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Stress-free strains in martensitic microstructures

机译：马氏体组织中的无应力应变

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摘要

The peculiar properties of shape-memory alloys are the result of a solid/solid phase transformation between different crystallographic structures (austenite and martensite). This paper is concerned with the theoretical prediction of the set of strains that minimize the effective (or macroscopic) energy. Those strains, classically refered to as recoverable strains, play a central role in the shape memory effect displayed by alloys such as NiTi or CuAlNi. They correspond to macroscopic strains that can be achieved in stress-free states. Adopting the framework of nonlinear elasticity, the theoretical prediction of stress-free strains amounts to find the austenite/martensite microstructures which minimize the global energy. Closed-form solutions to that problem have been obtained only in few special cases. This paper aims at complementing existing results on that problem, essentially by deriving bounds on the set of stress-free strains.
机译：形状记忆合金的独特特性是不同晶体结构（奥氏体和马氏体）之间发生固/固相变的结果。本文关注的是最小化有效（或宏观）能量的应变集合的理论预测。这些应变，通常称为可恢复应变，在诸如NiTi或CuAlNi合金所表现出的形状记忆效应中起着核心作用。它们对应于可以在无应力状态下实现的宏观应变。采用非线性弹性的框架，无应力应变的理论预测足以找到使总能量最小化的奥氏体/马氏体微结构。仅在少数特殊情况下才获得该问题的闭式解决方案。本文旨在通过得出无应力应变集的边界来补充有关该问题的现有结果。

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