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Small strain elasto-plastic multiphase-field model.
- Source :
-
Computational Mechanics . Jan2015, Vol. 55 Issue 1, p27-35. 9p. - Publication Year :
- 2015
-
Abstract
- A small strain plasticity model, based on the principles of continuum mechanics, is incorporated into a phase-field model for heterogeneous microstructures in polycrystalline and multiphase material systems (Nestler et al., Phys Rev 71:1-6, ). Thereby, the displacement field is computed by solving the local momentum balance dynamically (Spatschek et al., Phys Rev 75:1-14, ) using the finite difference method on a staggered grid. The elastic contribution is expressed as the linear approximation according to the Cauchy stress tensor. In order to calculate the plastic strain, the Prandtl-Reuss model is implemented consisting of an associated flow rule in combination with the von Mises yield criterion and a linear isotropic hardening approximation. Simulations are performed illustrating the evolution of the stress and plastic strain using a radial return mapping algorithm for single phase system and two phase microstructures. As an example for interface evolution coupling with elasto-plastic effects, we present crack propagation simulations in ductile material. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01787675
- Volume :
- 55
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Computational Mechanics
- Publication Type :
- Academic Journal
- Accession number :
- 100239782
- Full Text :
- https://doi.org/10.1007/s00466-014-1080-7