. Friesen, J. Hölscher, C. Spieker, J. Förstner, and L. Claes, “Quantitative Modelling of Dynamic Nonlinearity in Piezoelectric Components,” presented at the WCCM-ECCOMAS 2026, München, 2026.","apa":"Friesen, O., Hölscher, J., Spieker, C., Förstner, J., & Claes, L. (2026). Quantitative Modelling of Dynamic Nonlinearity in Piezoelectric Components. WCCM-ECCOMAS 2026, München.","short":"O. Friesen, J. Hölscher, C. Spieker, J. Förstner, L. Claes, in: 2026.","chicago":"Friesen, Olga, Jonas Hölscher, Carsten Spieker, Jens Förstner, and Leander Claes. “Quantitative Modelling of Dynamic Nonlinearity in Piezoelectric Components,” 2026."},"project":[{"name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)","_id":"245"}]},{"_id":"62300","language":[{"iso":"eng"}],"publisher":"AMA Service GmbH","page":"142–145","doi":"10.5162/ultrasonic2025/a18-a6","user_id":"11829","author":[{"full_name":"Claes, Leander","first_name":"Leander","orcid":"0000-0002-4393-268X","last_name":"Claes","id":"11829"},{"full_name":"Hölscher, Jonas","first_name":"Jonas","last_name":"Hölscher","id":"73952"},{"first_name":"Olga","last_name":"Friesen","full_name":"Friesen, Olga","id":"44026"},{"full_name":"Scheidemann, Claus","last_name":"Scheidemann","first_name":"Claus","id":"38259"},{"id":"210","full_name":"Hemsel, Tobias","last_name":"Hemsel","first_name":"Tobias"},{"last_name":"Henning","first_name":"Bernd","full_name":"Henning, Bernd","id":"213"}],"status":"public","title":"Estimation of third order elastic constants of piezoceramics using DC biased impedance measurements","year":"2025","date_updated":"2026-01-13T13:00:31Z","place":"Paderborn","date_created":"2025-11-25T12:23:06Z","department":[{"_id":"49"}],"type":"conference","citation":{"ieee":"L. Claes, J. Hölscher, O. Friesen, C. Scheidemann, T. Hemsel, and B. Henning, “Estimation of third order elastic constants of piezoceramics using DC biased impedance measurements,” in 2025 International Congress on Ultrasonics, 2025, pp. 142–145, doi: 10.5162/ultrasonic2025/a18-a6.","apa":"Claes, L., Hölscher, J., Friesen, O., Scheidemann, C., Hemsel, T., & Henning, B. (2025). Estimation of third order elastic constants of piezoceramics using DC biased impedance measurements. 2025 International Congress on Ultrasonics, 142–145. https://doi.org/10.5162/ultrasonic2025/a18-a6","short":"L. Claes, J. Hölscher, O. Friesen, C. Scheidemann, T. Hemsel, B. Henning, in: 2025 International Congress on Ultrasonics, AMA Service GmbH, Paderborn, 2025, pp. 142–145.","chicago":"Claes, Leander, Jonas Hölscher, Olga Friesen, Claus Scheidemann, Tobias Hemsel, and Bernd Henning. “Estimation of Third Order Elastic Constants of Piezoceramics Using DC Biased Impedance Measurements.” In 2025 International Congress on Ultrasonics, 142–145. Paderborn: AMA Service GmbH, 2025. https://doi.org/10.5162/ultrasonic2025/a18-a6.","mla":"Claes, Leander, et al. “Estimation of Third Order Elastic Constants of Piezoceramics Using DC Biased Impedance Measurements.” 2025 International Congress on Ultrasonics, AMA Service GmbH, 2025, pp. 142–145, doi:10.5162/ultrasonic2025/a18-a6.","bibtex":"@inproceedings{Claes_Hölscher_Friesen_Scheidemann_Hemsel_Henning_2025, place={Paderborn}, title={Estimation of third order elastic constants of piezoceramics using DC biased impedance measurements}, DOI={10.5162/ultrasonic2025/a18-a6}, booktitle={2025 International Congress on Ultrasonics}, publisher={AMA Service GmbH}, author={Claes, Leander and Hölscher, Jonas and Friesen, Olga and Scheidemann, Claus and Hemsel, Tobias and Henning, Bernd}, year={2025}, pages={142–145} }","ama":"Claes L, Hölscher J, Friesen O, Scheidemann C, Hemsel T, Henning B. Estimation of third order elastic constants of piezoceramics using DC biased impedance measurements. In: 2025 International Congress on Ultrasonics. AMA Service GmbH; 2025:142–145. doi:10.5162/ultrasonic2025/a18-a6"},"publication":"2025 International Congress on Ultrasonics","project":[{"_id":"245","name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)"}]},{"user_id":"11829","volume":91,"publisher":"Springer Science and Business Media LLC","_id":"59258","status":"public","project":[{"name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)","_id":"245"}],"citation":{"mla":"Winkler, Michael. “Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters.” Applied Mathematics & Optimization, vol. 91, no. 2, 44, Springer Science and Business Media LLC, 2025, doi:10.1007/s00245-025-10243-9.","ama":"Winkler M. Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters. Applied Mathematics & Optimization. 2025;91(2). doi:10.1007/s00245-025-10243-9","bibtex":"@article{Winkler_2025, title={Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters}, volume={91}, DOI={10.1007/s00245-025-10243-9}, number={244}, journal={Applied Mathematics & Optimization}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2025} }","apa":"Winkler, M. (2025). Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters. Applied Mathematics & Optimization, 91(2), Article 44. https://doi.org/10.1007/s00245-025-10243-9","ieee":"M. Winkler, “Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters,” Applied Mathematics & Optimization, vol. 91, no. 2, Art. no. 44, 2025, doi: 10.1007/s00245-025-10243-9.","chicago":"Winkler, Michael. “Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters.” Applied Mathematics & Optimization 91, no. 2 (2025). https://doi.org/10.1007/s00245-025-10243-9.","short":"M. Winkler, Applied Mathematics & Optimization 91 (2025)."},"doi":"10.1007/s00245-025-10243-9","article_number":"44","language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2026-02-26T15:59:30Z","intvolume":" 91","title":"Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters","year":"2025","publication_identifier":{"issn":["0095-4616","1432-0606"]},"author":[{"id":"31496","last_name":"Winkler","first_name":"Michael","full_name":"Winkler, Michael"}],"type":"journal_article","department":[{"_id":"90"}],"date_created":"2025-04-02T11:23:25Z","publication":"Applied Mathematics & Optimization","issue":"2"},{"title":"Time dependent material characteristics of prestressed piezoelectric ceramics in langevin transducers","status":"public","year":"2025","conference":{"location":"Vilnius, Lithuania","name":"22nd International Workshop on Piezoelectric Materials and Applications in Actuators (IWPMA)","start_date":"2025-07-1","end_date":"2025-07-3"},"author":[{"id":"38259","first_name":"Claus","last_name":"Scheidemann","full_name":"Scheidemann, Claus"},{"first_name":"Tobias","last_name":"Hemsel","full_name":"Hemsel, Tobias","id":"210"},{"id":"21220","full_name":"Sextro, Walter","first_name":"Walter","last_name":"Sextro"}],"date_updated":"2026-03-02T10:59:53Z","has_accepted_license":"1","language":[{"iso":"eng"}],"_id":"61755","ddc":["620"],"user_id":"210","file_date_updated":"2026-03-02T10:59:53Z","citation":{"mla":"Scheidemann, Claus, et al. Time Dependent Material Characteristics of Prestressed Piezoelectric Ceramics in Langevin Transducers. 2025.","apa":"Scheidemann, C., Hemsel, T., & Sextro, W. (2025). Time dependent material characteristics of prestressed piezoelectric ceramics in langevin transducers. 22nd International Workshop on Piezoelectric Materials and Applications in Actuators (IWPMA), Vilnius, Lithuania.","ieee":"C. Scheidemann, T. Hemsel, and W. Sextro, “Time dependent material characteristics of prestressed piezoelectric ceramics in langevin transducers,” presented at the 22nd International Workshop on Piezoelectric Materials and Applications in Actuators (IWPMA), Vilnius, Lithuania, 2025.","chicago":"Scheidemann, Claus, Tobias Hemsel, and Walter Sextro. “Time Dependent Material Characteristics of Prestressed Piezoelectric Ceramics in Langevin Transducers,” 2025.","short":"C. Scheidemann, T. Hemsel, W. Sextro, in: 2025.","ama":"Scheidemann C, Hemsel T, Sextro W. Time dependent material characteristics of prestressed piezoelectric ceramics in langevin transducers. In: ; 2025.","bibtex":"@inproceedings{Scheidemann_Hemsel_Sextro_2025, title={Time dependent material characteristics of prestressed piezoelectric ceramics in langevin transducers}, author={Scheidemann, Claus and Hemsel, Tobias and Sextro, Walter}, year={2025} }"},"project":[{"_id":"245","name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)"}],"file":[{"creator":"hemsel","date_created":"2026-01-30T11:07:48Z","relation":"main_file","date_updated":"2026-03-02T10:59:53Z","file_name":"SHS25_IWPMA_2025.pdf","access_level":"open_access","file_size":644147,"file_id":"63817","content_type":"application/pdf"}],"date_created":"2025-10-08T14:22:32Z","type":"conference","oa":"1","department":[{"_id":"151"}]},{"conference":{"location":"Paderborn, Germany","start_date":"2025-09-21","name":"2025 International Congress on Ultrasonics (ICU)","end_date":"2025-09-25"},"author":[{"id":"38259","full_name":"Scheidemann, Claus","last_name":"Scheidemann","first_name":"Claus"},{"last_name":"Porzenheim","first_name":"Julius","full_name":"Porzenheim, Julius"},{"id":"210","full_name":"Hemsel, Tobias","first_name":"Tobias","last_name":"Hemsel"},{"id":"21220","last_name":"Sextro","first_name":"Walter","full_name":"Sextro, Walter"}],"status":"public","title":"Investigation of the Setting Behaviour of Mechanically Biased Piezoelectric Ultrasonic Transducers","year":"2025","has_accepted_license":"1","date_updated":"2026-03-02T10:59:36Z","language":[{"iso":"eng"}],"_id":"61757","ddc":["620"],"user_id":"210","citation":{"bibtex":"@inproceedings{Scheidemann_Porzenheim_Hemsel_Sextro_2025, title={Investigation of the Setting Behaviour of Mechanically Biased Piezoelectric Ultrasonic Transducers}, author={Scheidemann, Claus and Porzenheim, Julius and Hemsel, Tobias and Sextro, Walter}, year={2025} }","ama":"Scheidemann C, Porzenheim J, Hemsel T, Sextro W. Investigation of the Setting Behaviour of Mechanically Biased Piezoelectric Ultrasonic Transducers. In: ; 2025.","mla":"Scheidemann, Claus, et al. Investigation of the Setting Behaviour of Mechanically Biased Piezoelectric Ultrasonic Transducers. 2025.","chicago":"Scheidemann, Claus, Julius Porzenheim, Tobias Hemsel, and Walter Sextro. “Investigation of the Setting Behaviour of Mechanically Biased Piezoelectric Ultrasonic Transducers,” 2025.","short":"C. Scheidemann, J. Porzenheim, T. Hemsel, W. Sextro, in: 2025.","ieee":"C. Scheidemann, J. Porzenheim, T. Hemsel, and W. Sextro, “Investigation of the Setting Behaviour of Mechanically Biased Piezoelectric Ultrasonic Transducers,” presented at the 2025 International Congress on Ultrasonics (ICU), Paderborn, Germany, 2025.","apa":"Scheidemann, C., Porzenheim, J., Hemsel, T., & Sextro, W. (2025). Investigation of the Setting Behaviour of Mechanically Biased Piezoelectric Ultrasonic Transducers. 2025 International Congress on Ultrasonics (ICU), Paderborn, Germany."},"file_date_updated":"2026-03-02T10:59:36Z","project":[{"name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)","_id":"245"}],"date_created":"2025-10-08T14:33:44Z","file":[{"date_created":"2026-01-30T07:30:44Z","creator":"hemsel","content_type":"application/pdf","file_id":"63816","access_level":"open_access","file_size":783790,"file_name":"Sch25_ICU_2025.pdf","date_updated":"2026-03-02T10:59:36Z","relation":"main_file"}],"oa":"1","department":[{"_id":"151"}],"type":"conference"},{"doi":"10.1051/aacus/2025044","main_file_link":[{"open_access":"1","url":"https://acta-acustica.edpsciences.org/articles/aacus/abs/2025/01/aacus250049/aacus250049.html"}],"language":[{"iso":"eng"}],"date_updated":"2026-01-05T08:00:05Z","publication_status":"published","intvolume":" 9","article_type":"original","title":"Machine Learning-Supported Inverse Measurement Procedure for Broadband, Temperature Dependent Piezoelectric Material Parameters","year":"2025","publication_identifier":{"issn":["2681-4617"]},"author":[{"id":"11829","orcid":"0000-0002-4393-268X","first_name":"Leander","last_name":"Claes","full_name":"Claes, Leander"},{"full_name":"Koch, Kevin","last_name":"Koch","first_name":"Kevin"},{"id":"44026","first_name":"Olga","last_name":"Friesen","full_name":"Friesen, Olga"},{"id":"24769","full_name":"Meihost, Lars","last_name":"Meihost","first_name":"Lars"}],"type":"journal_article","department":[{"_id":"49"}],"date_created":"2025-10-27T08:20:53Z","issue":"65","publication":"Acta Acustica","user_id":"11829","volume":9,"_id":"62000","publisher":"EDP Sciences","status":"public","oa":"1","project":[{"_id":"52","name":"Computing Resources Provided by the Paderborn Center for Parallel Computing"},{"_id":"245","name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)"}],"citation":{"mla":"Claes, Leander, et al. “Machine Learning-Supported Inverse Measurement Procedure for Broadband, Temperature Dependent Piezoelectric Material Parameters.” Acta Acustica, vol. 9, no. 65, EDP Sciences, 2025, doi:10.1051/aacus/2025044.","bibtex":"@article{Claes_Koch_Friesen_Meihost_2025, title={Machine Learning-Supported Inverse Measurement Procedure for Broadband, Temperature Dependent Piezoelectric Material Parameters}, volume={9}, DOI={10.1051/aacus/2025044}, number={65}, journal={Acta Acustica}, publisher={EDP Sciences}, author={Claes, Leander and Koch, Kevin and Friesen, Olga and Meihost, Lars}, year={2025} }","ama":"Claes L, Koch K, Friesen O, Meihost L. Machine Learning-Supported Inverse Measurement Procedure for Broadband, Temperature Dependent Piezoelectric Material Parameters. Acta Acustica. 2025;9(65). doi:10.1051/aacus/2025044","ieee":"L. Claes, K. Koch, O. Friesen, and L. Meihost, “Machine Learning-Supported Inverse Measurement Procedure for Broadband, Temperature Dependent Piezoelectric Material Parameters,” Acta Acustica, vol. 9, no. 65, 2025, doi: 10.1051/aacus/2025044.","apa":"Claes, L., Koch, K., Friesen, O., & Meihost, L. (2025). Machine Learning-Supported Inverse Measurement Procedure for Broadband, Temperature Dependent Piezoelectric Material Parameters. Acta Acustica, 9(65). https://doi.org/10.1051/aacus/2025044","short":"L. Claes, K. Koch, O. Friesen, L. Meihost, Acta Acustica 9 (2025).","chicago":"Claes, Leander, Kevin Koch, Olga Friesen, and Lars Meihost. “Machine Learning-Supported Inverse Measurement Procedure for Broadband, Temperature Dependent Piezoelectric Material Parameters.” Acta Acustica 9, no. 65 (2025). https://doi.org/10.1051/aacus/2025044."}},{"issue":"11","publication":"Mathematical Models and Methods in Applied Sciences","date_created":"2024-06-20T13:43:42Z","department":[{"_id":"90"},{"_id":"49"}],"type":"journal_article","author":[{"id":"11829","last_name":"Claes","orcid":"0000-0002-4393-268X","first_name":"Leander","full_name":"Claes, Leander"},{"full_name":"Lankeit, Johannes","first_name":"Johannes","last_name":"Lankeit"},{"id":"31496","first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael"}],"publication_identifier":{"issn":["1793-6314"]},"title":"A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions","year":"2025","intvolume":" 35","date_updated":"2026-01-05T07:59:41Z","language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/pdf/2411.14900"}],"doi":"10.1142/s0218202525500447","citation":{"short":"L. Claes, J. Lankeit, M. Winkler, Mathematical Models and Methods in Applied Sciences 35 (2025) 2465–2512.","chicago":"Claes, Leander, Johannes Lankeit, and Michael Winkler. “A Model for Heat Generation by Acoustic Waves in Piezoelectric Materials: Global Large-Data Solutions.” Mathematical Models and Methods in Applied Sciences 35, no. 11 (2025): 2465–2512. https://doi.org/10.1142/s0218202525500447.","apa":"Claes, L., Lankeit, J., & Winkler, M. (2025). A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions. Mathematical Models and Methods in Applied Sciences, 35(11), 2465–2512. https://doi.org/10.1142/s0218202525500447","ieee":"L. Claes, J. Lankeit, and M. Winkler, “A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions,” Mathematical Models and Methods in Applied Sciences, vol. 35, no. 11, pp. 2465–2512, 2025, doi: 10.1142/s0218202525500447.","ama":"Claes L, Lankeit J, Winkler M. A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions. Mathematical Models and Methods in Applied Sciences. 2025;35(11):2465-2512. doi:10.1142/s0218202525500447","bibtex":"@article{Claes_Lankeit_Winkler_2025, title={A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions}, volume={35}, DOI={10.1142/s0218202525500447}, number={11}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Claes, Leander and Lankeit, Johannes and Winkler, Michael}, year={2025}, pages={2465–2512} }","mla":"Claes, Leander, et al. “A Model for Heat Generation by Acoustic Waves in Piezoelectric Materials: Global Large-Data Solutions.” Mathematical Models and Methods in Applied Sciences, vol. 35, no. 11, World Scientific Pub Co Pte Ltd, 2025, pp. 2465–512, doi:10.1142/s0218202525500447."},"project":[{"_id":"245","name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)"}],"external_id":{"arxiv":["2411.14900"]},"oa":"1","status":"public","_id":"54837","publisher":"World Scientific Pub Co Pte Ltd","page":"2465-2512","volume":35,"user_id":"11829"},{"department":[{"_id":"49"},{"_id":"151"}],"type":"conference","place":"Paderborn","date_created":"2025-11-25T12:23:06Z","project":[{"_id":"245","name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)"}],"citation":{"mla":"Friesen, Olga, et al. “Sensitivity Analysis and Material Parameter Estimation of a Pre-Stressed Langevin Transducer.” 2025 International Congress on Ultrasonics, AMA Service GmbH, 2025, pp. 138–141, doi:10.5162/ultrasonic2025/a18-a4.","ama":"Friesen O, Scheidemann C, Claes L, Hemsel T, Henning B. Sensitivity Analysis and Material Parameter Estimation of a Pre-Stressed Langevin Transducer. In: 2025 International Congress on Ultrasonics. AMA Service GmbH; 2025:138–141. doi:10.5162/ultrasonic2025/a18-a4","bibtex":"@inproceedings{Friesen_Scheidemann_Claes_Hemsel_Henning_2025, place={Paderborn}, title={Sensitivity Analysis and Material Parameter Estimation of a Pre-Stressed Langevin Transducer}, DOI={10.5162/ultrasonic2025/a18-a4}, booktitle={2025 International Congress on Ultrasonics}, publisher={AMA Service GmbH}, author={Friesen, Olga and Scheidemann, Claus and Claes, Leander and Hemsel, Tobias and Henning, Bernd}, year={2025}, pages={138–141} }","apa":"Friesen, O., Scheidemann, C., Claes, L., Hemsel, T., & Henning, B. (2025). Sensitivity Analysis and Material Parameter Estimation of a Pre-Stressed Langevin Transducer. 2025 International Congress on Ultrasonics, 138–141. https://doi.org/10.5162/ultrasonic2025/a18-a4","ieee":"O. Friesen, C. Scheidemann, L. Claes, T. Hemsel, and B. Henning, “Sensitivity Analysis and Material Parameter Estimation of a Pre-Stressed Langevin Transducer,” in 2025 International Congress on Ultrasonics, 2025, pp. 138–141, doi: 10.5162/ultrasonic2025/a18-a4.","chicago":"Friesen, Olga, Claus Scheidemann, Leander Claes, Tobias Hemsel, and Bernd Henning. “Sensitivity Analysis and Material Parameter Estimation of a Pre-Stressed Langevin Transducer.” In 2025 International Congress on Ultrasonics, 138–141. Paderborn: AMA Service GmbH, 2025. https://doi.org/10.5162/ultrasonic2025/a18-a4.","short":"O. Friesen, C. Scheidemann, L. Claes, T. Hemsel, B. Henning, in: 2025 International Congress on Ultrasonics, AMA Service GmbH, Paderborn, 2025, pp. 138–141."},"publication":"2025 International Congress on Ultrasonics","doi":"10.5162/ultrasonic2025/a18-a4","user_id":"11829","_id":"62299","publisher":"AMA Service GmbH","language":[{"iso":"eng"}],"page":"138–141","date_updated":"2026-01-05T08:00:48Z","author":[{"full_name":"Friesen, Olga","first_name":"Olga","last_name":"Friesen","id":"44026"},{"full_name":"Scheidemann, Claus","first_name":"Claus","last_name":"Scheidemann","id":"38259"},{"full_name":"Claes, Leander","last_name":"Claes","first_name":"Leander","orcid":"0000-0002-4393-268X","id":"11829"},{"full_name":"Hemsel, Tobias","first_name":"Tobias","last_name":"Hemsel","id":"210"},{"full_name":"Henning, Bernd","first_name":"Bernd","last_name":"Henning","id":"213"}],"title":"Sensitivity Analysis and Material Parameter Estimation of a Pre-Stressed Langevin Transducer","status":"public","year":"2025"},{"project":[{"name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)","_id":"245"}],"publication":"2025 International Congress on Ultrasonics","citation":{"bibtex":"@inproceedings{Kuess_Friesen_Henning_Walther_2025, place={Germany}, title={Identification of temperature-dependent material parameter functions in piezoelectricity}, DOI={10.5162/ultrasonic2025/a18-a3}, booktitle={2025 International Congress on Ultrasonics}, publisher={AMA Service GmbH}, author={Kuess, Raphael and Friesen, Olga and Henning, Bernd and Walther, Andrea}, year={2025}, pages={134–137} }","ama":"Kuess R, Friesen O, Henning B, Walther A. Identification of temperature-dependent material parameter functions in piezoelectricity. In: 2025 International Congress on Ultrasonics. AMA Service GmbH; 2025:134–137. doi:10.5162/ultrasonic2025/a18-a3","mla":"Kuess, Raphael, et al. “Identification of Temperature-Dependent Material Parameter Functions in Piezoelectricity.” 2025 International Congress on Ultrasonics, AMA Service GmbH, 2025, pp. 134–137, doi:10.5162/ultrasonic2025/a18-a3.","short":"R. Kuess, O. Friesen, B. Henning, A. Walther, in: 2025 International Congress on Ultrasonics, AMA Service GmbH, Germany, 2025, pp. 134–137.","chicago":"Kuess, Raphael, Olga Friesen, Bernd Henning, and Andrea Walther. “Identification of Temperature-Dependent Material Parameter Functions in Piezoelectricity.” In 2025 International Congress on Ultrasonics, 134–137. Germany: AMA Service GmbH, 2025. https://doi.org/10.5162/ultrasonic2025/a18-a3.","ieee":"R. Kuess, O. Friesen, B. Henning, and A. Walther, “Identification of temperature-dependent material parameter functions in piezoelectricity,” in 2025 International Congress on Ultrasonics, 2025, pp. 134–137, doi: 10.5162/ultrasonic2025/a18-a3.","apa":"Kuess, R., Friesen, O., Henning, B., & Walther, A. (2025). Identification of temperature-dependent material parameter functions in piezoelectricity. 2025 International Congress on Ultrasonics, 134–137. https://doi.org/10.5162/ultrasonic2025/a18-a3"},"type":"conference","department":[{"_id":"49"}],"date_created":"2025-11-25T12:23:06Z","place":"Germany","date_updated":"2026-01-05T08:01:47Z","status":"public","title":"Identification of temperature-dependent material parameter functions in piezoelectricity","year":"2025","author":[{"full_name":"Kuess, Raphael","last_name":"Kuess","first_name":"Raphael"},{"id":"44026","full_name":"Friesen, Olga","last_name":"Friesen","first_name":"Olga"},{"id":"213","last_name":"Henning","first_name":"Bernd","full_name":"Henning, Bernd"},{"full_name":"Walther, Andrea","last_name":"Walther","first_name":"Andrea"}],"user_id":"11829","doi":"10.5162/ultrasonic2025/a18-a3","page":"134–137","_id":"62298","publisher":"AMA Service GmbH","language":[{"iso":"eng"}]},{"year":"2025","status":"public","title":"Estimation of piezoelectric material parameters under varying electric field conditions","author":[{"full_name":"Friesen, Olga","last_name":"Friesen","first_name":"Olga","id":"44026"},{"full_name":"Meihost, Lars","last_name":"Meihost","first_name":"Lars","id":"24769"},{"full_name":"Koch, Kevin","first_name":"Kevin","last_name":"Koch"},{"last_name":"Claes","first_name":"Leander","orcid":"0000-0002-4393-268X","full_name":"Claes, Leander","id":"11829"},{"first_name":"Bernd","last_name":"Henning","full_name":"Henning, Bernd","id":"213"}],"conference":{"end_date":"2025-03-20","name":"DAS | DAGA 2025 - 51st Annual Meeting on Acoustics","start_date":"2025-03-17","location":"Copenhagen"},"date_updated":"2026-01-05T08:02:20Z","main_file_link":[{"open_access":"1"}],"language":[{"iso":"eng"}],"_id":"59689","user_id":"11829","doi":"10.71568/DASDAGA2025.078","citation":{"bibtex":"@inproceedings{Friesen_Meihost_Koch_Claes_Henning_2025, title={Estimation of piezoelectric material parameters under varying electric field conditions}, DOI={10.71568/DASDAGA2025.078}, author={Friesen, Olga and Meihost, Lars and Koch, Kevin and Claes, Leander and Henning, Bernd}, year={2025} }","ama":"Friesen O, Meihost L, Koch K, Claes L, Henning B. Estimation of piezoelectric material parameters under varying electric field conditions. In: ; 2025. doi:10.71568/DASDAGA2025.078","mla":"Friesen, Olga, et al. Estimation of Piezoelectric Material Parameters under Varying Electric Field Conditions. 2025, doi:10.71568/DASDAGA2025.078.","chicago":"Friesen, Olga, Lars Meihost, Kevin Koch, Leander Claes, and Bernd Henning. “Estimation of Piezoelectric Material Parameters under Varying Electric Field Conditions,” 2025. https://doi.org/10.71568/DASDAGA2025.078.","short":"O. Friesen, L. Meihost, K. Koch, L. Claes, B. Henning, in: 2025.","ieee":"O. Friesen, L. Meihost, K. Koch, L. Claes, and B. Henning, “Estimation of piezoelectric material parameters under varying electric field conditions,” presented at the DAS | DAGA 2025 - 51st Annual Meeting on Acoustics, Copenhagen, 2025, doi: 10.71568/DASDAGA2025.078.","apa":"Friesen, O., Meihost, L., Koch, K., Claes, L., & Henning, B. (2025). Estimation of piezoelectric material parameters under varying electric field conditions. DAS | DAGA 2025 - 51st Annual Meeting on Acoustics, Copenhagen. https://doi.org/10.71568/DASDAGA2025.078"},"project":[{"_id":"52","name":"PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing"},{"name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)","_id":"245"}],"date_created":"2025-04-25T08:51:32Z","type":"conference","department":[{"_id":"49"}],"oa":"1"},{"user_id":"31496","volume":76,"_id":"63250","publisher":"Springer Science and Business Media LLC","status":"public","project":[{"name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)","_id":"245"}],"citation":{"ieee":"M. Winkler, “Large-data solutions in one-dimensional thermoviscoelasticity involving temperature-dependent viscosities,” Zeitschrift für angewandte Mathematik und Physik, vol. 76, no. 5, Art. no. 192, 2025, doi: 10.1007/s00033-025-02582-y.","apa":"Winkler, M. (2025). Large-data solutions in one-dimensional thermoviscoelasticity involving temperature-dependent viscosities. Zeitschrift Für Angewandte Mathematik Und Physik, 76(5), Article 192. https://doi.org/10.1007/s00033-025-02582-y","short":"M. Winkler, Zeitschrift Für Angewandte Mathematik Und Physik 76 (2025).","chicago":"Winkler, Michael. “Large-Data Solutions in One-Dimensional Thermoviscoelasticity Involving Temperature-Dependent Viscosities.” Zeitschrift Für Angewandte Mathematik Und Physik 76, no. 5 (2025). https://doi.org/10.1007/s00033-025-02582-y.","mla":"Winkler, Michael. “Large-Data Solutions in One-Dimensional Thermoviscoelasticity Involving Temperature-Dependent Viscosities.” Zeitschrift Für Angewandte Mathematik Und Physik, vol. 76, no. 5, 192, Springer Science and Business Media LLC, 2025, doi:10.1007/s00033-025-02582-y.","bibtex":"@article{Winkler_2025, title={Large-data solutions in one-dimensional thermoviscoelasticity involving temperature-dependent viscosities}, volume={76}, DOI={10.1007/s00033-025-02582-y}, number={5192}, journal={Zeitschrift für angewandte Mathematik und Physik}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2025} }","ama":"Winkler M. Large-data solutions in one-dimensional thermoviscoelasticity involving temperature-dependent viscosities. Zeitschrift für angewandte Mathematik und Physik. 2025;76(5). doi:10.1007/s00033-025-02582-y"},"doi":"10.1007/s00033-025-02582-y","article_number":"192","language":[{"iso":"eng"}],"date_updated":"2026-04-23T12:20:44Z","publication_status":"published","intvolume":" 76","year":"2025","title":"Large-data solutions in one-dimensional thermoviscoelasticity involving temperature-dependent viscosities","author":[{"id":"31496","full_name":"Winkler, Michael","first_name":"Michael","last_name":"Winkler"}],"publication_identifier":{"issn":["0044-2275","1420-9039"]},"type":"journal_article","date_created":"2025-12-18T19:03:19Z","abstract":[{"text":"Abstract\r\n \r\n An initial-boundary value problem for\r\n \r\n \r\n $$\\begin{aligned} \\left\\{ \\begin{array}{ll}u_{tt} = \\big (\\gamma (\\Theta ) u_{xt}\\big )_x + au_{xx} - \\big (f(\\Theta )\\big )_x, \\qquad & x\\in \\Omega , \\ t>0, \\\\[1mm] \\Theta _t = \\Theta _{xx} + \\gamma (\\Theta ) u_{xt}^2 - f(\\Theta ) u_{xt}, \\qquad & x\\in \\Omega , \\ t>0, \\end{array} \\right. \\end{aligned}$$\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n u\r\n \r\n tt\r\n \r\n \r\n =\r\n \r\n (\r\n \r\n γ\r\n \r\n (\r\n Θ\r\n )\r\n \r\n \r\n u\r\n \r\n xt\r\n \r\n \r\n \r\n \r\n )\r\n \r\n x\r\n \r\n +\r\n a\r\n \r\n u\r\n \r\n xx\r\n \r\n \r\n -\r\n \r\n (\r\n \r\n f\r\n \r\n (\r\n Θ\r\n )\r\n \r\n \r\n \r\n )\r\n \r\n x\r\n \r\n ,\r\n \r\n \r\n \r\n \r\n \r\n x\r\n ∈\r\n Ω\r\n ,\r\n \r\n t\r\n >\r\n 0\r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n [\r\n 1\r\n m\r\n m\r\n ]\r\n \r\n \r\n Θ\r\n t\r\n \r\n =\r\n \r\n Θ\r\n \r\n xx\r\n \r\n \r\n +\r\n γ\r\n \r\n (\r\n Θ\r\n )\r\n \r\n \r\n u\r\n \r\n xt\r\n \r\n 2\r\n \r\n -\r\n f\r\n \r\n (\r\n Θ\r\n )\r\n \r\n \r\n u\r\n \r\n xt\r\n \r\n \r\n ,\r\n \r\n \r\n \r\n \r\n \r\n x\r\n ∈\r\n Ω\r\n ,\r\n \r\n t\r\n >\r\n 0\r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n is considered in an open bounded real interval\r\n \r\n \r\n $$\\Omega $$\r\n \r\n Ω\r\n \r\n \r\n \r\n . Under the assumption that\r\n \r\n \r\n $$\\gamma \\in C^0([0,\\infty ))$$\r\n \r\n \r\n γ\r\n ∈\r\n \r\n C\r\n 0\r\n \r\n \r\n (\r\n \r\n [\r\n 0\r\n ,\r\n ∞\r\n )\r\n \r\n )\r\n \r\n \r\n \r\n \r\n \r\n and\r\n \r\n \r\n $$f\\in C^0([0,\\infty ))$$\r\n \r\n \r\n f\r\n ∈\r\n \r\n C\r\n 0\r\n \r\n \r\n (\r\n \r\n [\r\n 0\r\n ,\r\n ∞\r\n )\r\n \r\n )\r\n \r\n \r\n \r\n \r\n \r\n are such that\r\n \r\n \r\n $$f(0)=0$$\r\n \r\n \r\n f\r\n (\r\n 0\r\n )\r\n =\r\n 0\r\n \r\n \r\n \r\n \r\n , and\r\n \r\n \r\n $$k_\\gamma \\le \\gamma \\le K_\\gamma $$\r\n \r\n \r\n \r\n k\r\n γ\r\n \r\n ≤\r\n γ\r\n ≤\r\n \r\n K\r\n γ\r\n \r\n \r\n \r\n \r\n \r\n as well as\r\n \r\n \r\n $$\\begin{aligned} |f(\\xi )| \\le K_f \\cdot (\\xi +1)^\\alpha \\qquad \\hbox {for all } \\xi \\ge 0 \\end{aligned}$$\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n |\r\n f\r\n \r\n (\r\n ξ\r\n )\r\n \r\n |\r\n \r\n ≤\r\n \r\n K\r\n f\r\n \r\n ·\r\n \r\n \r\n (\r\n ξ\r\n +\r\n 1\r\n )\r\n \r\n α\r\n \r\n \r\n for all\r\n \r\n ξ\r\n ≥\r\n 0\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n with some\r\n \r\n \r\n $$k_\\gamma>0, K_\\gamma>0, K_f>0$$\r\n \r\n \r\n \r\n k\r\n γ\r\n \r\n >\r\n 0\r\n ,\r\n \r\n K\r\n γ\r\n \r\n >\r\n 0\r\n ,\r\n \r\n K\r\n f\r\n \r\n >\r\n 0\r\n \r\n \r\n \r\n \r\n and\r\n \r\n \r\n $$\\alpha <\\frac{3}{2}$$\r\n \r\n \r\n α\r\n <\r\n \r\n 3\r\n 2\r\n \r\n \r\n \r\n \r\n \r\n , for all suitably regular initial data of arbitrary size a statement on global existence of a global weak solution is derived. By particularly covering the thermodynamically consistent choice\r\n \r\n \r\n $$f\\equiv id$$\r\n \r\n \r\n f\r\n ≡\r\n i\r\n d\r\n \r\n \r\n \r\n \r\n of predominant physical relevance, this appears to go beyond previous related literature which seems to either rely on independence of\r\n \r\n \r\n $$\\gamma $$\r\n \r\n γ\r\n \r\n \r\n \r\n on\r\n \r\n \r\n $$\\Theta $$\r\n \r\n Θ\r\n \r\n \r\n \r\n , or to operate on finite time intervals.\r\n ","lang":"eng"}],"publication":"Zeitschrift für angewandte Mathematik und Physik","issue":"5"},{"_id":"63249","publisher":"Springer Science and Business Media LLC","user_id":"31496","volume":25,"status":"public","citation":{"apa":"Winkler, M. (2025). Large-data regular solutions in a one-dimensional thermoviscoelastic evolution problem involving temperature-dependent viscosities. Journal of Evolution Equations, 25(4), Article 108. https://doi.org/10.1007/s00028-025-01144-z","mla":"Winkler, Michael. “Large-Data Regular Solutions in a One-Dimensional Thermoviscoelastic Evolution Problem Involving Temperature-Dependent Viscosities.” Journal of Evolution Equations, vol. 25, no. 4, 108, Springer Science and Business Media LLC, 2025, doi:10.1007/s00028-025-01144-z.","ieee":"M. Winkler, “Large-data regular solutions in a one-dimensional thermoviscoelastic evolution problem involving temperature-dependent viscosities,” Journal of Evolution Equations, vol. 25, no. 4, Art. no. 108, 2025, doi: 10.1007/s00028-025-01144-z.","chicago":"Winkler, Michael. “Large-Data Regular Solutions in a One-Dimensional Thermoviscoelastic Evolution Problem Involving Temperature-Dependent Viscosities.” Journal of Evolution Equations 25, no. 4 (2025). https://doi.org/10.1007/s00028-025-01144-z.","short":"M. Winkler, Journal of Evolution Equations 25 (2025).","ama":"Winkler M. Large-data regular solutions in a one-dimensional thermoviscoelastic evolution problem involving temperature-dependent viscosities. Journal of Evolution Equations. 2025;25(4). doi:10.1007/s00028-025-01144-z","bibtex":"@article{Winkler_2025, title={Large-data regular solutions in a one-dimensional thermoviscoelastic evolution problem involving temperature-dependent viscosities}, volume={25}, DOI={10.1007/s00028-025-01144-z}, number={4108}, journal={Journal of Evolution Equations}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2025} }"},"project":[{"name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)","_id":"245"}],"article_number":"108","language":[{"iso":"eng"}],"doi":"10.1007/s00028-025-01144-z","year":"2025","title":"Large-data regular solutions in a one-dimensional thermoviscoelastic evolution problem involving temperature-dependent viscosities","author":[{"id":"31496","full_name":"Winkler, Michael","first_name":"Michael","last_name":"Winkler"}],"publication_identifier":{"issn":["1424-3199","1424-3202"]},"publication_status":"published","date_updated":"2026-04-23T12:19:51Z","intvolume":" 25","date_created":"2025-12-18T19:02:51Z","type":"journal_article","publication":"Journal of Evolution Equations","issue":"4","abstract":[{"lang":"eng","text":"Abstract\r\n \r\n The model\r\n \r\n \r\n $$\\begin{aligned} \\left\\{ \\begin{array}{l}u_{tt} = \\big (\\gamma (\\Theta ) u_{xt}\\big )_x + au_{xx} - \\big (f(\\Theta )\\big )_x, \\\\[1mm] \\Theta _t = \\Theta _{xx} + \\gamma (\\Theta ) u_{xt}^2 - f(\\Theta ) u_{xt}, \\end{array} \\right. \\end{aligned}$$\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n u\r\n \r\n tt\r\n \r\n \r\n =\r\n \r\n (\r\n \r\n γ\r\n \r\n (\r\n Θ\r\n )\r\n \r\n \r\n u\r\n \r\n xt\r\n \r\n \r\n \r\n \r\n )\r\n \r\n x\r\n \r\n +\r\n a\r\n \r\n u\r\n \r\n xx\r\n \r\n \r\n -\r\n \r\n (\r\n \r\n f\r\n \r\n (\r\n Θ\r\n )\r\n \r\n \r\n \r\n )\r\n \r\n x\r\n \r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n [\r\n 1\r\n m\r\n m\r\n ]\r\n \r\n \r\n Θ\r\n t\r\n \r\n =\r\n \r\n Θ\r\n \r\n xx\r\n \r\n \r\n +\r\n γ\r\n \r\n (\r\n Θ\r\n )\r\n \r\n \r\n u\r\n \r\n xt\r\n \r\n 2\r\n \r\n -\r\n f\r\n \r\n (\r\n Θ\r\n )\r\n \r\n \r\n u\r\n \r\n xt\r\n \r\n \r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n for thermoviscoelastic evolution in one-dimensional Kelvin–Voigt materials is considered. By means of an approach based on maximal Sobolev regularity theory of scalar parabolic equations, it is shown that if\r\n \r\n \r\n $$\\gamma _0>0$$\r\n \r\n \r\n \r\n γ\r\n 0\r\n \r\n >\r\n 0\r\n \r\n \r\n \r\n \r\n is fixed, then there exists\r\n \r\n \r\n $$\\delta =\\delta (\\gamma _0)>0$$\r\n \r\n \r\n δ\r\n =\r\n δ\r\n (\r\n \r\n γ\r\n 0\r\n \r\n )\r\n >\r\n 0\r\n \r\n \r\n \r\n \r\n with the property that for suitably regular initial data of arbitrary size an associated initial boundary value problem posed in an open bounded interval admits a global classical solution whenever\r\n \r\n \r\n $$\\gamma \\in C^2([0,\\infty ))$$\r\n \r\n \r\n γ\r\n ∈\r\n \r\n C\r\n 2\r\n \r\n \r\n (\r\n \r\n [\r\n 0\r\n ,\r\n ∞\r\n )\r\n \r\n )\r\n \r\n \r\n \r\n \r\n \r\n and\r\n \r\n \r\n $$f\\in C^2([0,\\infty ))$$\r\n \r\n \r\n f\r\n ∈\r\n \r\n C\r\n 2\r\n \r\n \r\n (\r\n \r\n [\r\n 0\r\n ,\r\n ∞\r\n )\r\n \r\n )\r\n \r\n \r\n \r\n \r\n \r\n are such that\r\n \r\n \r\n $$f(0)=0$$\r\n \r\n \r\n f\r\n (\r\n 0\r\n )\r\n =\r\n 0\r\n \r\n \r\n \r\n \r\n and\r\n \r\n \r\n $$|f(\\xi )| \\le K_f \\cdot (\\xi +1)^\\alpha $$\r\n \r\n \r\n \r\n |\r\n f\r\n \r\n (\r\n ξ\r\n )\r\n \r\n |\r\n \r\n ≤\r\n \r\n K\r\n f\r\n \r\n ·\r\n \r\n \r\n (\r\n ξ\r\n +\r\n 1\r\n )\r\n \r\n α\r\n \r\n \r\n \r\n \r\n \r\n for all\r\n \r\n \r\n $$\\xi \\ge 0$$\r\n \r\n \r\n ξ\r\n ≥\r\n 0\r\n \r\n \r\n \r\n \r\n and some\r\n \r\n \r\n $$K_f>0$$\r\n \r\n \r\n \r\n K\r\n f\r\n \r\n >\r\n 0\r\n \r\n \r\n \r\n \r\n and\r\n \r\n \r\n $$\\alpha <\\frac{3}{2}$$\r\n \r\n \r\n α\r\n <\r\n \r\n 3\r\n 2\r\n \r\n \r\n \r\n \r\n \r\n , and that\r\n \r\n \r\n $$\\begin{aligned} \\gamma _0 \\le \\gamma (\\xi ) \\le \\gamma _0 + \\delta \\qquad \\hbox {for all } \\xi \\ge 0. \\end{aligned}$$\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n γ\r\n 0\r\n \r\n ≤\r\n γ\r\n \r\n (\r\n ξ\r\n )\r\n \r\n ≤\r\n \r\n γ\r\n 0\r\n \r\n +\r\n δ\r\n \r\n for all\r\n \r\n ξ\r\n ≥\r\n 0\r\n .\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n This is supplemented by a statement on global existence of certain strong solutions, particularly continuous in both components, under weaker conditions on the initial data.\r\n "}]},{"user_id":"31496","volume":65,"_id":"63246","publisher":"Springer Science and Business Media LLC","status":"public","project":[{"_id":"245","name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)"}],"citation":{"ieee":"M. Winkler, “Rough solutions in one-dimensional nonlinear thermoelasticity,” Calculus of Variations and Partial Differential Equations, vol. 65, no. 1, Art. no. 1, 2025, doi: 10.1007/s00526-025-03170-8.","apa":"Winkler, M. (2025). Rough solutions in one-dimensional nonlinear thermoelasticity. Calculus of Variations and Partial Differential Equations, 65(1), Article 1. https://doi.org/10.1007/s00526-025-03170-8","short":"M. Winkler, Calculus of Variations and Partial Differential Equations 65 (2025).","chicago":"Winkler, Michael. “Rough Solutions in One-Dimensional Nonlinear Thermoelasticity.” Calculus of Variations and Partial Differential Equations 65, no. 1 (2025). https://doi.org/10.1007/s00526-025-03170-8.","mla":"Winkler, Michael. “Rough Solutions in One-Dimensional Nonlinear Thermoelasticity.” Calculus of Variations and Partial Differential Equations, vol. 65, no. 1, 1, Springer Science and Business Media LLC, 2025, doi:10.1007/s00526-025-03170-8.","bibtex":"@article{Winkler_2025, title={Rough solutions in one-dimensional nonlinear thermoelasticity}, volume={65}, DOI={10.1007/s00526-025-03170-8}, number={11}, journal={Calculus of Variations and Partial Differential Equations}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2025} }","ama":"Winkler M. Rough solutions in one-dimensional nonlinear thermoelasticity. Calculus of Variations and Partial Differential Equations. 2025;65(1). doi:10.1007/s00526-025-03170-8"},"doi":"10.1007/s00526-025-03170-8","article_number":"1","language":[{"iso":"eng"}],"date_updated":"2026-04-23T12:18:59Z","publication_status":"published","intvolume":" 65","title":"Rough solutions in one-dimensional nonlinear thermoelasticity","year":"2025","publication_identifier":{"issn":["0944-2669","1432-0835"]},"author":[{"id":"31496","last_name":"Winkler","first_name":"Michael","full_name":"Winkler, Michael"}],"type":"journal_article","date_created":"2025-12-18T19:01:02Z","abstract":[{"text":"Abstract\r\n \r\n The hyperbolic-parabolic model\r\n \r\n \r\n $$\\begin{aligned} \\left\\{ \\begin{array}{ll} u_{tt} = u_{xx} - \\big (f(\\Theta )\\big )_x, \\qquad & x\\in \\Omega , \\ t>0, \\\\ \\Theta _t = \\Theta _{xx} - f(\\Theta ) u_{xt}, \\qquad & x\\in \\Omega , \\ t>0, \\end{array} \\right. \\end{aligned}$$\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n u\r\n \r\n tt\r\n \r\n \r\n =\r\n \r\n u\r\n \r\n xx\r\n \r\n \r\n -\r\n \r\n (\r\n \r\n f\r\n \r\n (\r\n Θ\r\n )\r\n \r\n \r\n \r\n )\r\n \r\n x\r\n \r\n ,\r\n \r\n \r\n \r\n \r\n \r\n x\r\n ∈\r\n Ω\r\n ,\r\n \r\n t\r\n >\r\n 0\r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n Θ\r\n t\r\n \r\n =\r\n \r\n Θ\r\n \r\n xx\r\n \r\n \r\n -\r\n f\r\n \r\n (\r\n Θ\r\n )\r\n \r\n \r\n u\r\n \r\n xt\r\n \r\n \r\n ,\r\n \r\n \r\n \r\n \r\n \r\n x\r\n ∈\r\n Ω\r\n ,\r\n \r\n t\r\n >\r\n 0\r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n for the evolution of the displacement variable\r\n u\r\n and the temperature\r\n \r\n \r\n $$\\Theta \\ge 0$$\r\n \r\n \r\n Θ\r\n ≥\r\n 0\r\n \r\n \r\n \r\n \r\n during thermoelastic interaction in a one-dimensional bounded interval\r\n \r\n \r\n $$\\Omega $$\r\n \r\n Ω\r\n \r\n \r\n \r\n is considered. Whereas the literature has provided comprehensive results on global solutions for sufficiently regular initial data\r\n \r\n \r\n $$(u_0,u_{0t},\\Theta _0)=(u,u_t,\\Theta )|_{t=0}$$\r\n \r\n \r\n \r\n (\r\n \r\n u\r\n 0\r\n \r\n ,\r\n \r\n u\r\n \r\n 0\r\n t\r\n \r\n \r\n ,\r\n \r\n Θ\r\n 0\r\n \r\n )\r\n \r\n =\r\n \r\n (\r\n u\r\n ,\r\n \r\n u\r\n t\r\n \r\n ,\r\n Θ\r\n )\r\n \r\n \r\n \r\n |\r\n \r\n \r\n t\r\n =\r\n 0\r\n \r\n \r\n \r\n \r\n \r\n \r\n when\r\n \r\n \r\n $$f\\equiv id$$\r\n \r\n \r\n f\r\n ≡\r\n i\r\n d\r\n \r\n \r\n \r\n \r\n , it seems to have remained open so far how far a solution theory can be built solely on the two fundamental physical principles of energy conservation and entropy nondecrease. The present manuscript addresses this by asserting global existence of weak solutions under assumptions which are energy- and entropy-minimal in the sense of allowing for any initial data\r\n \r\n \r\n $$u_0\\in W_0^{1,2}(\\Omega )$$\r\n \r\n \r\n \r\n u\r\n 0\r\n \r\n ∈\r\n \r\n W\r\n 0\r\n \r\n 1\r\n ,\r\n 2\r\n \r\n \r\n \r\n (\r\n Ω\r\n )\r\n \r\n \r\n \r\n \r\n \r\n ,\r\n \r\n \r\n $$u_{0t} \\in L^2(\\Omega )$$\r\n \r\n \r\n \r\n u\r\n \r\n 0\r\n t\r\n \r\n \r\n ∈\r\n \r\n L\r\n 2\r\n \r\n \r\n (\r\n Ω\r\n )\r\n \r\n \r\n \r\n \r\n \r\n and\r\n \r\n \r\n $$0\\le \\Theta _0\\in L^1(\\Omega )$$\r\n \r\n \r\n 0\r\n ≤\r\n \r\n Θ\r\n 0\r\n \r\n ∈\r\n \r\n L\r\n 1\r\n \r\n \r\n (\r\n Ω\r\n )\r\n \r\n \r\n \r\n \r\n \r\n , and which apply to arbitrary\r\n \r\n \r\n $$f\\in C^1([0,\\infty ))$$\r\n \r\n \r\n f\r\n ∈\r\n \r\n C\r\n 1\r\n \r\n \r\n (\r\n \r\n [\r\n 0\r\n ,\r\n ∞\r\n )\r\n \r\n )\r\n \r\n \r\n \r\n \r\n \r\n with\r\n \r\n \r\n $$f(0)=0$$\r\n \r\n \r\n f\r\n (\r\n 0\r\n )\r\n =\r\n 0\r\n \r\n \r\n \r\n \r\n and\r\n \r\n \r\n $$f'>0$$\r\n \r\n \r\n \r\n f\r\n ′\r\n \r\n >\r\n 0\r\n \r\n \r\n \r\n \r\n on\r\n \r\n \r\n $$[0,\\infty )$$\r\n \r\n \r\n [\r\n 0\r\n ,\r\n ∞\r\n )\r\n \r\n \r\n \r\n \r\n .\r\n ","lang":"eng"}],"issue":"1","publication":"Calculus of Variations and Partial Differential Equations"},{"type":"conference","keyword":["tet_topic_piezo"],"department":[{"_id":"49"},{"_id":"61"}],"place":"Paderborn","date_created":"2025-11-25T12:23:06Z","project":[{"name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)","_id":"245"}],"publication":"2025 International Congress on Ultrasonics","citation":{"mla":"Hölscher, Jonas, et al. “Multiscale Thermo-Piezoelectric Simulations Using the Finite Element Method.” 2025 International Congress on Ultrasonics, AMA Service GmbH, 2025, pp. 130–133, doi:10.5162/ultrasonic2025/a18-a2.","ama":"Hölscher J, Friesen O, Claes L, Spieker C, Förstner J, Henning B. Multiscale thermo-piezoelectric simulations using the finite element method. In: 2025 International Congress on Ultrasonics. AMA Service GmbH; 2025:130–133. doi:10.5162/ultrasonic2025/a18-a2","bibtex":"@inproceedings{Hölscher_Friesen_Claes_Spieker_Förstner_Henning_2025, place={Paderborn}, title={Multiscale thermo-piezoelectric simulations using the finite element method}, DOI={10.5162/ultrasonic2025/a18-a2}, booktitle={2025 International Congress on Ultrasonics}, publisher={AMA Service GmbH}, author={Hölscher, Jonas and Friesen, Olga and Claes, Leander and Spieker, Carsten and Förstner, Jens and Henning, Bernd}, year={2025}, pages={130–133} }","apa":"Hölscher, J., Friesen, O., Claes, L., Spieker, C., Förstner, J., & Henning, B. (2025). Multiscale thermo-piezoelectric simulations using the finite element method. 2025 International Congress on Ultrasonics, 130–133. https://doi.org/10.5162/ultrasonic2025/a18-a2","ieee":"J. Hölscher, O. Friesen, L. Claes, C. Spieker, J. Förstner, and B. Henning, “Multiscale thermo-piezoelectric simulations using the finite element method,” in 2025 International Congress on Ultrasonics, 2025, pp. 130–133, doi: 10.5162/ultrasonic2025/a18-a2.","short":"J. Hölscher, O. Friesen, L. Claes, C. Spieker, J. Förstner, B. Henning, in: 2025 International Congress on Ultrasonics, AMA Service GmbH, Paderborn, 2025, pp. 130–133.","chicago":"Hölscher, Jonas, Olga Friesen, Leander Claes, Carsten Spieker, Jens Förstner, and Bernd Henning. “Multiscale Thermo-Piezoelectric Simulations Using the Finite Element Method.” In 2025 International Congress on Ultrasonics, 130–133. Paderborn: AMA Service GmbH, 2025. https://doi.org/10.5162/ultrasonic2025/a18-a2."},"doi":"10.5162/ultrasonic2025/a18-a2","user_id":"158","page":"130–133","language":[{"iso":"eng"}],"_id":"62297","publisher":"AMA Service GmbH","date_updated":"2026-06-08T17:55:35Z","year":"2025","title":"Multiscale thermo-piezoelectric simulations using the finite element method","status":"public","author":[{"full_name":"Hölscher, Jonas","first_name":"Jonas","last_name":"Hölscher","id":"73952"},{"id":"44026","full_name":"Friesen, Olga","orcid":"0009-0007-5598-9484","last_name":"Friesen","first_name":"Olga"},{"full_name":"Claes, Leander","first_name":"Leander","orcid":"0000-0002-4393-268X","last_name":"Claes","id":"11829"},{"last_name":"Spieker","first_name":"Carsten","full_name":"Spieker, Carsten","id":"67587"},{"full_name":"Förstner, Jens","last_name":"Förstner","orcid":"0000-0001-7059-9862","first_name":"Jens","id":"158"},{"last_name":"Henning","first_name":"Bernd","full_name":"Henning, Bernd","id":"213"}]},{"project":[{"_id":"245","name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)"}],"citation":{"chicago":"Spieker, Carsten, Jens Förstner, Jonas Hölscher, Leander Claes, and Bernd Henning. “Modeling and Simulation of the Behavior of Piezoceramics with the Discontinuous Galerkin Method.” In 2025 International Congress on Ultrasonics, 126–129. Paderborn: AMA Service GmbH, 2025. https://doi.org/10.5162/ultrasonic2025/a18-a1.","short":"C. Spieker, J. Förstner, J. Hölscher, L. Claes, B. Henning, in: 2025 International Congress on Ultrasonics, AMA Service GmbH, Paderborn, 2025, pp. 126–129.","apa":"Spieker, C., Förstner, J., Hölscher, J., Claes, L., & Henning, B. (2025). Modeling and simulation of the behavior of piezoceramics with the discontinuous Galerkin method. 2025 International Congress on Ultrasonics, 126–129. https://doi.org/10.5162/ultrasonic2025/a18-a1","ieee":"C. Spieker, J. Förstner, J. Hölscher, L. Claes, and B. Henning, “Modeling and simulation of the behavior of piezoceramics with the discontinuous Galerkin method,” in 2025 International Congress on Ultrasonics, 2025, pp. 126–129, doi: 10.5162/ultrasonic2025/a18-a1.","ama":"Spieker C, Förstner J, Hölscher J, Claes L, Henning B. Modeling and simulation of the behavior of piezoceramics with the discontinuous Galerkin method. In: 2025 International Congress on Ultrasonics. AMA Service GmbH; 2025:126–129. doi:10.5162/ultrasonic2025/a18-a1","bibtex":"@inproceedings{Spieker_Förstner_Hölscher_Claes_Henning_2025, place={Paderborn}, title={Modeling and simulation of the behavior of piezoceramics with the discontinuous Galerkin method}, DOI={10.5162/ultrasonic2025/a18-a1}, booktitle={2025 International Congress on Ultrasonics}, publisher={AMA Service GmbH}, author={Spieker, Carsten and Förstner, Jens and Hölscher, Jonas and Claes, Leander and Henning, Bernd}, year={2025}, pages={126–129} }","mla":"Spieker, Carsten, et al. “Modeling and Simulation of the Behavior of Piezoceramics with the Discontinuous Galerkin Method.” 2025 International Congress on Ultrasonics, AMA Service GmbH, 2025, pp. 126–129, doi:10.5162/ultrasonic2025/a18-a1."},"publication":"2025 International Congress on Ultrasonics","department":[{"_id":"49"},{"_id":"61"}],"keyword":["tet_topic_piezo"],"type":"conference","date_created":"2025-11-25T12:23:05Z","place":"Paderborn","date_updated":"2026-06-08T17:55:26Z","author":[{"id":"67587","last_name":"Spieker","first_name":"Carsten","full_name":"Spieker, Carsten"},{"orcid":"0000-0001-7059-9862","last_name":"Förstner","first_name":"Jens","full_name":"Förstner, Jens","id":"158"},{"id":"73952","full_name":"Hölscher, Jonas","first_name":"Jonas","last_name":"Hölscher"},{"id":"11829","orcid":"0000-0002-4393-268X","last_name":"Claes","first_name":"Leander","full_name":"Claes, Leander"},{"id":"213","last_name":"Henning","first_name":"Bernd","full_name":"Henning, Bernd"}],"title":"Modeling and simulation of the behavior of piezoceramics with the discontinuous Galerkin method","status":"public","year":"2025","user_id":"158","doi":"10.5162/ultrasonic2025/a18-a1","_id":"62296","language":[{"iso":"eng"}],"publisher":"AMA Service GmbH","page":"126–129"}]