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A micromechanical model for martensitic phase-transformations in shape-memory alloys based on energy-relaxation

T. Bartel, K. Hackl.

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, 89, 792-809, (2009)

Abstract
We develop a micromechanical model for single-crystalline materials undergoing diffusionless solid-to-solid phase transitions. It is based on the specification of laminated microstructures on the materials' microscale and hence is designed to approximate the rank-1-convex hull of the underlying energy-density for the phase-mixture. In order to capture the hysteretic behavior of such materials like shape-memory-alloys we also account for dissipation by means of evolution equations for the inelastic internal variables. In this context, we derive different evolution-laws from inelastic potentials via least-action principles. Several material-point computations emphasize the characteristics of the presented model. © 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.


Keyword(s): martensitic phase transformations, shape‐memory alloys, energy relaxation, quasi‐convexification
Cite as: https://www.scopus.com/inward/record.uri?eid=2-s2.0-70349644279&doi=10.1002%2fzamm.200900244&partnerID=40&md5=b29b969595d992b09690febbd5938831
DOI: 10.1002/zamm.200900244
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