Jog my shape memory: dynamics as a challenge in mathematical materials science.
Many complex phenomena in nature exhibit multiple scales. The challenge is to understand how the effects on one scale influence those on another. This review discusses some aspects of a multiscale analysis of martensitic materials as a prominent example of materials that exhibit nuanced structures and surprising implications on various scales. The emphasis is on dynamic issues. Some speculations are offered on future research directions.
Zimmer
Johannes
J
Department of Mathematical Sciences, University of Bath, Bath BA2 7AY, UK.