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A micromechanical model for polycrystalline shape memory alloys - Formulation and numerical validation

R. Heinen, K. Hackl

IUTAM Bookseries, 21, 91-103, (2010)

DOI: 10.1007/978-90-481-9195-6_7

Download: BibTEX

The specific material properties of shape memory alloys are due to the formation of martensitic microstructures. In this contribution, we develop a strategy to model the material behavior based on energy considerations: we first present narrow bounds to the elastic energy obtained by lamination of the multi-well problem in the monocrystalline case. These considerations are then extended to polycrystals and compared to a convexification bound. Due to the acceptably low difference between convexification lower and lamination upper bound,we use the convexification bound to establish a micromechanical model which, on the basis of physically well motivated parameters such as elastic constants and transformation strains, is able to represent a variety of aspects of the material behavior such as seudoelasticity, pseudoplasticity and martensite reorientation. © 2010 Springer Science+Business Media B.V.

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{"type":"conference", "name":"r.heinen20104", "author":"R. Heinen and K. Hackl", "title":"A micromechanical model for polycrystalline shape memory alloys Formulation and numerical validation", "journal":"IUTAM Bookseries", "volume":"21", "OPTnumber":"", "OPTmonth":"4", "year":"2010", "OPTpages":"91-103", "OPTnote":"", "OPTkey":"convexification; elastic energy; energy considerations; martensite reorientation; martensitic microstructure; material behavior; micromechanical model; monocrystalline; multi-well problem; numerical validations; polycrystalline; pseudoplasticity; specific", "DOI":"10.1007/978-90-481-9195-6_7"}
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