Non-laminate Microstructures in Monoclinic-I Martensite

Autor:	Chenchiah, Isaac Vikram, Schlömerkemper, Anja
Rok vydání:	2012
Předmět:	Mathematics - Analysis of PDEs Condensed Matter - Materials Science
Druh dokumentu:	Working Paper
Popis:	We study the symmetrised rank-one convex hull of monoclinic-I martensite (a twelve-variant material) in the context of geometrically-linear elasticity. We construct sets of T3s, which are (non-trivial) symmetrised rank-one convex hulls of three-tuples of pairwise incompatible strains. Moreover we construct a five-dimensional continuum of T3s and show that its intersection with the boundary of the symmetrised rank-one convex hull is four-dimensional. We also show that there is another kind of monoclinic-I martensite with qualitatively different semi-convex hulls which, so far as we know, has not been experimentally observed. Our strategy is to combine understanding of the algebraic structure of symmetrised rank-one convex cones with knowledge of the faceting structure of the convex polytope formed by the strains. Comment: Updated in light of referees' comments
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1201.6679 Zobrazit plný text záznamu View this record from Arxiv