We address the analysis of the Souza-Auricchio model for shapememory alloys in the finite-strain setting. The model is formulated in variational terms and the existence of quasistatic evolutions is obtained within the classical frame of energetic solvability. The finite-strain model is proved to converge to its small-strain counterpart for small deformations via a variational convergence argument.

Existence and linearization for the Souza-Auricchio model at finite strains

U Stefanelli
2017

Abstract

We address the analysis of the Souza-Auricchio model for shapememory alloys in the finite-strain setting. The model is formulated in variational terms and the existence of quasistatic evolutions is obtained within the classical frame of energetic solvability. The finite-strain model is proved to converge to its small-strain counterpart for small deformations via a variational convergence argument.
2017
Istituto di Matematica Applicata e Tecnologie Informatiche - IMATI -
Evolution Gamma-convergence
Existence theory
Finite strain
Linearization
Rate-independence
Shape-memory alloys
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/342085
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