A computational micro-sphere model applied to the simulation of phase-transformations
(2010) In Zeitschrift für Angewandte Mathematik und Mechanik 90(7-8). p.605-622- Abstract
- 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. (C) 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1656903
- author
- Ostwald, Richard ; Bartel, Thorsten and Menzel, Andreas LU
- organization
- publishing date
- 2010
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Phase-transformations, micro-sphere model, finite element method
- in
- Zeitschrift für Angewandte Mathematik und Mechanik
- volume
- 90
- issue
- 7-8
- pages
- 605 - 622
- publisher
- John Wiley & Sons Inc.
- external identifiers
-
- wos:000279989600006
- scopus:77954132738
- ISSN
- 0044-2267
- DOI
- 10.1002/zamm.200900390
- language
- English
- LU publication?
- yes
- id
- ba2c8b70-78c4-4cb9-9265-22ffdf903e12 (old id 1656903)
- date added to LUP
- 2016-04-01 10:48:39
- date last changed
- 2022-01-26 02:44:00
@article{ba2c8b70-78c4-4cb9-9265-22ffdf903e12, abstract = {{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. (C) 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim}}, author = {{Ostwald, Richard and Bartel, Thorsten and Menzel, Andreas}}, issn = {{0044-2267}}, keywords = {{Phase-transformations; micro-sphere model; finite element method}}, language = {{eng}}, number = {{7-8}}, pages = {{605--622}}, publisher = {{John Wiley & Sons Inc.}}, series = {{Zeitschrift für Angewandte Mathematik und Mechanik}}, title = {{A computational micro-sphere model applied to the simulation of phase-transformations}}, url = {{http://dx.doi.org/10.1002/zamm.200900390}}, doi = {{10.1002/zamm.200900390}}, volume = {{90}}, year = {{2010}}, }