Geometrically nonlinear shape-memory polycrystals made from a two-variant material
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...
متن کاملA model problem concerning recoverable strains of shape-memory polycrystals
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...
متن کاملA Two Variant Thermomechanical Model for Shape Memory Alloys
Shape Memory Alloys (SMAs) undergo stress and temperature induced reversible diffusionless crystalline phase transformations between a high synmaetry phase (austenite) stable at high tenlperatures and low stresses, and a low symmetry phase (martensite) stable at low temperatures and high stresses. Unusual macroscopic effects arise from these crystallographic changes, chiefly shape memory and su...
متن کاملShape Memory Behavior of FeNiCoTi Single and Polycrystals
second group who conducted extensive work on FeNiCoTi IT is well known that a number of Niand Cu-based alloys was Hornbogen and colleagues in Germany. They materials display shape memory behavior and also pseudohave considered compositionswith lower Co ( , 20 pct) and elastic response. The shape memory behavior is defined higher Ni ( . 20 pct) contents compared to Kokorin. Their as the recovera...
متن کاملStress-Induced Phase Transformations in Shape-Memory Polycrystals
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...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: ESAIM: Mathematical Modelling and Numerical Analysis
سال: 2000
ISSN: 0764-583X,1290-3841
DOI: 10.1051/m2an:2000146