--- _id: '52217' abstract: - lang: eng text: AbstractPolycarbonate (PC) is an amorphous polymer that is an extremely robust material with a high tenacity, and thus suitable for a lightweight construction with glass‐like transparency. Due to these advantageous properties, PC is often used in industry for example in medical devices, automotive headlamps, sporting equipment, electronics, and a variety of other products. PC is often subjected to uniaxial and biaxial loading conditions. Therefore, reliable material models have to take into account the various resulting experimental effects. For those reasons, we investigate PC specimens under uniaxial and biaxial loading by using different stretch rates and loading scenarios. In addition to that, we propose methods for optical measurement of local stretches to obtain the approximated local true stress. In future work, the displacement fields and the resulting reaction forces will be used for parameter identification of constitutive equations. author: - first_name: Ayoub full_name: Hamdoun, Ayoub last_name: Hamdoun - first_name: Rolf full_name: Mahnken, Rolf id: '335' last_name: Mahnken citation: ama: Hamdoun A, Mahnken R. Experimental investigations of uniaxial and biaxial cold stretching within PC‐films and bars using optical measurements. PAMM. Published online 2024. doi:10.1002/pamm.202300114 apa: Hamdoun, A., & Mahnken, R. (2024). Experimental investigations of uniaxial and biaxial cold stretching within PC‐films and bars using optical measurements. PAMM. https://doi.org/10.1002/pamm.202300114 bibtex: '@article{Hamdoun_Mahnken_2024, title={Experimental investigations of uniaxial and biaxial cold stretching within PC‐films and bars using optical measurements}, DOI={10.1002/pamm.202300114}, journal={PAMM}, publisher={Wiley}, author={Hamdoun, Ayoub and Mahnken, Rolf}, year={2024} }' chicago: Hamdoun, Ayoub, and Rolf Mahnken. “Experimental Investigations of Uniaxial and Biaxial Cold Stretching within PC‐films and Bars Using Optical Measurements.” PAMM, 2024. https://doi.org/10.1002/pamm.202300114. ieee: 'A. Hamdoun and R. Mahnken, “Experimental investigations of uniaxial and biaxial cold stretching within PC‐films and bars using optical measurements,” PAMM, 2024, doi: 10.1002/pamm.202300114.' mla: Hamdoun, Ayoub, and Rolf Mahnken. “Experimental Investigations of Uniaxial and Biaxial Cold Stretching within PC‐films and Bars Using Optical Measurements.” PAMM, Wiley, 2024, doi:10.1002/pamm.202300114. short: A. Hamdoun, R. Mahnken, PAMM (2024). date_created: 2024-02-29T13:53:13Z date_updated: 2024-02-29T13:58:38Z department: - _id: '9' - _id: '154' - _id: '321' doi: 10.1002/pamm.202300114 keyword: - Electrical and Electronic Engineering - Atomic and Molecular Physics - and Optics language: - iso: eng publication: PAMM publication_identifier: issn: - 1617-7061 - 1617-7061 publication_status: published publisher: Wiley quality_controlled: '1' status: public title: Experimental investigations of uniaxial and biaxial cold stretching within PC‐films and bars using optical measurements type: journal_article user_id: '335' year: '2024' ... --- _id: '52218' article_number: '112642' author: - first_name: Peter full_name: Lenz, Peter last_name: Lenz - first_name: Rolf full_name: Mahnken, Rolf id: '335' last_name: Mahnken citation: ama: Lenz P, Mahnken R. Multiscale simulation of polymer curing of composites combined mean-field homogenisation methods at large strains. International Journal of Solids and Structures. 2024;290. doi:10.1016/j.ijsolstr.2023.112642 apa: Lenz, P., & Mahnken, R. (2024). Multiscale simulation of polymer curing of composites combined mean-field homogenisation methods at large strains. International Journal of Solids and Structures, 290, Article 112642. https://doi.org/10.1016/j.ijsolstr.2023.112642 bibtex: '@article{Lenz_Mahnken_2024, title={Multiscale simulation of polymer curing of composites combined mean-field homogenisation methods at large strains}, volume={290}, DOI={10.1016/j.ijsolstr.2023.112642}, number={112642}, journal={International Journal of Solids and Structures}, publisher={Elsevier BV}, author={Lenz, Peter and Mahnken, Rolf}, year={2024} }' chicago: Lenz, Peter, and Rolf Mahnken. “Multiscale Simulation of Polymer Curing of Composites Combined Mean-Field Homogenisation Methods at Large Strains.” International Journal of Solids and Structures 290 (2024). https://doi.org/10.1016/j.ijsolstr.2023.112642. ieee: 'P. Lenz and R. Mahnken, “Multiscale simulation of polymer curing of composites combined mean-field homogenisation methods at large strains,” International Journal of Solids and Structures, vol. 290, Art. no. 112642, 2024, doi: 10.1016/j.ijsolstr.2023.112642.' mla: Lenz, Peter, and Rolf Mahnken. “Multiscale Simulation of Polymer Curing of Composites Combined Mean-Field Homogenisation Methods at Large Strains.” International Journal of Solids and Structures, vol. 290, 112642, Elsevier BV, 2024, doi:10.1016/j.ijsolstr.2023.112642. short: P. Lenz, R. Mahnken, International Journal of Solids and Structures 290 (2024). date_created: 2024-02-29T13:57:56Z date_updated: 2024-02-29T13:58:14Z department: - _id: '9' - _id: '154' - _id: '321' doi: 10.1016/j.ijsolstr.2023.112642 intvolume: ' 290' keyword: - Applied Mathematics - Mechanical Engineering - Mechanics of Materials - Condensed Matter Physics - General Materials Science - Modeling and Simulation language: - iso: eng publication: International Journal of Solids and Structures publication_identifier: issn: - 0020-7683 publication_status: published publisher: Elsevier BV quality_controlled: '1' status: public title: Multiscale simulation of polymer curing of composites combined mean-field homogenisation methods at large strains type: journal_article user_id: '335' volume: 290 year: '2024' ... --- _id: '52233' abstract: - lang: eng text: ELDIRK methods are defined to have an Explicit Last stage in the general Butcher array of Diagonal Implicit Runge-Kutta methods, with the consequence, that no additional system of equations must be solved, compared to the embedded RK method. Two general formulations for second- and third-order ELDIRK methods have been obtained recently in Mahnken [21] with specific schemes, e.g. for the embedded implicit Euler method, the embedded trapezoidal-rule and the embedded Ellsiepen method. In the first part of this paper, we investigate some general stability characteristics of ELDIRK methods, and it will be shown that the above specific RK schemes are not A-stable. Therefore, in the second part, the above-mentioned general formulations are used for further stability investigations, with the aim to construct new second- and third-order ELDIRK methods which simultaneously are A-stable. Two numerical examples are concerned with the curing for a thermosetting material and phase-field RVE modeling for crystallinity and orientation. The numerical results confirm the theoretical results on convergence order and stability. author: - first_name: Rolf full_name: Mahnken, Rolf id: '335' last_name: Mahnken - first_name: Hendrik full_name: Westermann, Hendrik id: '60816' last_name: Westermann orcid: 0000-0002-5034-9708 citation: ama: Mahnken R, Westermann H. Construction of A-stable explicit last-stage diagonal implicit Runge–Kutta (ELDIRK) methods. Computational Mechanics. Published online 2024. doi:10.1007/s00466-024-02442-y apa: Mahnken, R., & Westermann, H. (2024). Construction of A-stable explicit last-stage diagonal implicit Runge–Kutta (ELDIRK) methods. Computational Mechanics. https://doi.org/10.1007/s00466-024-02442-y bibtex: '@article{Mahnken_Westermann_2024, title={Construction of A-stable explicit last-stage diagonal implicit Runge–Kutta (ELDIRK) methods}, DOI={10.1007/s00466-024-02442-y}, journal={Computational Mechanics}, publisher={Springer Science and Business Media LLC}, author={Mahnken, Rolf and Westermann, Hendrik}, year={2024} }' chicago: Mahnken, Rolf, and Hendrik Westermann. “Construction of A-Stable Explicit Last-Stage Diagonal Implicit Runge–Kutta (ELDIRK) Methods.” Computational Mechanics, 2024. https://doi.org/10.1007/s00466-024-02442-y. ieee: 'R. Mahnken and H. Westermann, “Construction of A-stable explicit last-stage diagonal implicit Runge–Kutta (ELDIRK) methods,” Computational Mechanics, 2024, doi: 10.1007/s00466-024-02442-y.' mla: Mahnken, Rolf, and Hendrik Westermann. “Construction of A-Stable Explicit Last-Stage Diagonal Implicit Runge–Kutta (ELDIRK) Methods.” Computational Mechanics, Springer Science and Business Media LLC, 2024, doi:10.1007/s00466-024-02442-y. short: R. Mahnken, H. Westermann, Computational Mechanics (2024). date_created: 2024-03-03T13:23:28Z date_updated: 2024-03-19T12:14:07Z department: - _id: '154' - _id: '321' doi: 10.1007/s00466-024-02442-y keyword: - Applied Mathematics - Computational Mathematics - Computational Theory and Mathematics - Mechanical Engineering - Ocean Engineering - Computational Mechanics language: - iso: eng publication: Computational Mechanics publication_identifier: issn: - 0178-7675 - 1432-0924 publication_status: published publisher: Springer Science and Business Media LLC quality_controlled: '1' status: public title: Construction of A-stable explicit last-stage diagonal implicit Runge–Kutta (ELDIRK) methods type: journal_article user_id: '335' year: '2024' ... --- _id: '42165' abstract: - lang: eng text: AbstractComposite materials, such as fiber reinforced polymers, become increasingly important due to their excellent mechanical and lightweight properties. In this respect, this paper reports the characterization of a unidirectional carbon fiber reinforced polymer composite material. Particularly, the mechanical behavior of the overall composite and of the individual constituents of the composite is investigated. To this end, tensile and shear tests are performed for the composite. As a result, statistics for five transversely isotropic material parameters can be established for the composite. For the description of the mechanical properties of the constituents, tensile tests for the carbon fiber as well as for the polymer matrix are carried out. In addition, the volume fraction of fibers in the matrix is determined experimentally using an ashing technique and Archimedes’ principle. For the Young’s modulus of the fiber, the Young’s modulus and transverse contraction of the matrix, as well as the volume fraction of the constituents, statistics can be concluded. The resulting mechanical properties on both scales are useful for the application and validation of different material models and homogenization methods. Finally, in order to validate the obtained properties in the future, inhomogeneous tests were performed, once a flat plate with a hole and a flat plate with semicircular notches. author: - first_name: Eduard full_name: Penner, Eduard last_name: Penner - first_name: Ismail full_name: Caylak, Ismail id: '75' last_name: Caylak - first_name: Rolf full_name: Mahnken, Rolf id: '335' last_name: Mahnken citation: ama: Penner E, Caylak I, Mahnken R. Experimental Investigations of Carbon Fiber Reinforced Polymer Composites and Their Constituents to Determine Their Elastic Material Properties and Complementary Inhomogeneous Experiments with Local Strain Considerations. Fibers and Polymers. Published online 2023. doi:10.1007/s12221-023-00122-x apa: Penner, E., Caylak, I., & Mahnken, R. (2023). Experimental Investigations of Carbon Fiber Reinforced Polymer Composites and Their Constituents to Determine Their Elastic Material Properties and Complementary Inhomogeneous Experiments with Local Strain Considerations. Fibers and Polymers. https://doi.org/10.1007/s12221-023-00122-x bibtex: '@article{Penner_Caylak_Mahnken_2023, title={Experimental Investigations of Carbon Fiber Reinforced Polymer Composites and Their Constituents to Determine Their Elastic Material Properties and Complementary Inhomogeneous Experiments with Local Strain Considerations}, DOI={10.1007/s12221-023-00122-x}, journal={Fibers and Polymers}, publisher={Springer Science and Business Media LLC}, author={Penner, Eduard and Caylak, Ismail and Mahnken, Rolf}, year={2023} }' chicago: Penner, Eduard, Ismail Caylak, and Rolf Mahnken. “Experimental Investigations of Carbon Fiber Reinforced Polymer Composites and Their Constituents to Determine Their Elastic Material Properties and Complementary Inhomogeneous Experiments with Local Strain Considerations.” Fibers and Polymers, 2023. https://doi.org/10.1007/s12221-023-00122-x. ieee: 'E. Penner, I. Caylak, and R. Mahnken, “Experimental Investigations of Carbon Fiber Reinforced Polymer Composites and Their Constituents to Determine Their Elastic Material Properties and Complementary Inhomogeneous Experiments with Local Strain Considerations,” Fibers and Polymers, 2023, doi: 10.1007/s12221-023-00122-x.' mla: Penner, Eduard, et al. “Experimental Investigations of Carbon Fiber Reinforced Polymer Composites and Their Constituents to Determine Their Elastic Material Properties and Complementary Inhomogeneous Experiments with Local Strain Considerations.” Fibers and Polymers, Springer Science and Business Media LLC, 2023, doi:10.1007/s12221-023-00122-x. short: E. Penner, I. Caylak, R. Mahnken, Fibers and Polymers (2023). date_created: 2023-02-16T12:37:11Z date_updated: 2023-03-24T08:42:33Z department: - _id: '9' - _id: '154' - _id: '321' doi: 10.1007/s12221-023-00122-x keyword: - Polymers and Plastics - General Chemical Engineering - General Chemistry language: - iso: eng publication: Fibers and Polymers publication_identifier: issn: - 1229-9197 - 1875-0052 publication_status: published publisher: Springer Science and Business Media LLC status: public title: Experimental Investigations of Carbon Fiber Reinforced Polymer Composites and Their Constituents to Determine Their Elastic Material Properties and Complementary Inhomogeneous Experiments with Local Strain Considerations type: journal_article user_id: '335' year: '2023' ... --- _id: '43095' article_number: '116911' author: - first_name: Peter full_name: Lenz, Peter last_name: Lenz - first_name: Rolf full_name: Mahnken, Rolf id: '335' last_name: Mahnken citation: ama: Lenz P, Mahnken R. Non-local integral-type damage combined to mean-field homogenization methods for composites and its parallel implementation. Composite Structures. Published online 2023. doi:10.1016/j.compstruct.2023.116911 apa: Lenz, P., & Mahnken, R. (2023). Non-local integral-type damage combined to mean-field homogenization methods for composites and its parallel implementation. Composite Structures, Article 116911. https://doi.org/10.1016/j.compstruct.2023.116911 bibtex: '@article{Lenz_Mahnken_2023, title={Non-local integral-type damage combined to mean-field homogenization methods for composites and its parallel implementation}, DOI={10.1016/j.compstruct.2023.116911}, number={116911}, journal={Composite Structures}, publisher={Elsevier BV}, author={Lenz, Peter and Mahnken, Rolf}, year={2023} }' chicago: Lenz, Peter, and Rolf Mahnken. “Non-Local Integral-Type Damage Combined to Mean-Field Homogenization Methods for Composites and Its Parallel Implementation.” Composite Structures, 2023. https://doi.org/10.1016/j.compstruct.2023.116911. ieee: 'P. Lenz and R. Mahnken, “Non-local integral-type damage combined to mean-field homogenization methods for composites and its parallel implementation,” Composite Structures, Art. no. 116911, 2023, doi: 10.1016/j.compstruct.2023.116911.' mla: Lenz, Peter, and Rolf Mahnken. “Non-Local Integral-Type Damage Combined to Mean-Field Homogenization Methods for Composites and Its Parallel Implementation.” Composite Structures, 116911, Elsevier BV, 2023, doi:10.1016/j.compstruct.2023.116911. short: P. Lenz, R. Mahnken, Composite Structures (2023). date_created: 2023-03-24T08:35:59Z date_updated: 2023-03-24T08:45:42Z department: - _id: '9' - _id: '154' - _id: '321' doi: 10.1016/j.compstruct.2023.116911 keyword: - Civil and Structural Engineering - Ceramics and Composites language: - iso: eng publication: Composite Structures publication_identifier: issn: - 0263-8223 publication_status: published publisher: Elsevier BV status: public title: Non-local integral-type damage combined to mean-field homogenization methods for composites and its parallel implementation type: journal_article user_id: '335' year: '2023' ... --- _id: '44888' author: - first_name: Peter full_name: Lenz, Peter last_name: Lenz - first_name: Rolf full_name: Mahnken, Rolf id: '335' last_name: Mahnken citation: ama: Lenz P, Mahnken R. Thermo‐chemo‐mechanical modelling of a curing process combined with mean‐field homogenization methods at large strains. PAMM. 2023;22(1). doi:10.1002/pamm.202200214 apa: Lenz, P., & Mahnken, R. (2023). Thermo‐chemo‐mechanical modelling of a curing process combined with mean‐field homogenization methods at large strains. PAMM, 22(1). https://doi.org/10.1002/pamm.202200214 bibtex: '@article{Lenz_Mahnken_2023, title={Thermo‐chemo‐mechanical modelling of a curing process combined with mean‐field homogenization methods at large strains}, volume={22}, DOI={10.1002/pamm.202200214}, number={1}, journal={PAMM}, publisher={Wiley}, author={Lenz, Peter and Mahnken, Rolf}, year={2023} }' chicago: Lenz, Peter, and Rolf Mahnken. “Thermo‐chemo‐mechanical Modelling of a Curing Process Combined with Mean‐field Homogenization Methods at Large Strains.” PAMM 22, no. 1 (2023). https://doi.org/10.1002/pamm.202200214. ieee: 'P. Lenz and R. Mahnken, “Thermo‐chemo‐mechanical modelling of a curing process combined with mean‐field homogenization methods at large strains,” PAMM, vol. 22, no. 1, 2023, doi: 10.1002/pamm.202200214.' mla: Lenz, Peter, and Rolf Mahnken. “Thermo‐chemo‐mechanical Modelling of a Curing Process Combined with Mean‐field Homogenization Methods at Large Strains.” PAMM, vol. 22, no. 1, Wiley, 2023, doi:10.1002/pamm.202200214. short: P. Lenz, R. Mahnken, PAMM 22 (2023). date_created: 2023-05-16T12:15:44Z date_updated: 2023-05-16T12:17:50Z department: - _id: '9' - _id: '154' - _id: '321' doi: 10.1002/pamm.202200214 intvolume: ' 22' issue: '1' keyword: - Electrical and Electronic Engineering - Atomic and Molecular Physics - and Optics language: - iso: eng publication: PAMM publication_identifier: issn: - 1617-7061 - 1617-7061 publication_status: published publisher: Wiley quality_controlled: '1' status: public title: Thermo‐chemo‐mechanical modelling of a curing process combined with mean‐field homogenization methods at large strains type: journal_article user_id: '335' volume: 22 year: '2023' ... --- _id: '44887' author: - first_name: Chun full_name: Cheng, Chun last_name: Cheng - first_name: Chunlei full_name: Song, Chunlei last_name: Song - first_name: Rolf full_name: Mahnken, Rolf id: '335' last_name: Mahnken - first_name: Zhipeng full_name: Yuan, Zhipeng last_name: Yuan - first_name: Liang full_name: Yu, Liang last_name: Yu - first_name: Xiaozhe full_name: Ju, Xiaozhe last_name: Ju citation: ama: Cheng C, Song C, Mahnken R, Yuan Z, Yu L, Ju X. A Non-Linear Mean-Field Debonding Model at Large Strains for the Analysis of Fibre Kinking in Ud Composites. Published online 2023. apa: Cheng, C., Song, C., Mahnken, R., Yuan, Z., Yu, L., & Ju, X. (2023). A Non-Linear Mean-Field Debonding Model at Large Strains for the Analysis of Fibre Kinking in Ud Composites. Elsevier BV. bibtex: '@article{Cheng_Song_Mahnken_Yuan_Yu_Ju_2023, title={A Non-Linear Mean-Field Debonding Model at Large Strains for the Analysis of Fibre Kinking in Ud Composites}, publisher={Elsevier BV}, author={Cheng, Chun and Song, Chunlei and Mahnken, Rolf and Yuan, Zhipeng and Yu, Liang and Ju, Xiaozhe}, year={2023} }' chicago: Cheng, Chun, Chunlei Song, Rolf Mahnken, Zhipeng Yuan, Liang Yu, and Xiaozhe Ju. “A Non-Linear Mean-Field Debonding Model at Large Strains for the Analysis of Fibre Kinking in Ud Composites.” Elsevier BV, 2023. ieee: C. Cheng, C. Song, R. Mahnken, Z. Yuan, L. Yu, and X. Ju, “A Non-Linear Mean-Field Debonding Model at Large Strains for the Analysis of Fibre Kinking in Ud Composites.” Elsevier BV, 2023. mla: Cheng, Chun, et al. A Non-Linear Mean-Field Debonding Model at Large Strains for the Analysis of Fibre Kinking in Ud Composites. Elsevier BV, 2023. short: C. Cheng, C. Song, R. Mahnken, Z. Yuan, L. Yu, X. Ju, (2023). date_created: 2023-05-16T12:10:06Z date_updated: 2023-05-16T12:17:43Z department: - _id: '9' - _id: '154' - _id: '321' language: - iso: eng publication_status: published publisher: Elsevier BV status: public title: A Non-Linear Mean-Field Debonding Model at Large Strains for the Analysis of Fibre Kinking in Ud Composites type: preprint user_id: '335' year: '2023' ... --- _id: '44891' author: - first_name: Hendrik full_name: Westermann, Hendrik id: '60816' last_name: Westermann orcid: 0000-0002-5034-9708 - first_name: Rolf full_name: Mahnken, Rolf id: '335' last_name: Mahnken citation: ama: Westermann H, Mahnken R. A thermodynamic framework for the phase‐field approach considering carbide precipitation during phase transformations. PAMM. 2023;22(1). doi:10.1002/pamm.202200080 apa: Westermann, H., & Mahnken, R. (2023). A thermodynamic framework for the phase‐field approach considering carbide precipitation during phase transformations. PAMM, 22(1). https://doi.org/10.1002/pamm.202200080 bibtex: '@article{Westermann_Mahnken_2023, title={A thermodynamic framework for the phase‐field approach considering carbide precipitation during phase transformations}, volume={22}, DOI={10.1002/pamm.202200080}, number={1}, journal={PAMM}, publisher={Wiley}, author={Westermann, Hendrik and Mahnken, Rolf}, year={2023} }' chicago: Westermann, Hendrik, and Rolf Mahnken. “A Thermodynamic Framework for the Phase‐field Approach Considering Carbide Precipitation during Phase Transformations.” PAMM 22, no. 1 (2023). https://doi.org/10.1002/pamm.202200080. ieee: 'H. Westermann and R. Mahnken, “A thermodynamic framework for the phase‐field approach considering carbide precipitation during phase transformations,” PAMM, vol. 22, no. 1, 2023, doi: 10.1002/pamm.202200080.' mla: Westermann, Hendrik, and Rolf Mahnken. “A Thermodynamic Framework for the Phase‐field Approach Considering Carbide Precipitation during Phase Transformations.” PAMM, vol. 22, no. 1, Wiley, 2023, doi:10.1002/pamm.202200080. short: H. Westermann, R. Mahnken, PAMM 22 (2023). date_created: 2023-05-16T12:20:19Z date_updated: 2023-05-16T12:21:15Z department: - _id: '9' - _id: '154' - _id: '321' doi: 10.1002/pamm.202200080 intvolume: ' 22' issue: '1' keyword: - Electrical and Electronic Engineering - Atomic and Molecular Physics - and Optics language: - iso: eng publication: PAMM publication_identifier: issn: - 1617-7061 - 1617-7061 publication_status: published publisher: Wiley quality_controlled: '1' status: public title: A thermodynamic framework for the phase‐field approach considering carbide precipitation during phase transformations type: journal_article user_id: '335' volume: 22 year: '2023' ... --- _id: '44892' author: - first_name: Ayoub full_name: Hamdoun, Ayoub last_name: Hamdoun - first_name: Rolf full_name: Mahnken, Rolf id: '335' last_name: Mahnken citation: ama: Hamdoun A, Mahnken R. A finite strain gradient theory for viscoplasticity by means of micromorphic regularization. PAMM. 2023;22(1). doi:10.1002/pamm.202200074 apa: Hamdoun, A., & Mahnken, R. (2023). A finite strain gradient theory for viscoplasticity by means of micromorphic regularization. PAMM, 22(1). https://doi.org/10.1002/pamm.202200074 bibtex: '@article{Hamdoun_Mahnken_2023, title={A finite strain gradient theory for viscoplasticity by means of micromorphic regularization}, volume={22}, DOI={10.1002/pamm.202200074}, number={1}, journal={PAMM}, publisher={Wiley}, author={Hamdoun, Ayoub and Mahnken, Rolf}, year={2023} }' chicago: Hamdoun, Ayoub, and Rolf Mahnken. “A Finite Strain Gradient Theory for Viscoplasticity by Means of Micromorphic Regularization.” PAMM 22, no. 1 (2023). https://doi.org/10.1002/pamm.202200074. ieee: 'A. Hamdoun and R. Mahnken, “A finite strain gradient theory for viscoplasticity by means of micromorphic regularization,” PAMM, vol. 22, no. 1, 2023, doi: 10.1002/pamm.202200074.' mla: Hamdoun, Ayoub, and Rolf Mahnken. “A Finite Strain Gradient Theory for Viscoplasticity by Means of Micromorphic Regularization.” PAMM, vol. 22, no. 1, Wiley, 2023, doi:10.1002/pamm.202200074. short: A. Hamdoun, R. Mahnken, PAMM 22 (2023). date_created: 2023-05-16T12:21:32Z date_updated: 2023-05-16T12:23:15Z department: - _id: '9' - _id: '154' - _id: '321' doi: 10.1002/pamm.202200074 intvolume: ' 22' issue: '1' keyword: - Electrical and Electronic Engineering - Atomic and Molecular Physics - and Optics language: - iso: eng publication: PAMM publication_identifier: issn: - 1617-7061 - 1617-7061 publication_status: published publisher: Wiley quality_controlled: '1' status: public title: A finite strain gradient theory for viscoplasticity by means of micromorphic regularization type: journal_article user_id: '335' volume: 22 year: '2023' ... --- _id: '44890' author: - first_name: Arnold full_name: Tchomgue Simeu, Arnold id: '83075' last_name: Tchomgue Simeu - first_name: Rolf full_name: Mahnken, Rolf id: '335' last_name: Mahnken citation: ama: Tchomgue Simeu A, Mahnken R. Goal‐oriented adaptivity based on a model hierarchy of mean‐field and full‐field homogenization methods in elasto‐plasticity. PAMM. 2023;22(1). doi:10.1002/pamm.202200053 apa: Tchomgue Simeu, A., & Mahnken, R. (2023). Goal‐oriented adaptivity based on a model hierarchy of mean‐field and full‐field homogenization methods in elasto‐plasticity. PAMM, 22(1). https://doi.org/10.1002/pamm.202200053 bibtex: '@article{Tchomgue Simeu_Mahnken_2023, title={Goal‐oriented adaptivity based on a model hierarchy of mean‐field and full‐field homogenization methods in elasto‐plasticity}, volume={22}, DOI={10.1002/pamm.202200053}, number={1}, journal={PAMM}, publisher={Wiley}, author={Tchomgue Simeu, Arnold and Mahnken, Rolf}, year={2023} }' chicago: Tchomgue Simeu, Arnold, and Rolf Mahnken. “Goal‐oriented Adaptivity Based on a Model Hierarchy of Mean‐field and Full‐field Homogenization Methods in Elasto‐plasticity.” PAMM 22, no. 1 (2023). https://doi.org/10.1002/pamm.202200053. ieee: 'A. Tchomgue Simeu and R. Mahnken, “Goal‐oriented adaptivity based on a model hierarchy of mean‐field and full‐field homogenization methods in elasto‐plasticity,” PAMM, vol. 22, no. 1, 2023, doi: 10.1002/pamm.202200053.' mla: Tchomgue Simeu, Arnold, and Rolf Mahnken. “Goal‐oriented Adaptivity Based on a Model Hierarchy of Mean‐field and Full‐field Homogenization Methods in Elasto‐plasticity.” PAMM, vol. 22, no. 1, Wiley, 2023, doi:10.1002/pamm.202200053. short: A. Tchomgue Simeu, R. Mahnken, PAMM 22 (2023). date_created: 2023-05-16T12:18:15Z date_updated: 2023-05-25T10:02:34Z department: - _id: '9' - _id: '154' - _id: '321' doi: 10.1002/pamm.202200053 intvolume: ' 22' issue: '1' keyword: - Electrical and Electronic Engineering - Atomic and Molecular Physics - and Optics language: - iso: eng publication: PAMM publication_identifier: issn: - 1617-7061 - 1617-7061 publication_status: published publisher: Wiley quality_controlled: '1' status: public title: Goal‐oriented adaptivity based on a model hierarchy of mean‐field and full‐field homogenization methods in elasto‐plasticity type: journal_article user_id: '335' volume: 22 year: '2023' ... --- _id: '45757' abstract: - lang: eng text: "AbstractThree prominent low order implicit time integration schemes are the first order implicit Euler-method, the second order trapezoidal rule and the second order Ellsiepen method. Its advantages are stability and comparatively low computational cost, however, they require the solution of a nonlinear system of equations. This paper presents a general approach for the construction of third order Runge–Kutta methods by embedding the above mentioned implicit schemes into the class of ELDIRK-methods. These will be defined to have an Explicit Last stage in the general Butcher array of Diagonal Implicit Runge–Kutta (DIRK) methods, with the consequence, that no additional system of equations must be solved. The main results—valid also for non-linear ordinary differential equations—are as follows: Two extra function calculations are required in order to embed the implicit Euler-method and one extra function calculation is required for the trapezoidal-rule and the Ellsiepen method, in order to obtain the third order properties, respectively. Two numerical examples are concerned with a parachute with viscous damping and a two-dimensional laser beam simulation. Here, we verify the higher order convergence behaviours of the proposed new ELDIRK-methods, and its successful performances for asymptotically exact global error estimation of so-called reversed embedded RK-method are shown.\r\n" author: - first_name: Rolf full_name: Mahnken, Rolf id: '335' last_name: Mahnken citation: ama: Mahnken R. Derivation of third order Runge–Kutta methods (ELDIRK) by embedding of lower order implicit time integration schemes for local and global error estimation. Computational Mechanics. Published online 2023. doi:10.1007/s00466-023-02347-2 apa: Mahnken, R. (2023). Derivation of third order Runge–Kutta methods (ELDIRK) by embedding of lower order implicit time integration schemes for local and global error estimation. Computational Mechanics. https://doi.org/10.1007/s00466-023-02347-2 bibtex: '@article{Mahnken_2023, title={Derivation of third order Runge–Kutta methods (ELDIRK) by embedding of lower order implicit time integration schemes for local and global error estimation}, DOI={10.1007/s00466-023-02347-2}, journal={Computational Mechanics}, publisher={Springer Science and Business Media LLC}, author={Mahnken, Rolf}, year={2023} }' chicago: Mahnken, Rolf. “Derivation of Third Order Runge–Kutta Methods (ELDIRK) by Embedding of Lower Order Implicit Time Integration Schemes for Local and Global Error Estimation.” Computational Mechanics, 2023. https://doi.org/10.1007/s00466-023-02347-2. ieee: 'R. Mahnken, “Derivation of third order Runge–Kutta methods (ELDIRK) by embedding of lower order implicit time integration schemes for local and global error estimation,” Computational Mechanics, 2023, doi: 10.1007/s00466-023-02347-2.' mla: Mahnken, Rolf. “Derivation of Third Order Runge–Kutta Methods (ELDIRK) by Embedding of Lower Order Implicit Time Integration Schemes for Local and Global Error Estimation.” Computational Mechanics, Springer Science and Business Media LLC, 2023, doi:10.1007/s00466-023-02347-2. short: R. Mahnken, Computational Mechanics (2023). date_created: 2023-06-23T06:47:36Z date_updated: 2023-06-23T06:48:42Z department: - _id: '9' - _id: '154' - _id: '321' doi: 10.1007/s00466-023-02347-2 keyword: - Applied Mathematics - Computational Mathematics - Computational Theory and Mathematics - Mechanical Engineering - Ocean Engineering - Computational Mechanics language: - iso: eng publication: Computational Mechanics publication_identifier: issn: - 0178-7675 - 1432-0924 publication_status: published publisher: Springer Science and Business Media LLC quality_controlled: '1' status: public title: Derivation of third order Runge–Kutta methods (ELDIRK) by embedding of lower order implicit time integration schemes for local and global error estimation type: journal_article user_id: '335' year: '2023' ... --- _id: '46762' author: - first_name: Arnold full_name: Tchomgue Simeu, Arnold id: '83075' last_name: Tchomgue Simeu - first_name: Rolf full_name: Mahnken, Rolf id: '335' last_name: Mahnken citation: ama: 'Tchomgue Simeu A, Mahnken R. Mesh- and model adaptivity for elasto-plastic mean-field and full-field homogenization based on downwind  and upwind approximations. In: XI International Conference on Adaptive Modeling and Simulation. CIMNE; 2023. doi:10.23967/admos.2023.054' apa: Tchomgue Simeu, A., & Mahnken, R. (2023). Mesh- and model adaptivity for elasto-plastic mean-field and full-field homogenization based on downwind  and upwind approximations. XI International Conference on Adaptive Modeling and Simulation. https://doi.org/10.23967/admos.2023.054 bibtex: '@inproceedings{Tchomgue Simeu_Mahnken_2023, title={Mesh- and model adaptivity for elasto-plastic mean-field and full-field homogenization based on downwind  and upwind approximations}, DOI={10.23967/admos.2023.054}, booktitle={XI International Conference on Adaptive Modeling and Simulation}, publisher={CIMNE}, author={Tchomgue Simeu, Arnold and Mahnken, Rolf}, year={2023} }' chicago: Tchomgue Simeu, Arnold, and Rolf Mahnken. “Mesh- and Model Adaptivity for Elasto-Plastic Mean-Field and Full-Field Homogenization Based on Downwind  and Upwind Approximations.” In XI International Conference on Adaptive Modeling and Simulation. CIMNE, 2023. https://doi.org/10.23967/admos.2023.054. ieee: 'A. Tchomgue Simeu and R. Mahnken, “Mesh- and model adaptivity for elasto-plastic mean-field and full-field homogenization based on downwind  and upwind approximations,” 2023, doi: 10.23967/admos.2023.054.' mla: Tchomgue Simeu, Arnold, and Rolf Mahnken. “Mesh- and Model Adaptivity for Elasto-Plastic Mean-Field and Full-Field Homogenization Based on Downwind  and Upwind Approximations.” XI International Conference on Adaptive Modeling and Simulation, CIMNE, 2023, doi:10.23967/admos.2023.054. short: 'A. Tchomgue Simeu, R. Mahnken, in: XI International Conference on Adaptive Modeling and Simulation, CIMNE, 2023.' date_created: 2023-09-01T07:52:20Z date_updated: 2023-09-01T07:54:31Z department: - _id: '9' - _id: '154' - _id: '321' doi: 10.23967/admos.2023.054 language: - iso: eng publication: XI International Conference on Adaptive Modeling and Simulation publication_status: published publisher: CIMNE quality_controlled: '1' status: public title: Mesh- and model adaptivity for elasto-plastic mean-field and full-field homogenization based on downwind and upwind approximations type: conference user_id: '335' year: '2023' ... --- _id: '48464' abstract: - lang: eng text: AbstractInitial value problems can be solved efficiently by means of Runge–Kutta algorithms with adaptive step size control. Diagonally implicit Runge–Kutta (DIRK) methods are the most popular class among the diverse family of Runge–Kutta algorithms. In this paper, the novel class of low‐order explicit last‐stage diagonally implicit Runge–Kutta (ELDIRK) methods are explored, which combine implicit schemes with an additional explicit evaluation as an explicit last stage. ELDIRK Butcher tableaus are used to control embedded RK methods to obtain solutions of different orders. The lower‐order solution is obtained by classical implicit RK stages and the higher‐order solution is obtained by additional explicit evaluation. As a result, a significant reduction in computational cost is achieved by skipping the iterative solution of nonlinear systems for the additional step. The examination of the heat problem and the use of the innovative Butcher tableau in the finite‐element method are the main contributions of this work. Thus, it is possible to establish adaptive step size control for the new low‐order embedded methods based on an empirical method for error estimation. Two‐dimensional simulations are used to show an appropriate algorithm for the ELDIRK schemes. The new Runge–Kutta schemes' predictions of higher‐order convergence are confirmed, and their successful outcomes are illustrated. author: - first_name: Hendrik full_name: Westermann, Hendrik id: '60816' last_name: Westermann orcid: 0000-0002-5034-9708 - first_name: Rolf full_name: Mahnken, Rolf id: '335' last_name: Mahnken citation: ama: Westermann H, Mahnken R. Numerical investigations of new low‐order explicit last stage diagonal implicit Runge–Kutta schemes with the finite‐element method. PAMM. 2023;23(2). doi:10.1002/pamm.202300071 apa: Westermann, H., & Mahnken, R. (2023). Numerical investigations of new low‐order explicit last stage diagonal implicit Runge–Kutta schemes with the finite‐element method. PAMM, 23(2). https://doi.org/10.1002/pamm.202300071 bibtex: '@article{Westermann_Mahnken_2023, title={Numerical investigations of new low‐order explicit last stage diagonal implicit Runge–Kutta schemes with the finite‐element method}, volume={23}, DOI={10.1002/pamm.202300071}, number={2}, journal={PAMM}, publisher={Wiley}, author={Westermann, Hendrik and Mahnken, Rolf}, year={2023} }' chicago: Westermann, Hendrik, and Rolf Mahnken. “Numerical Investigations of New Low‐order Explicit Last Stage Diagonal Implicit Runge–Kutta Schemes with the Finite‐element Method.” PAMM 23, no. 2 (2023). https://doi.org/10.1002/pamm.202300071. ieee: 'H. Westermann and R. Mahnken, “Numerical investigations of new low‐order explicit last stage diagonal implicit Runge–Kutta schemes with the finite‐element method,” PAMM, vol. 23, no. 2, 2023, doi: 10.1002/pamm.202300071.' mla: Westermann, Hendrik, and Rolf Mahnken. “Numerical Investigations of New Low‐order Explicit Last Stage Diagonal Implicit Runge–Kutta Schemes with the Finite‐element Method.” PAMM, vol. 23, no. 2, Wiley, 2023, doi:10.1002/pamm.202300071. short: H. Westermann, R. Mahnken, PAMM 23 (2023). date_created: 2023-10-25T10:46:57Z date_updated: 2023-11-07T14:34:44Z department: - _id: '9' - _id: '154' - _id: '321' doi: 10.1002/pamm.202300071 intvolume: ' 23' issue: '2' keyword: - Electrical and Electronic Engineering - Atomic and Molecular Physics - and Optics language: - iso: eng publication: PAMM publication_identifier: issn: - 1617-7061 - 1617-7061 publication_status: published publisher: Wiley quality_controlled: '1' status: public title: Numerical investigations of new low‐order explicit last stage diagonal implicit Runge–Kutta schemes with the finite‐element method type: journal_article user_id: '335' volume: 23 year: '2023' ... --- _id: '48465' article_number: '116545' author: - first_name: Hendrik full_name: Westermann, Hendrik id: '60816' last_name: Westermann orcid: 0000-0002-5034-9708 - first_name: Rolf full_name: Mahnken, Rolf id: '335' last_name: Mahnken citation: ama: Westermann H, Mahnken R. On the accuracy, stability and computational efficiency of explicit last-stage diagonally implicit Runge–Kutta methods (ELDIRK) for the adaptive solution of phase-field problems. Computer Methods in Applied Mechanics and Engineering. 2023;418. doi:10.1016/j.cma.2023.116545 apa: Westermann, H., & Mahnken, R. (2023). On the accuracy, stability and computational efficiency of explicit last-stage diagonally implicit Runge–Kutta methods (ELDIRK) for the adaptive solution of phase-field problems. Computer Methods in Applied Mechanics and Engineering, 418, Article 116545. https://doi.org/10.1016/j.cma.2023.116545 bibtex: '@article{Westermann_Mahnken_2023, title={On the accuracy, stability and computational efficiency of explicit last-stage diagonally implicit Runge–Kutta methods (ELDIRK) for the adaptive solution of phase-field problems}, volume={418}, DOI={10.1016/j.cma.2023.116545}, number={116545}, journal={Computer Methods in Applied Mechanics and Engineering}, publisher={Elsevier BV}, author={Westermann, Hendrik and Mahnken, Rolf}, year={2023} }' chicago: Westermann, Hendrik, and Rolf Mahnken. “On the Accuracy, Stability and Computational Efficiency of Explicit Last-Stage Diagonally Implicit Runge–Kutta Methods (ELDIRK) for the Adaptive Solution of Phase-Field Problems.” Computer Methods in Applied Mechanics and Engineering 418 (2023). https://doi.org/10.1016/j.cma.2023.116545. ieee: 'H. Westermann and R. Mahnken, “On the accuracy, stability and computational efficiency of explicit last-stage diagonally implicit Runge–Kutta methods (ELDIRK) for the adaptive solution of phase-field problems,” Computer Methods in Applied Mechanics and Engineering, vol. 418, Art. no. 116545, 2023, doi: 10.1016/j.cma.2023.116545.' mla: Westermann, Hendrik, and Rolf Mahnken. “On the Accuracy, Stability and Computational Efficiency of Explicit Last-Stage Diagonally Implicit Runge–Kutta Methods (ELDIRK) for the Adaptive Solution of Phase-Field Problems.” Computer Methods in Applied Mechanics and Engineering, vol. 418, 116545, Elsevier BV, 2023, doi:10.1016/j.cma.2023.116545. short: H. Westermann, R. Mahnken, Computer Methods in Applied Mechanics and Engineering 418 (2023). date_created: 2023-10-25T10:47:23Z date_updated: 2023-11-07T14:34:56Z department: - _id: '9' - _id: '154' - _id: '321' doi: 10.1016/j.cma.2023.116545 intvolume: ' 418' keyword: - Computer Science Applications - General Physics and Astronomy - Mechanical Engineering - Mechanics of Materials - Computational Mechanics language: - iso: eng publication: Computer Methods in Applied Mechanics and Engineering publication_identifier: issn: - 0045-7825 publication_status: published publisher: Elsevier BV quality_controlled: '1' status: public title: On the accuracy, stability and computational efficiency of explicit last-stage diagonally implicit Runge–Kutta methods (ELDIRK) for the adaptive solution of phase-field problems type: journal_article user_id: '335' volume: 418 year: '2023' ... --- _id: '48673' article_number: '107160' author: - first_name: Peter full_name: Lenz, Peter last_name: Lenz - first_name: Phil full_name: Kreutzheide, Phil last_name: Kreutzheide - first_name: Rolf full_name: Mahnken, Rolf id: '335' last_name: Mahnken citation: ama: Lenz P, Kreutzheide P, Mahnken R. Multiphase elasto-plastic mean-field homogenisation and its consistent linearisation. Computers & Structures. 2023;290. doi:10.1016/j.compstruc.2023.107160 apa: Lenz, P., Kreutzheide, P., & Mahnken, R. (2023). Multiphase elasto-plastic mean-field homogenisation and its consistent linearisation. Computers & Structures, 290, Article 107160. https://doi.org/10.1016/j.compstruc.2023.107160 bibtex: '@article{Lenz_Kreutzheide_Mahnken_2023, title={Multiphase elasto-plastic mean-field homogenisation and its consistent linearisation}, volume={290}, DOI={10.1016/j.compstruc.2023.107160}, number={107160}, journal={Computers & Structures}, publisher={Elsevier BV}, author={Lenz, Peter and Kreutzheide, Phil and Mahnken, Rolf}, year={2023} }' chicago: Lenz, Peter, Phil Kreutzheide, and Rolf Mahnken. “Multiphase Elasto-Plastic Mean-Field Homogenisation and Its Consistent Linearisation.” Computers & Structures 290 (2023). https://doi.org/10.1016/j.compstruc.2023.107160. ieee: 'P. Lenz, P. Kreutzheide, and R. Mahnken, “Multiphase elasto-plastic mean-field homogenisation and its consistent linearisation,” Computers & Structures, vol. 290, Art. no. 107160, 2023, doi: 10.1016/j.compstruc.2023.107160.' mla: Lenz, Peter, et al. “Multiphase Elasto-Plastic Mean-Field Homogenisation and Its Consistent Linearisation.” Computers & Structures, vol. 290, 107160, Elsevier BV, 2023, doi:10.1016/j.compstruc.2023.107160. short: P. Lenz, P. Kreutzheide, R. Mahnken, Computers & Structures 290 (2023). date_created: 2023-11-07T14:33:33Z date_updated: 2023-11-07T14:35:05Z department: - _id: '9' - _id: '154' - _id: '321' doi: 10.1016/j.compstruc.2023.107160 intvolume: ' 290' keyword: - Computer Science Applications - Mechanical Engineering - General Materials Science - Modeling and Simulation - Civil and Structural Engineering language: - iso: eng publication: Computers & Structures publication_identifier: issn: - 0045-7949 publication_status: published publisher: Elsevier BV quality_controlled: '1' status: public title: Multiphase elasto-plastic mean-field homogenisation and its consistent linearisation type: journal_article user_id: '335' volume: 290 year: '2023' ... --- _id: '49866' abstract: - lang: eng text: AbstractThe use of heterogeneous materials, such as composites with Prandtl‐Reuss‐type material laws, has increased in industrial praxis, making finite element modeling with homogenization techniques a well‐accepted tool. These methods are particularly advantageous to account for microstructural mechanisms which can be related to nonlinearities and time‐dependency due to elasto‐plasticity behavior. However, their advantages are diminished by increasing computational demand. The present contribution deals with the balance of accuracy and numerical efficiency of nonlinear homogenization associated with a framework of goal‐oriented adaptivity, which takes into account error accumulation over time. To this end, model adaptivity of homogenization methods is coupled to mesh adaptivity on the macro scale. Our new proposed adaptive procedure is driven by a goal‐oriented a posteriori error estimator based on duality techniques using downwind and upwind approximations. Due to nonlinearities and time‐dependency of the plasticity, the estimation of error transport and error generation is obtained with a backward‐in‐time dual method despite a high demand on memory capacity. In this contribution, the dual problem is solved with a forward‐in‐time dual method that allows estimating the full error during the resolution of the primal problem without the need for extra memory capacity. Finally, a numerical example illustrates the effectiveness of the proposed adaptive approach. author: - first_name: Arnold full_name: Tchomgue Simeu, Arnold id: '83075' last_name: Tchomgue Simeu - first_name: Rolf full_name: Mahnken, Rolf id: '335' last_name: Mahnken citation: ama: Tchomgue Simeu A, Mahnken R. Downwind and upwind approximations for mesh and model adaptivity of elasto‐plastic composites. PAMM. Published online 2023. doi:10.1002/pamm.202300136 apa: Tchomgue Simeu, A., & Mahnken, R. (2023). Downwind and upwind approximations for mesh and model adaptivity of elasto‐plastic composites. PAMM. https://doi.org/10.1002/pamm.202300136 bibtex: '@article{Tchomgue Simeu_Mahnken_2023, title={Downwind and upwind approximations for mesh and model adaptivity of elasto‐plastic composites}, DOI={10.1002/pamm.202300136}, journal={PAMM}, publisher={Wiley}, author={Tchomgue Simeu, Arnold and Mahnken, Rolf}, year={2023} }' chicago: Tchomgue Simeu, Arnold, and Rolf Mahnken. “Downwind and Upwind Approximations for Mesh and Model Adaptivity of Elasto‐plastic Composites.” PAMM, 2023. https://doi.org/10.1002/pamm.202300136. ieee: 'A. Tchomgue Simeu and R. Mahnken, “Downwind and upwind approximations for mesh and model adaptivity of elasto‐plastic composites,” PAMM, 2023, doi: 10.1002/pamm.202300136.' mla: Tchomgue Simeu, Arnold, and Rolf Mahnken. “Downwind and Upwind Approximations for Mesh and Model Adaptivity of Elasto‐plastic Composites.” PAMM, Wiley, 2023, doi:10.1002/pamm.202300136. short: A. Tchomgue Simeu, R. Mahnken, PAMM (2023). date_created: 2023-12-19T12:20:05Z date_updated: 2023-12-19T12:20:51Z department: - _id: '9' - _id: '154' - _id: '321' doi: 10.1002/pamm.202300136 keyword: - Electrical and Electronic Engineering - Atomic and Molecular Physics - and Optics language: - iso: eng publication: PAMM publication_identifier: issn: - 1617-7061 - 1617-7061 publication_status: published publisher: Wiley quality_controlled: '1' status: public title: Downwind and upwind approximations for mesh and model adaptivity of elasto‐plastic composites type: journal_article user_id: '335' year: '2023' ... --- _id: '52219' abstract: - lang: eng text: AbstractCold‐box sand (CBS) belongs to the granular materials and consists of sand and a binder. The behavior of CBS is simulated with a micropolar model, whereby the additional degree of freedom of the model describes the rotation of the sand grains. The model is used to generate a shear band under pressure for three different meshes, where the force‐displacement curves of the three meshes converge so that no mesh dependence occurs. Another requirement of the model is the consideration of asymmetric behavior for compression and tension. Due to the additional degree of freedom the implicit implementation of the micropolar continuum is very time‐consuming. Therefore, an explicit implementation is considered as an alternative possibility. This paper compares the advantages and disadvantages of both methods and the results for both calculations. author: - first_name: Alexander full_name: Börger, Alexander last_name: Börger - first_name: Rolf full_name: Mahnken, Rolf id: '335' last_name: Mahnken citation: ama: Börger A, Mahnken R. A micropolar model accounting for asymmetric behavior of cold‐box sand in relation to tensile and compression tests. PAMM. Published online 2023. doi:10.1002/pamm.202300126 apa: Börger, A., & Mahnken, R. (2023). A micropolar model accounting for asymmetric behavior of cold‐box sand in relation to tensile and compression tests. PAMM. https://doi.org/10.1002/pamm.202300126 bibtex: '@article{Börger_Mahnken_2023, title={A micropolar model accounting for asymmetric behavior of cold‐box sand in relation to tensile and compression tests}, DOI={10.1002/pamm.202300126}, journal={PAMM}, publisher={Wiley}, author={Börger, Alexander and Mahnken, Rolf}, year={2023} }' chicago: Börger, Alexander, and Rolf Mahnken. “A Micropolar Model Accounting for Asymmetric Behavior of Cold‐box Sand in Relation to Tensile and Compression Tests.” PAMM, 2023. https://doi.org/10.1002/pamm.202300126. ieee: 'A. Börger and R. Mahnken, “A micropolar model accounting for asymmetric behavior of cold‐box sand in relation to tensile and compression tests,” PAMM, 2023, doi: 10.1002/pamm.202300126.' mla: Börger, Alexander, and Rolf Mahnken. “A Micropolar Model Accounting for Asymmetric Behavior of Cold‐box Sand in Relation to Tensile and Compression Tests.” PAMM, Wiley, 2023, doi:10.1002/pamm.202300126. short: A. Börger, R. Mahnken, PAMM (2023). date_created: 2024-02-29T13:59:12Z date_updated: 2024-02-29T13:59:31Z department: - _id: '9' - _id: '154' - _id: '321' doi: 10.1002/pamm.202300126 keyword: - Electrical and Electronic Engineering - Atomic and Molecular Physics - and Optics language: - iso: eng publication: PAMM publication_identifier: issn: - 1617-7061 - 1617-7061 publication_status: published publisher: Wiley quality_controlled: '1' status: public title: A micropolar model accounting for asymmetric behavior of cold‐box sand in relation to tensile and compression tests type: journal_article user_id: '335' year: '2023' ... --- _id: '52649' author: - first_name: Eduard full_name: Penner, Eduard last_name: Penner citation: ama: Penner E. Polymorphic Uncertainty in Constitutive Modeling of Polymer Composites at Different Scales. Shaker Verlag; 2023. doi:10.2370/9783844093322 apa: Penner, E. (2023). Polymorphic uncertainty in constitutive modeling of polymer composites at different scales. Shaker Verlag. https://doi.org/10.2370/9783844093322 bibtex: '@book{Penner_2023, title={Polymorphic uncertainty in constitutive modeling of polymer composites at different scales}, DOI={10.2370/9783844093322}, publisher={Shaker Verlag}, author={Penner, Eduard}, year={2023} }' chicago: Penner, Eduard. Polymorphic Uncertainty in Constitutive Modeling of Polymer Composites at Different Scales. Shaker Verlag, 2023. https://doi.org/10.2370/9783844093322. ieee: E. Penner, Polymorphic uncertainty in constitutive modeling of polymer composites at different scales. Shaker Verlag, 2023. mla: Penner, Eduard. Polymorphic Uncertainty in Constitutive Modeling of Polymer Composites at Different Scales. Shaker Verlag, 2023, doi:10.2370/9783844093322. short: E. Penner, Polymorphic Uncertainty in Constitutive Modeling of Polymer Composites at Different Scales, Shaker Verlag, 2023. date_created: 2024-03-19T12:59:06Z date_updated: 2024-03-19T12:59:12Z department: - _id: '9' - _id: '154' - _id: '321' doi: 10.2370/9783844093322 language: - iso: eng publication_identifier: unknown: - 978-3-8440-9332-2 publication_status: published publisher: Shaker Verlag status: public supervisor: - first_name: Rolf full_name: Mahnken, Rolf last_name: Mahnken title: Polymorphic uncertainty in constitutive modeling of polymer composites at different scales type: dissertation user_id: '335' year: '2023' ... --- _id: '31185' article_number: '115699' author: - first_name: Xiaozhe full_name: Ju, Xiaozhe last_name: Ju - first_name: Rolf full_name: Mahnken, Rolf id: '335' last_name: Mahnken - first_name: Yangjian full_name: Xu, Yangjian last_name: Xu - first_name: Lihua full_name: Liang, Lihua last_name: Liang - first_name: Chun full_name: Cheng, Chun last_name: Cheng - first_name: Wangmin full_name: Zhou, Wangmin last_name: Zhou citation: ama: Ju X, Mahnken R, Xu Y, Liang L, Cheng C, Zhou W. Multiscale analysis of composite structures with goal-oriented mesh adaptivity and reduced order homogenization. Composite Structures. Published online 2022. doi:10.1016/j.compstruct.2022.115699 apa: Ju, X., Mahnken, R., Xu, Y., Liang, L., Cheng, C., & Zhou, W. (2022). Multiscale analysis of composite structures with goal-oriented mesh adaptivity and reduced order homogenization. Composite Structures, Article 115699. https://doi.org/10.1016/j.compstruct.2022.115699 bibtex: '@article{Ju_Mahnken_Xu_Liang_Cheng_Zhou_2022, title={Multiscale analysis of composite structures with goal-oriented mesh adaptivity and reduced order homogenization}, DOI={10.1016/j.compstruct.2022.115699}, number={115699}, journal={Composite Structures}, publisher={Elsevier BV}, author={Ju, Xiaozhe and Mahnken, Rolf and Xu, Yangjian and Liang, Lihua and Cheng, Chun and Zhou, Wangmin}, year={2022} }' chicago: Ju, Xiaozhe, Rolf Mahnken, Yangjian Xu, Lihua Liang, Chun Cheng, and Wangmin Zhou. “Multiscale Analysis of Composite Structures with Goal-Oriented Mesh Adaptivity and Reduced Order Homogenization.” Composite Structures, 2022. https://doi.org/10.1016/j.compstruct.2022.115699. ieee: 'X. Ju, R. Mahnken, Y. Xu, L. Liang, C. Cheng, and W. Zhou, “Multiscale analysis of composite structures with goal-oriented mesh adaptivity and reduced order homogenization,” Composite Structures, Art. no. 115699, 2022, doi: 10.1016/j.compstruct.2022.115699.' mla: Ju, Xiaozhe, et al. “Multiscale Analysis of Composite Structures with Goal-Oriented Mesh Adaptivity and Reduced Order Homogenization.” Composite Structures, 115699, Elsevier BV, 2022, doi:10.1016/j.compstruct.2022.115699. short: X. Ju, R. Mahnken, Y. Xu, L. Liang, C. Cheng, W. Zhou, Composite Structures (2022). date_created: 2022-05-10T11:18:45Z date_updated: 2023-01-24T13:11:40Z department: - _id: '9' - _id: '154' - _id: '321' doi: 10.1016/j.compstruct.2022.115699 keyword: - Civil and Structural Engineering - Ceramics and Composites language: - iso: eng publication: Composite Structures publication_identifier: issn: - 0263-8223 publication_status: published publisher: Elsevier BV quality_controlled: '1' status: public title: Multiscale analysis of composite structures with goal-oriented mesh adaptivity and reduced order homogenization type: journal_article user_id: '335' year: '2022' ... --- _id: '30656' abstract: - lang: eng text: 'AbstractOptimized material parameters obtained from parameter identification for verification wrt a certain loading scenario are amenable to two deficiencies: Firstly, they may lack a general validity for different loading scenarios. Secondly, they may be prone to instability, such that a small perturbation of experimental data may ensue a large perturbation for the material parameters. This paper presents a framework for extension of hyperelastic models for rubber-like materials accounting for both deficiencies. To this end, an additive decomposition of the strain energy function is assumed into a sum of weighted strain mode related quantities. We propose a practical guide for model development accounting for the criteria of verification, validation and stability by means of the strain mode-dependent weighting functions and techniques of model reduction. The approach is successfully applied for 13 hyperelastic models with regard to the classical experimental data on vulcanized rubber published by Treloar (Trans Faraday Soc 40:59–70, 1944), showing both excellent fitting capabilties and stable material parameters.' author: - first_name: Rolf full_name: Mahnken, Rolf id: '335' last_name: Mahnken citation: ama: Mahnken R. Strain mode-dependent weighting functions in hyperelasticity accounting for verification, validation, and stability of material parameters. Archive of Applied Mechanics. 2022;92(3):713-754. doi:10.1007/s00419-021-02069-y apa: Mahnken, R. (2022). Strain mode-dependent weighting functions in hyperelasticity accounting for verification, validation, and stability of material parameters. Archive of Applied Mechanics, 92(3), 713–754. https://doi.org/10.1007/s00419-021-02069-y bibtex: '@article{Mahnken_2022, title={Strain mode-dependent weighting functions in hyperelasticity accounting for verification, validation, and stability of material parameters}, volume={92}, DOI={10.1007/s00419-021-02069-y}, number={3}, journal={Archive of Applied Mechanics}, publisher={Springer Science and Business Media LLC}, author={Mahnken, Rolf}, year={2022}, pages={713–754} }' chicago: 'Mahnken, Rolf. “Strain Mode-Dependent Weighting Functions in Hyperelasticity Accounting for Verification, Validation, and Stability of Material Parameters.” Archive of Applied Mechanics 92, no. 3 (2022): 713–54. https://doi.org/10.1007/s00419-021-02069-y.' ieee: 'R. Mahnken, “Strain mode-dependent weighting functions in hyperelasticity accounting for verification, validation, and stability of material parameters,” Archive of Applied Mechanics, vol. 92, no. 3, pp. 713–754, 2022, doi: 10.1007/s00419-021-02069-y.' mla: Mahnken, Rolf. “Strain Mode-Dependent Weighting Functions in Hyperelasticity Accounting for Verification, Validation, and Stability of Material Parameters.” Archive of Applied Mechanics, vol. 92, no. 3, Springer Science and Business Media LLC, 2022, pp. 713–54, doi:10.1007/s00419-021-02069-y. short: R. Mahnken, Archive of Applied Mechanics 92 (2022) 713–754. date_created: 2022-03-28T13:24:07Z date_updated: 2023-01-24T13:10:27Z department: - _id: '9' - _id: '154' - _id: '321' doi: 10.1007/s00419-021-02069-y intvolume: ' 92' issue: '3' keyword: - Mechanical Engineering language: - iso: eng page: 713-754 publication: Archive of Applied Mechanics publication_identifier: issn: - 0939-1533 - 1432-0681 publication_status: published publisher: Springer Science and Business Media LLC quality_controlled: '1' status: public title: Strain mode-dependent weighting functions in hyperelasticity accounting for verification, validation, and stability of material parameters type: journal_article user_id: '335' volume: 92 year: '2022' ...