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Proceedings Paper

Modeling of ferroelastic behavior of shape-memory alloys
Author(s): Tadashige Ikeda
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Paper Abstract

A simple yet accurate model of shape memory alloys (SMAs) is proposed, which can consider asymmetric tension-compression ferroelastic behavior. Features of this model are (1) energy-based transformation criterion, (2) partial transformation rule based on the micromechanical viewpoint, (3) required transformation energy in the form of a sum of two exponential functions in terms of phase volume fraction, and (4) energy balance equation including thermoelastic effect and dissipated energy due to interaction between the phases. In this ferroelastic model, three phases are considered, namely, an austenitic phase, a tensile stress induced martensitic phase, and a compressive stress induced martensitic phase. The tension-compression asymmetry is expressed by using different required transformation energy functions in different transformation directions and by using different intrinsic strains and Young's moduli in different phases. Stress-strain hysteresis loops for a SMA bar under tensile-compressive cyclic loading are simulated. The obtained result shows that the proposed model can well capture the asymmetric stress-strain loops for tension and compression, minor loops, and effects of temperature and strain rate. This indicates that this model would be a useful tool for understanding the mechanism of SMA behavior and designing smart structures with SMA elements.

Paper Details

Date Published: 19 May 2005
PDF: 9 pages
Proc. SPIE 5757, Smart Structures and Materials 2005: Modeling, Signal Processing, and Control, (19 May 2005); doi: 10.1117/12.598693
Show Author Affiliations
Tadashige Ikeda, Nagoya Univ. (Japan)

Published in SPIE Proceedings Vol. 5757:
Smart Structures and Materials 2005: Modeling, Signal Processing, and Control
Ralph C. Smith, Editor(s)

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