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A variational characterization of rate-independent evolution

✍ Scribed by Ulisse Stefanelli

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
253 KB
Volume
282
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

Rate‐independent evolution driven by non‐convex potentials is by nature non‐smooth and some weak solvability notions have been recently advanced. This note is intended to contribute to this discussion by proposing a variational characterization of rate‐independent evolution based on a variational principle and a maximal dissipation criterion. The resulting novel solution notion is assessed in an elementary yet critical scalar case (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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