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- Title
Non-Laminate Microstructures in Monoclinic-I Martensite.
- Authors
Chenchiah, Isaac; Schlömerkemper, Anja
- Abstract
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 Ts, which are (non-trivial) symmetrised rank-one convex hulls of three-tuples of pairwise incompatible strains. In addition, we construct a fivedimensional continuum of Ts 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, as 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.
- Subjects
MARTENSITE; MICROSTRUCTURE; SYMMETRY (Physics); LINEAR elastic fracture mechanics; GEOMETRICAL constructions; STRAINS &; stresses (Mechanics); CONVEX polytopes
- Publication
Archive for Rational Mechanics & Analysis, 2013, Vol 207, Issue 1, p39
- ISSN
0003-9527
- Publication type
Article
- DOI
10.1007/s00205-012-0552-1