TY  - JOUR
A1  - Chenchiah, Isaac
A1  - Schlömerkemper, Anja
T1  - Non-laminate microstructures in monoclinic-I martensite
N2  - 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.
KW  - Martensit
KW  - Mehrskalenmodell
KW  - Phasenumwandlung
KW  - Variationsrechnung
KW  - kubisch-monokliner Phasenübergang
KW  - semi-konvexe Hüllen
KW  - geometrisch lineare Elastizitätstheorie
KW  - T3s
KW  - cubic-monoclinic martensites
KW  - semi-convex hulls
KW  - geometrically linear elasticity
KW  - T3s
Y1  - 2012
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-72134
ER  -