A Micromechanical Model for Polycrystalline Shape Memory Alloys – Formulation and Numerical Validation
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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 pseudoelasticity, pseudoplasticity and martensite reorientation.
KeywordsElastic Constant Shape Memory Alloy Elastic Energy Material Behavior Transformation Strain
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- 3.K. Bhattacharya, Microstructure of Martensite – Why It Forms and How It Gives Rise to the Shape-Memory Effect, Oxford University Press, New York, 2003.Google Scholar