13 June 1997 Metastability and hysteresis in active materials
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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.
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David S. Kinderlehrer, David S. Kinderlehrer, } "Metastability and hysteresis in active materials", Proc. SPIE 3039, Smart Structures and Materials 1997: Mathematics and Control in Smart Structures, (13 June 1997); doi: 10.1117/12.276537; https://doi.org/10.1117/12.276537
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