Landau theory for shape memory polycrystals
نویسندگان
چکیده
منابع مشابه
Recoverable Strains in Shape-Memory Polycrystals
Many alloys display the shape-memory effect in single crystal form, however the degree to which they retain this effect in polycrystalline form varies widely. We propose a theoretical explanation for this difference, showing that the recoverable strain of a polycrystal depends on the texture of the polycrystal, the transformation strain of the underlying martensitic transformation and especiall...
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This paper addresses a model problem of nonlinear homogenization motivated by the study of the shape-memory effect in polycrystalline media. Specifically, it numerically computes the set of recoverable strains in a polycrystal given the set of recoverable strains of a single crystal in the two dimensional scalar (or antiplane shear) setting. This problem shares a direct analogy with crystal pla...
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Shape-memory alloys undergo a solid-to-solid phase transformation involving a change of crystal structure. We examine model problems in the scalar setting motivated by the situation when this transformation is induced by the application of stress in a polycrystalline material made of numerous grains of the same crystalline solid with varying orientations. We show that the onset of transformatio...
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In this paper, a system of partial di erential equations modelling the dynamics of martensitic phase transitions in shape memory alloys is further investigated. In this system, the free energy is assumed to be in the Landau-Ginzburg form and nonconvex in the order parameter; the materials are assumed to be viscous. In a previous paper published in SIAM J. Math. Anal. the global existence of a u...
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ژورنال
عنوان ژورنال: Acta Materialia
سال: 2004
ISSN: 1359-6454
DOI: 10.1016/j.actamat.2003.09.015