@article{ChenchiahSchloemerkemper2012, author = {Chenchiah, Isaac and Schl{\"o}merkemper, Anja}, title = {Non-laminate microstructures in monoclinic-I martensite}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-72134}, year = {2012}, 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 T3s, which are (non-trivial) symmetrised rank-one convex hulls of 3-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.}, subject = {Martensit}, language = {en} }