Dissipative Evolution of Microstructure in Shape Memory Alloys

T. Roubíček
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T. Roubíček: Charles University, Mathematical Institute

A chapter in Lectures on Applied Mathematics, 2000, pp 45-63 from Springer

Abstract: Abstract This contribution surveys models for evolution of twinning and inelastic response of crystallic materials due to martensitic phase transformations. Then a focus is devoted to a “mesoscopical” evolution model in a scalar situation based on a simple 2nd-order evolution variational inequality. A rate-independent dissipation mechanism is involved and shown by computer experiments to make possible a modelling of inelastic response of crystallic materials like shape-memory effects.

Keywords: Nonconvex variational problems; relaxation; Young measures; martensitic transformation; thermomechanical evolution; dissipation; activation; numerical tests (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-59709-1_4

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DOI: 10.1007/978-3-642-59709-1_4

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