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Stress-free strains in martensitic microstructures

机译：马氏体微结构中无应力菌株

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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：形状记忆合金的特殊特性是不同晶体结构（奥氏体和马氏体）之间的固体/固相变化的结果。本文涉及最小化有效（或宏观）能量的菌株集的理论预测。这些菌株是经典称为可回收菌株的菌株，在由诸如Niti或Cualni的合金显示的形状记忆效果中起着核心作用。它们对应于可以在无应力状态下实现的宏观菌株。采用非线性弹性的框架，无应力菌株的理论预测量为奥氏体/马氏体微观结构最小化全球能量。仅在少量特殊情况下获得了此问题的闭合状态。本文旨在补充该问题的现有结果，基本上是通过在无压力菌群上的界限获得界限。

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