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A phenomenological model for hysteresis in polycrystalline shape memory alloys
Author(s) -
Kružík M.,
Otto F.
Publication year - 2004
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.200310139
Subject(s) - crystallite , phenomenological model , homogeneous , hysteresis , discretization , grain boundary , shape memory alloy , materials science , transformation (genetics) , finite element method , orientation (vector space) , element (criminal law) , condensed matter physics , mechanics , metallurgy , geometry , structural engineering , statistical physics , mathematical analysis , mathematics , physics , engineering , chemistry , biochemistry , microstructure , political science , law , gene
We propose a phenomenological model describing stress and temperature induced transformations in polycrystalline shape memory alloys. Polycrystallinity is mimicked on the level of a finite element discretization: Each element is treated as a single grain of a randomly chosen orientation. This heterogeneity destroys the undesirable effect of instantaneous transformation under spatially homogeneous loading or heating. We present various computational experiments on the hysteretic effects.