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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)

DOI: 10.1002/zamm.200900244

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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.

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{"type":"article", "name":"t.bartel200910", "author":"T. Bartel and K. Hackl", "title":"A micromechanical model for martensitic phasetransformations in shapememory alloys based on energyrelaxation", "journal":"ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik", "volume":"89", "OPTnumber":"10", "OPTmonth":"10", "year":"2009", "OPTpages":"792-809", "OPTnote":"", "OPTkey":"martensitic phase transformations, shape‐memory alloys, energy relaxation, quasi‐convexification", "DOI":"10.1002/zamm.200900244"}
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