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Computational Mechanics
Published in: Computational Mechanics 6/2018

05-04-2018 | Original Paper

Multiphase-field model of small strain elasto-plasticity according to the mechanical jump conditions

Authors: Christoph Herrmann, Ephraim Schoof, Daniel Schneider, Felix Schwab, Andreas Reiter, Michael Selzer, Britta Nestler

Published in: Computational Mechanics | Issue 6/2018

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Abstract

We introduce a small strain elasto-plastic multiphase-field model according to the mechanical jump conditions. A rate-independent \(J_2\)-plasticity model with linear isotropic hardening and without kinematic hardening is applied exemplary. Generally, any physically nonlinear mechanical model is compatible with the subsequently presented procedure. In contrast to models with interpolated material parameters, the proposed model is able to apply different nonlinear mechanical constitutive equations for each phase separately. The Hadamard compatibility condition and the static force balance are employed as homogenization approaches to calculate the phase-inherent stresses and strains. Several verification cases are discussed. The applicability of the proposed model is demonstrated by simulations of the martensitic transformation and quantitative parameters.
previous article Rigid body formulation in a finite element context with contact interaction
next article Numerical evaluation of discontinuous and nonconforming finite element methods in nonlinear solid mechanics

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Metadata
Title
Multiphase-field model of small strain elasto-plasticity according to the mechanical jump conditions
Authors
Christoph Herrmann
Ephraim Schoof
Daniel Schneider
Felix Schwab
Andreas Reiter
Michael Selzer
Britta Nestler
Publication date
05-04-2018
Publisher
Springer Berlin Heidelberg
Published in
Computational Mechanics / Issue 6/2018
Print ISSN: 0178-7675
Electronic ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-018-1570-0

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