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Dissipative Evolution of Microstructure in Shape Memory Alloys

In: Lectures on Applied Mathematics

Author

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  • T. Roubíček

    (Charles University, Mathematical Institute
    Academy of Sciences, Institute of Information Theory and Automation)

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.

Suggested Citation

  • T. Roubíček, 2000. "Dissipative Evolution of Microstructure in Shape Memory Alloys," Springer Books, in: Hans-Joachim Bungartz & Ronald H. W. Hoppe & Christoph Zenger (ed.), Lectures on Applied Mathematics, pages 45-63, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-59709-1_4
    DOI: 10.1007/978-3-642-59709-1_4
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