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Evolution of a microstructure: A convexified model

✍ Scribed by Tomáš Roubíček

Publisher
John Wiley and Sons
Year
1993
Tongue
English
Weight
998 KB
Volume
16
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

It is known that, in a steady‐state case, the variational principle of minimal non‐convex potential energy creates a microstructure. This paper tries to formulate evolution of such microstructure on a basis of an energy variational principle (of the Hamilton type) involving a kinetic and a Rayleigh dissipative energies with the generalized impulse respecting a ‘convexified’ geometry. The existence of a solution is proved, using an approximation by a semi‐discretization in time. Some quantitative properties are investigated, too.

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