PHYSICAL MATHEMATICS SEMINAR
TITLE: METASTABILITY AND MICROSTRUCTURE
IN STRUCTURAL PHASE TRANSFORMATIONS
SPEAKER: MITCHELL LUSKIN
SCHOOL OF MATHEMATICS
UNIVERSITY OF MINNESOTA
ABSTRACT:
Martensitic crystals undergo a first order structural phase transformation between a high
symmetry crystalline phase and several variants of a low symmetry crystalline phase
(such as the cubic to orthorhombic transformation in some CuAlNi alloys). These crystals
are observed to be in metastable states exhibiting a fine-scale spatial oscillation between
the variants of the low symmetry phase, and hysteresis is observed as the temperature or
boundary loads are varied. We will present computational methods and a numerical analysis
for this microstructure, and we will discuss several multistage methods and the different
metastable states that they compute.
TUESDAY, MARCH 18, 2003
2:30 pm
Building 2, Room 338
Refreshments will be served at 3:30 PM in Room 2-349
Massachusetts Institute of Technology
Department of Mathematics
Cambridge, MA 02139