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A pseudoelastic model for mechanical twinning on the microscale
Author(s) -
Glüge R.,
Bertram A.,
Böhlke T.,
Specht E.
Publication year - 2010
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200900339
Subject(s) - crystal twinning , materials science , slip (aerodynamics) , microscale chemistry , plasticity , nucleation , deformation mechanism , mechanics , thermodynamics , composite material , physics , mathematics , microstructure , mathematics education
A pseudoelastic model for the simulation of deformation twinning on the microscale is develope and coupled with a crystal plasticity model for crystallographic slip. The material parameters are adopted to $\{10\bar 1 2\}\langle \bar 1 0 1 1 \rangle$ twinning and basal glide in a magnesium alloy. Special attention is drawn to the energy invariance of conjugate twin systems that emerges when twinning is treated elastically. The model is tested in three characteristic FE simulations, namely a simple shear test parallel and inclined to a twin system and an elongation test of a notched band. The slip‐twin interaction is studied, as well as the practical implications of the strain energy invariance. Some characteristics of twinning could be reproduced. The most important observations are that the load drop at the twin nucleation, the cusp shape of the twin tip in the absence of slip and the kink patterns that evolve in slip‐twin interaction could be simulated.