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Proceedings Paper

Metastability and hysteresis in active materials
Author(s): David S. Kinderlehrer
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Paper Abstract

We explore two issues related to metastable systems relevant to shape-memory alloys with highly mobile, complex, and easily transformed microstructure. The first is an approach towards modeling of the system interactions across a wide range of length scales, termed a hierarchy of scales approach. The second relates to possible dynamical principles and, in particular, hysteresis. We suggest that the metastability is governed in the weak topology and evolution is determined by a solution to the Fokker-Planck Equation.

Paper Details

Date Published: 13 June 1997
PDF: 12 pages
Proc. SPIE 3039, Smart Structures and Materials 1997: Mathematics and Control in Smart Structures, (13 June 1997); doi: 10.1117/12.276537
Show Author Affiliations
David S. Kinderlehrer, Carnegie Mellon Univ. (United States)


Published in SPIE Proceedings Vol. 3039:
Smart Structures and Materials 1997: Mathematics and Control in Smart Structures
Vasundara V. Varadan; Jagdish Chandra, Editor(s)

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