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
| Original language | English |
|---|---|
| Pages (from-to) | 605-622 |
| Journal | Zeitschrift für Angewandte Mathematik und Mechanik |
| Volume | 90 |
| Issue number | 7-8 |
| DOIs | |
| Publication status | Published - 2010 |
Subject classification (UKÄ)
- Mechanical Engineering
Free keywords
- Phase-transformations
- micro-sphere model
- finite element method