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As a consequence, the temperature‐dependent free energy assigned to each individual phase takes the form of an elliptic paraboloid in volumetric‐deviatoric strain space, where the energy landscape of the overall material is obtained from the contributions of the individual constituents. For the evolution of volume fractions, we use an approach based on statistical physics–taking into account actual Gibbs energy barriers and transformation probabilities [2]. The computation of individual energy barriers between the phases considered is enabled by numerical minimization of parametric intersection curves of elliptic Gibbs energy paraboloids. (© 2012 Wiley‐VCH Verlag GmbH &amp; Co. KGaA, Weinheim)</jats:p>","lang":"eng"}],"publication":"PAMM","issue":"1","doi":"10.1002/pamm.201210129","language":[{"iso":"eng"}],"date_updated":"2025-12-03T13:18:42Z","publication_status":"published","intvolume":"        12","year":"2012","title":"Simulation of phase‐transformations based on numerical minimization of intersecting Gibbs energy potentials","author":[{"id":"106876","last_name":"Ostwald","first_name":"Richard","orcid":"0000-0003-2147-8444","full_name":"Ostwald, Richard"},{"last_name":"Bartel","first_name":"Thorsten","full_name":"Bartel, Thorsten"},{"full_name":"Menzel, Andreas","first_name":"Andreas","last_name":"Menzel"}],"publication_identifier":{"issn":["1617-7061","1617-7061"]},"quality_controlled":"1","citation":{"short":"R. Ostwald, T. Bartel, A. Menzel, PAMM 12 (2012) 277–278.","chicago":"Ostwald, Richard, Thorsten Bartel, and Andreas Menzel. “Simulation of Phase‐transformations Based on Numerical Minimization of Intersecting Gibbs Energy Potentials.” <i>PAMM</i> 12, no. 1 (2012): 277–78. <a href=\"https://doi.org/10.1002/pamm.201210129\">https://doi.org/10.1002/pamm.201210129</a>.","apa":"Ostwald, R., Bartel, T., &#38; Menzel, A. (2012). Simulation of phase‐transformations based on numerical minimization of intersecting Gibbs energy potentials. <i>PAMM</i>, <i>12</i>(1), 277–278. <a href=\"https://doi.org/10.1002/pamm.201210129\">https://doi.org/10.1002/pamm.201210129</a>","ieee":"R. Ostwald, T. Bartel, and A. Menzel, “Simulation of phase‐transformations based on numerical minimization of intersecting Gibbs energy potentials,” <i>PAMM</i>, vol. 12, no. 1, pp. 277–278, 2012, doi: <a href=\"https://doi.org/10.1002/pamm.201210129\">10.1002/pamm.201210129</a>.","ama":"Ostwald R, Bartel T, Menzel A. Simulation of phase‐transformations based on numerical minimization of intersecting Gibbs energy potentials. <i>PAMM</i>. 2012;12(1):277-278. doi:<a href=\"https://doi.org/10.1002/pamm.201210129\">10.1002/pamm.201210129</a>","bibtex":"@article{Ostwald_Bartel_Menzel_2012, title={Simulation of phase‐transformations based on numerical minimization of intersecting Gibbs energy potentials}, volume={12}, DOI={<a href=\"https://doi.org/10.1002/pamm.201210129\">10.1002/pamm.201210129</a>}, number={1}, journal={PAMM}, publisher={Wiley}, author={Ostwald, Richard and Bartel, Thorsten and Menzel, Andreas}, year={2012}, pages={277–278} }","mla":"Ostwald, Richard, et al. “Simulation of Phase‐transformations Based on Numerical Minimization of Intersecting Gibbs Energy Potentials.” <i>PAMM</i>, vol. 12, no. 1, Wiley, 2012, pp. 277–78, doi:<a href=\"https://doi.org/10.1002/pamm.201210129\">10.1002/pamm.201210129</a>."},"user_id":"85414","volume":12,"page":"277-278","_id":"62788","publisher":"Wiley","status":"public"},{"publication":"Computational Materials Science","department":[{"_id":"952"},{"_id":"321"}],"type":"journal_article","date_created":"2025-12-03T13:16:44Z","intvolume":"        64","publication_status":"published","date_updated":"2025-12-03T13:17:26Z","author":[{"full_name":"Ostwald, Richard","last_name":"Ostwald","first_name":"Richard","orcid":"0000-0003-2147-8444","id":"106876"},{"full_name":"Bartel, Thorsten","first_name":"Thorsten","last_name":"Bartel"},{"full_name":"Menzel, Andreas","last_name":"Menzel","first_name":"Andreas"}],"publication_identifier":{"issn":["0927-0256"]},"title":"Phase-transformations interacting with plasticity – A micro-sphere model applied to TRIP steel","year":"2012","doi":"10.1016/j.commatsci.2012.05.015","language":[{"iso":"eng"}],"quality_controlled":"1","citation":{"bibtex":"@article{Ostwald_Bartel_Menzel_2012, title={Phase-transformations interacting with plasticity – A micro-sphere model applied to TRIP steel}, volume={64}, DOI={<a href=\"https://doi.org/10.1016/j.commatsci.2012.05.015\">10.1016/j.commatsci.2012.05.015</a>}, journal={Computational Materials Science}, publisher={Elsevier BV}, author={Ostwald, Richard and Bartel, Thorsten and Menzel, Andreas}, year={2012}, pages={12–16} }","chicago":"Ostwald, Richard, Thorsten Bartel, and Andreas Menzel. “Phase-Transformations Interacting with Plasticity – A Micro-Sphere Model Applied to TRIP Steel.” <i>Computational Materials Science</i> 64 (2012): 12–16. <a href=\"https://doi.org/10.1016/j.commatsci.2012.05.015\">https://doi.org/10.1016/j.commatsci.2012.05.015</a>.","ama":"Ostwald R, Bartel T, Menzel A. Phase-transformations interacting with plasticity – A micro-sphere model applied to TRIP steel. <i>Computational Materials Science</i>. 2012;64:12-16. doi:<a href=\"https://doi.org/10.1016/j.commatsci.2012.05.015\">10.1016/j.commatsci.2012.05.015</a>","short":"R. Ostwald, T. Bartel, A. Menzel, Computational Materials Science 64 (2012) 12–16.","ieee":"R. Ostwald, T. Bartel, and A. Menzel, “Phase-transformations interacting with plasticity – A micro-sphere model applied to TRIP steel,” <i>Computational Materials Science</i>, vol. 64, pp. 12–16, 2012, doi: <a href=\"https://doi.org/10.1016/j.commatsci.2012.05.015\">10.1016/j.commatsci.2012.05.015</a>.","apa":"Ostwald, R., Bartel, T., &#38; Menzel, A. (2012). Phase-transformations interacting with plasticity – A micro-sphere model applied to TRIP steel. <i>Computational Materials Science</i>, <i>64</i>, 12–16. <a href=\"https://doi.org/10.1016/j.commatsci.2012.05.015\">https://doi.org/10.1016/j.commatsci.2012.05.015</a>","mla":"Ostwald, Richard, et al. “Phase-Transformations Interacting with Plasticity – A Micro-Sphere Model Applied to TRIP Steel.” <i>Computational Materials Science</i>, vol. 64, Elsevier BV, 2012, pp. 12–16, doi:<a href=\"https://doi.org/10.1016/j.commatsci.2012.05.015\">10.1016/j.commatsci.2012.05.015</a>."},"status":"public","volume":64,"user_id":"85414","_id":"62787","publisher":"Elsevier BV","page":"12-16"},{"extern":"1","citation":{"apa":"Schlüter, A., &#38; Rommel, B. (2012). Auf dem besten Weg zu neuen Lösungen: Kunststoffverarbeitung. In J. Hesselbach (Ed.), <i>Energie- und klimaeffiziente Produktion: Grundlagen, Leitlinien und Praxisbeispiele</i> (pp. 290–314). Springer Vieweg.","ieee":"A. Schlüter and B. 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Schäfer, J. Wagner, A. Schlüter, and J. Hesselbach, “Energy Flows in Industrial Buildings and Machines using the Example of a Node Model,” <i>SNE Simulation Notes Europe</i>, vol. 22, no. 1, pp. 1–6, 2012, doi: <a href=\"https://doi.org/10.11128/sne.22.tn.10103\">10.11128/sne.22.tn.10103</a>.","apa":"Schäfer, M., Wagner, J., Schlüter, A., &#38; Hesselbach, J. (2012). Energy Flows in Industrial Buildings and Machines using the Example of a Node Model. <i>SNE Simulation Notes Europe</i>, <i>22</i>(1), 1–6. <a href=\"https://doi.org/10.11128/sne.22.tn.10103\">https://doi.org/10.11128/sne.22.tn.10103</a>","short":"M. Schäfer, J. Wagner, A. Schlüter, J. Hesselbach, SNE Simulation Notes Europe 22 (2012) 1–6.","chicago":"Schäfer, Mirko, Johannes Wagner, Alexander Schlüter, and Jens Hesselbach. “Energy Flows in Industrial Buildings and Machines Using the Example of a Node Model.” <i>SNE Simulation Notes Europe</i> 22, no. 1 (2012): 1–6. <a href=\"https://doi.org/10.11128/sne.22.tn.10103\">https://doi.org/10.11128/sne.22.tn.10103</a>.","mla":"Schäfer, Mirko, et al. “Energy Flows in Industrial Buildings and Machines Using the Example of a Node Model.” <i>SNE Simulation Notes Europe</i>, vol. 22, no. 1, ARGESIM Arbeitsgemeinschaft Simulation News, 2012, pp. 1–6, doi:<a href=\"https://doi.org/10.11128/sne.22.tn.10103\">10.11128/sne.22.tn.10103</a>.","bibtex":"@article{Schäfer_Wagner_Schlüter_Hesselbach_2012, title={Energy Flows in Industrial Buildings and Machines using the Example of a Node Model}, volume={22}, DOI={<a href=\"https://doi.org/10.11128/sne.22.tn.10103\">10.11128/sne.22.tn.10103</a>}, number={1}, journal={SNE Simulation Notes Europe}, publisher={ARGESIM Arbeitsgemeinschaft Simulation News}, author={Schäfer, Mirko and Wagner, Johannes and Schlüter, Alexander and Hesselbach, Jens}, year={2012}, pages={1–6} }","ama":"Schäfer M, Wagner J, Schlüter A, Hesselbach J. Energy Flows in Industrial Buildings and Machines using the Example of a Node Model. <i>SNE Simulation Notes Europe</i>. 2012;22(1):1-6. doi:<a href=\"https://doi.org/10.11128/sne.22.tn.10103\">10.11128/sne.22.tn.10103</a>"},"quality_controlled":"1"},{"type":"conference","department":[{"_id":"9"},{"_id":"876"},{"_id":"321"}],"date_created":"2024-03-01T09:45:45Z","extern":"1","citation":{"short":"A. Schlüter, M. Rosano, S. Böhm, N. Calisir, J. Hesselbach, in: 2012.","chicago":"Schlüter, Alexander, Michele Rosano, Stefan Böhm, Necat Calisir, and Jens Hesselbach. “Effects of Implementing Efficiency Techniques in the Plastics Industry in Germany and Western Australia – A Comparative Modelling Assessment,” 2012.","apa":"Schlüter, A., Rosano, M., Böhm, S., Calisir, N., &#38; Hesselbach, J. (2012). <i>Effects of Implementing Efficiency Techniques in the Plastics Industry in Germany and Western Australia – A Comparative Modelling Assessment</i>. Proceedings: 10th Global Conference on Sustainable Manufacturing, Istanbul, Turkey.","ieee":"A. Schlüter, M. Rosano, S. Böhm, N. Calisir, and J. Hesselbach, “Effects of Implementing Efficiency Techniques in the Plastics Industry in Germany and Western Australia – A Comparative Modelling Assessment,” presented at the Proceedings: 10th Global Conference on Sustainable Manufacturing, Istanbul, Turkey, 2012.","ama":"Schlüter A, Rosano M, Böhm S, Calisir N, Hesselbach J. Effects of Implementing Efficiency Techniques in the Plastics Industry in Germany and Western Australia – A Comparative Modelling Assessment. 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Meschut, and O. Hahn, “Experimentelle Untersuchung und Simulation des Crashverhaltens mechanisch gefügter Verbindungen,” in <i>1. Fügetechnisches Gemeinschaftskolloquium</i>, Garbsen, 2011."}},{"department":[{"_id":"154"}],"type":"dissertation","date_created":"2020-09-09T08:59:55Z","extern":"1","supervisor":[{"full_name":"Mahnken, Rolf","first_name":"Rolf","last_name":"Mahnken","id":"335"}],"citation":{"bibtex":"@book{Caylak_2011, series={Schriften des Lehrstuhls für Technische Mechanik}, title={Stabilized Mixed Triangular and Tetrahedral Finite Elements with Volume and Area Bubble Functions}, volume={Band 4}, publisher={Shaker}, author={Caylak, Ismail}, year={2011}, collection={Schriften des Lehrstuhls für Technische Mechanik} }","ama":"Caylak I. <i>Stabilized Mixed Triangular and Tetrahedral Finite Elements with Volume and Area Bubble Functions</i>. Vol Band 4. Shaker; 2011.","mla":"Caylak, Ismail. <i>Stabilized Mixed Triangular and Tetrahedral Finite Elements with Volume and Area Bubble Functions</i>. Vol. Band 4, Shaker, 2011.","short":"I. Caylak, Stabilized Mixed Triangular and Tetrahedral Finite Elements with Volume and Area Bubble Functions, Shaker, 2011.","chicago":"Caylak, Ismail. <i>Stabilized Mixed Triangular and Tetrahedral Finite Elements with Volume and Area Bubble Functions</i>. Vol. Band 4. Schriften Des Lehrstuhls Für Technische Mechanik. Shaker, 2011.","ieee":"I. Caylak, <i>Stabilized Mixed Triangular and Tetrahedral Finite Elements with Volume and Area Bubble Functions</i>, vol. Band 4. Shaker, 2011.","apa":"Caylak, I. (2011). <i>Stabilized Mixed Triangular and Tetrahedral Finite Elements with Volume and Area Bubble Functions</i> (Vol. Band 4). Shaker."},"volume":"Band 4","user_id":"75","series_title":"Schriften des Lehrstuhls für Technische Mechanik","_id":"19187","publisher":"Shaker","language":[{"iso":"eng"}],"page":"158 Seiten","date_updated":"2022-01-06T06:53:59Z","publication_status":"published","author":[{"first_name":"Ismail","last_name":"Caylak","full_name":"Caylak, Ismail","id":"75"}],"publication_identifier":{"isbn":["978-3-8440-0084-9"]},"status":"public","year":"2011","title":"Stabilized Mixed Triangular and Tetrahedral Finite Elements with Volume and Area Bubble Functions"},{"abstract":[{"text":"The aim of this paper is the description and evaluation of physical properties like porosity and density and their influence on mechanical properties of laser sintered polyamide parts. For example, by reducing the porosity an increase of mechanical properties is possible. The correlation of laser parameters to these properties is investigated in detail. The energy density is an important parameter for the laser sintering process. By changing laser power, scan velocity and hatch distance an influence on manufactured components is given. A systematic variation of all three laser parameters is performed. A comparison of results obtained at constant energy densities obtained by varying these relevant parameters accordingly is shown as well.","lang":"eng"}],"publication":"22th Annual International Solid Freeform Fabrication Symposium","citation":{"ieee":"S. Rüsenberg, L. Schmidt, and H.-J. Schmid, “Mechanical and Physical Properties - A Way to asses quality of Laser Sintered Parts,” in <i>22th Annual International Solid Freeform Fabrication Symposium</i>, 2011, vol. 22, pp. 239–251.","apa":"Rüsenberg, S., Schmidt, L., &#38; Schmid, H.-J. (2011). Mechanical and Physical Properties - A Way to asses quality of Laser Sintered Parts. In <i>22th Annual International Solid Freeform Fabrication Symposium</i> (Vol. 22, pp. 239–251). <a href=\"http://utw10945.utweb.utexas.edu/Manuscripts/2011/2011-19-Ruesenberg.pdf\">http://utw10945.utweb.utexas.edu/Manuscripts/2011/2011-19-Ruesenberg.pdf</a>","mla":"Rüsenberg, Stefan, et al. “Mechanical and Physical Properties - A Way to Asses Quality of Laser Sintered Parts.” <i>22th Annual International Solid Freeform Fabrication Symposium</i>, vol. 22, 2011, pp. 239–51, doi:<a href=\"http://utw10945.utweb.utexas.edu/Manuscripts/2011/2011-19-Ruesenberg.pdf\">http://utw10945.utweb.utexas.edu/Manuscripts/2011/2011-19-Ruesenberg.pdf</a>.","bibtex":"@inproceedings{Rüsenberg_Schmidt_Schmid_2011, title={Mechanical and Physical Properties - A Way to asses quality of Laser Sintered Parts}, volume={22}, DOI={<a href=\"http://utw10945.utweb.utexas.edu/Manuscripts/2011/2011-19-Ruesenberg.pdf\">http://utw10945.utweb.utexas.edu/Manuscripts/2011/2011-19-Ruesenberg.pdf</a>}, booktitle={22th Annual International Solid Freeform Fabrication Symposium}, author={Rüsenberg, Stefan and Schmidt, L. and Schmid, Hans-Joachim}, year={2011}, pages={239–251} }","ama":"Rüsenberg S, Schmidt L, Schmid H-J. Mechanical and Physical Properties - A Way to asses quality of Laser Sintered Parts. In: <i>22th Annual International Solid Freeform Fabrication Symposium</i>. Vol 22. ; 2011:239-251. doi:<a href=\"http://utw10945.utweb.utexas.edu/Manuscripts/2011/2011-19-Ruesenberg.pdf\">http://utw10945.utweb.utexas.edu/Manuscripts/2011/2011-19-Ruesenberg.pdf</a>","short":"S. Rüsenberg, L. Schmidt, H.-J. Schmid, in: 22th Annual International Solid Freeform Fabrication Symposium, 2011, pp. 239–251.","chicago":"Rüsenberg, Stefan, L. Schmidt, and Hans-Joachim Schmid. “Mechanical and Physical Properties - A Way to Asses Quality of Laser Sintered Parts.” In <i>22th Annual International Solid Freeform Fabrication Symposium</i>, 22:239–51, 2011. <a href=\"http://utw10945.utweb.utexas.edu/Manuscripts/2011/2011-19-Ruesenberg.pdf\">http://utw10945.utweb.utexas.edu/Manuscripts/2011/2011-19-Ruesenberg.pdf</a>."},"type":"conference","department":[{"_id":"150"},{"_id":"624"},{"_id":"219"}],"date_created":"2021-05-14T07:46:19Z","date_updated":"2022-01-06T06:55:28Z","intvolume":"        22","year":"2011","title":"Mechanical and Physical Properties - A Way to asses quality of Laser Sintered Parts","status":"public","author":[{"last_name":"Rüsenberg","first_name":"Stefan","full_name":"Rüsenberg, Stefan"},{"last_name":"Schmidt","first_name":"L.","full_name":"Schmidt, L."},{"id":"464","first_name":"Hans-Joachim","last_name":"Schmid","full_name":"Schmid, Hans-Joachim"}],"doi":"http://utw10945.utweb.utexas.edu/Manuscripts/2011/2011-19-Ruesenberg.pdf","user_id":"71545","volume":22,"page":"239-251","_id":"22188","language":[{"iso":"eng"}]},{"date_created":"2021-05-14T07:46:23Z","department":[{"_id":"150"},{"_id":"624"},{"_id":"219"}],"type":"book","citation":{"ieee":"S. Rüsenberg, L. Schmidt, H. Hosse, and H.-J. Schmid, <i>Porosity as a key to increase material properties of laser sintered parts</i>. 2011, pp. 531–538.","apa":"Rüsenberg, S., Schmidt, L., Hosse, H., &#38; Schmid, H.-J. (2011). <i>Porosity as a key to increase material properties of laser sintered parts</i> (pp. 531–538). <a href=\"https://doi.org/10.1201/b11341\">https://doi.org/10.1201/b11341</a>","chicago":"Rüsenberg, Stefan, L. Schmidt, H. Hosse, and Hans-Joachim Schmid. <i>Porosity as a Key to Increase Material Properties of Laser Sintered Parts</i>, 2011. <a href=\"https://doi.org/10.1201/b11341\">https://doi.org/10.1201/b11341</a>.","short":"S. Rüsenberg, L. Schmidt, H. Hosse, H.-J. Schmid, Porosity as a Key to Increase Material Properties of Laser Sintered Parts, 2011.","mla":"Rüsenberg, Stefan, et al. <i>Porosity as a Key to Increase Material Properties of Laser Sintered Parts</i>. 2011, pp. 531–38, doi:<a href=\"https://doi.org/10.1201/b11341\">10.1201/b11341</a>.","bibtex":"@book{Rüsenberg_Schmidt_Hosse_Schmid_2011, title={Porosity as a key to increase material properties of laser sintered parts}, DOI={<a href=\"https://doi.org/10.1201/b11341\">10.1201/b11341</a>}, author={Rüsenberg, Stefan and Schmidt, L. and Hosse, H. and Schmid, Hans-Joachim}, year={2011}, pages={531–538} }","ama":"Rüsenberg S, Schmidt L, Hosse H, Schmid H-J. <i>Porosity as a Key to Increase Material Properties of Laser Sintered Parts</i>.; 2011:531-538. doi:<a href=\"https://doi.org/10.1201/b11341\">10.1201/b11341</a>"},"language":[{"iso":"eng"}],"_id":"22191","page":"531-538","doi":"10.1201/b11341","user_id":"71545","author":[{"first_name":"Stefan","last_name":"Rüsenberg","full_name":"Rüsenberg, Stefan"},{"first_name":"L.","last_name":"Schmidt","full_name":"Schmidt, L."},{"full_name":"Hosse, H.","last_name":"Hosse","first_name":"H."},{"last_name":"Schmid","first_name":"Hans-Joachim","full_name":"Schmid, Hans-Joachim","id":"464"}],"publication_identifier":{"isbn":["978-0-429-21774-6"]},"status":"public","year":"2011","title":"Porosity as a key to increase material properties of laser sintered parts","date_updated":"2022-01-06T06:55:28Z"},{"type":"book","department":[{"_id":"9"},{"_id":"146"},{"_id":"219"},{"_id":"624"}],"date_created":"2021-06-15T11:08:38Z","citation":{"apa":"Adam, G., &#38; Zimmer, D. (2011). <i>Direct Manufacturing Design Rules</i> (pp. 545–551). CRC Press. <a href=\"https://doi.org/10.1201/b11341-88\">https://doi.org/10.1201/b11341-88</a>","mla":"Adam, Guido, and Detmar Zimmer. <i>Direct Manufacturing Design Rules</i>. CRC Press, 2011, pp. 545–51, doi:<a href=\"https://doi.org/10.1201/b11341-88\">10.1201/b11341-88</a>.","ieee":"G. Adam and D. Zimmer, <i>Direct Manufacturing Design Rules</i>. CRC Press, 2011, pp. 545–551.","ama":"Adam G, Zimmer D. <i>Direct Manufacturing Design Rules</i>. CRC Press; 2011:545-551. doi:<a href=\"https://doi.org/10.1201/b11341-88\">10.1201/b11341-88</a>","short":"G. Adam, D. Zimmer, Direct Manufacturing Design Rules, CRC Press, 2011.","chicago":"Adam, Guido, and Detmar Zimmer. <i>Direct Manufacturing Design Rules</i>. CRC Press, 2011. <a href=\"https://doi.org/10.1201/b11341-88\">https://doi.org/10.1201/b11341-88</a>.","bibtex":"@book{Adam_Zimmer_2011, title={Direct Manufacturing Design Rules}, DOI={<a href=\"https://doi.org/10.1201/b11341-88\">10.1201/b11341-88</a>}, publisher={CRC Press}, author={Adam, Guido and Zimmer, Detmar}, year={2011}, pages={545–551} }"},"user_id":"38077","doi":"10.1201/b11341-88","page":"545-551","_id":"22358","publisher":"CRC Press","language":[{"iso":"eng"}],"date_updated":"2022-01-06T06:55:31Z","title":"Direct Manufacturing Design Rules","year":"2011","status":"public","author":[{"full_name":"Adam, Guido","first_name":"Guido","last_name":"Adam"},{"id":"604","last_name":"Zimmer","first_name":"Detmar","full_name":"Zimmer, Detmar"}],"publication_identifier":{"isbn":["978-0-2031-8141-6"]}}]