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Approximation in multiscale modelling of microstructure evolution in shape-memory alloys

Publication at Faculty of Mathematics and Physics |
2011

Abstract

Various models of microstructure in deformation gradient and its evolution arising in martensitic mechanically-induced isothermal phase transformation are surveyed and scrutinized, focusing on over-bridg\NEW{ing} of various scales of the problem and its numerical approximation. In particular, numerically efficient model of a relaxed problem is shown to be approximated by conventional but computationally less efficient model based on standard partial differential inequalities.