{"date_created":"2025-12-03T13:21:33Z","type":"journal_article","volume":90,"status":"public","author":[{"full_name":"Ostwald, Richard","orcid":"0000-0003-2147-8444","last_name":"Ostwald","id":"106876","first_name":"Richard"},{"last_name":"Bartel","full_name":"Bartel, T.","first_name":"T."},{"first_name":"A.","last_name":"Menzel","full_name":"Menzel, A."}],"department":[{"_id":"952"},{"_id":"321"}],"doi":"10.1002/zamm.200900390","language":[{"iso":"eng"}],"issue":"7-8","publication":"ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik","citation":{"bibtex":"@article{Ostwald_Bartel_Menzel_2010, title={A computational micro‐sphere model applied to the simulation of phase‐transformations}, volume={90}, DOI={<a href=\"https://doi.org/10.1002/zamm.200900390\">10.1002/zamm.200900390</a>}, number={7–8}, journal={ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik}, publisher={Wiley}, author={Ostwald, Richard and Bartel, T. and Menzel, A.}, year={2010}, pages={605–622} }","mla":"Ostwald, Richard, et al. “A Computational Micro‐sphere Model Applied to the Simulation of Phase‐transformations.” <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik</i>, vol. 90, no. 7–8, Wiley, 2010, pp. 605–22, doi:<a href=\"https://doi.org/10.1002/zamm.200900390\">10.1002/zamm.200900390</a>.","ieee":"R. Ostwald, T. Bartel, and A. Menzel, “A computational micro‐sphere model applied to the simulation of phase‐transformations,” <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik</i>, vol. 90, no. 7–8, pp. 605–622, 2010, doi: <a href=\"https://doi.org/10.1002/zamm.200900390\">10.1002/zamm.200900390</a>.","ama":"Ostwald R, Bartel T, Menzel A. A computational micro‐sphere model applied to the simulation of phase‐transformations. <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik</i>. 2010;90(7-8):605-622. doi:<a href=\"https://doi.org/10.1002/zamm.200900390\">10.1002/zamm.200900390</a>","chicago":"Ostwald, Richard, T. Bartel, and A. Menzel. “A Computational Micro‐sphere Model Applied to the Simulation of Phase‐transformations.” <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik</i> 90, no. 7–8 (2010): 605–22. <a href=\"https://doi.org/10.1002/zamm.200900390\">https://doi.org/10.1002/zamm.200900390</a>.","apa":"Ostwald, R., Bartel, T., &#38; Menzel, A. (2010). A computational micro‐sphere model applied to the simulation of phase‐transformations. <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik</i>, <i>90</i>(7–8), 605–622. <a href=\"https://doi.org/10.1002/zamm.200900390\">https://doi.org/10.1002/zamm.200900390</a>","short":"R. Ostwald, T. Bartel, A. Menzel, ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik 90 (2010) 605–622."},"_id":"62791","year":"2010","date_updated":"2025-12-03T13:22:16Z","intvolume":"        90","publication_identifier":{"issn":["0044-2267","1521-4001"]},"publication_status":"published","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>We present an efficient model for the simulation of polycrystalline materials undergoing solid to solid phase transformations. As a basis, we use a one‐dimensional, thermodynamically consistent phase‐transformation model. This model is embedded into a micro‐sphere formulation in order to simulate three‐dimensional boundary value problems. To solve the underlying evolution equations, we use a newly developed explicit integration scheme which could be proved to be unconditionally A‐stable. Besides the investigation of homogeneous deformation states, representative finite element examples are discussed. It is shown that the model nicely reflects the overall behaviour.</jats:p>"}],"quality_controlled":"1","user_id":"85414","publisher":"Wiley","title":"A computational micro‐sphere model applied to the simulation of phase‐transformations","page":"605-622"}