Zusammenfassung für den Vortrag am 28.08.2012 (10:15 Uhr)

Arbeitsgemeinschaft ANGEWANDTE ANALYSIS
Anja Schlömerkemper (Universität Würzburg)
Two Kinds of Monoclinic-I Martensite and some Insight into the Microstructures they Form
The most common shape memory alloys are monoclinic-I martensite. We study their zero energy states and have two surprising results: First, there is a five-dimensional continuum in which the energy minimising microstructures are T3s, i.e. in finite-rank laminates. To our knowledge, this is the fi rst real material in which T3s occur. We discuss some of the consequences of this discovery. Second, there are in fact two types of monoclinic-I martensite, which di ffer by their convex polytope structure but not by their symmetry properties. It happens that all known materials belong to one of the two types. We explore whether materials belonging to the other type would have superior properties since they have di fferent zero-energy states. Our analysis uses algebraic methods, in particular the theory of convex polytopes.


06.06.2018, 07:19