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Abstract of the Article

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A finite strain SMA constitutive model: comparison of small and finite strain formulations

Authors:

[ J. Arghavani ] - Department of Mechanical Engineering, Sharif University of Technology
[ F. Auricchio ] - Dipartimento di Meccanica Strutturale, Università degli studi di Pavia, Pavia, Italy Istituto di Matematica Applicata e Tecnologie Informatiche del CNR, Pavia, Italy
[ A. Reali ] - Dipartimento di Meccanica Strutturale, Università degli studi di Pavia, Pavia, Italy Istituto di Matematica Applicata e Tecnologie Informatiche del CNR, Pavia, Italy
[ R. Naghdabadi ] - 5Institute for Nano-Science and Technology, Sharif University of Technology, Tehran, Iran

Abstract:

In this paper, we investigate the finite strain formulation of a previously proposed model for shape memory alloys in the small strain regime. The derivation is based on the multiplicative decomposition of the deformation gradient into elastic and transformation parts and utilizing the thermodynamics of irreversible process with internal variables. Some boundary value problems are considered to compare the effects of finitedeformation in shape memory alloys-based structures. Finally we discuss on the limitation of small-strain based constitutive models in simulating shape memory alloy devices.

Keywords:

Shape memory alloys, finite strain,constitutive model, internal variables