Liu Bie Ju Centre for Mathematical Sciences
City University of Hong Kong
Mathematical Analysis and its Applications
Colloquium

Organized by Prof. Ya Yan LU and Prof. Wei Wei SUN

Instabilities in Stress-induced Phase Transitions in
Thin/slender SMA Structures

by

Professor H. H. Dai
Department of Mathematics
City University of Hong Kong

Date: Mar 22, 2011 (Tuesday)
Time:4:30 pm to 5:30 pm
Venue: Room B6605 (College Conference Room)
Blue Zone, Level 6, Academic Building
City University of Hong Kong

ABSTRACT: Shape memory alloys (SMAs) are a group of fascinating materials which can undergo a diffusionless transformation between two solid phases: a high symmetry austenite phase and a low symmetry martensite phase. These materials have numerical applications in medical technology, automotive and aerospace industries, etc. Various instability phenomena in stress-induced phase transitions in SMAs have been found in experiments. To describe these instabilities mathematically are challenging, since one needs to study the bifurcations/post-bifurcations of solutions of complicated coupled nonlinear partial differential equations. In this talk, I shall report some analytical results for certain interesting instabilities in thin/slender SMA structures obtained through a methodology of coupled series-asymptotic expansions developed by us.

** All interested are welcome **

For enquiry: 3442-9816