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Proceedings Paper

NiTi behavior under quasi-static thermomechanical loading
Author(s): Luis D. Duval; Soheil Saadat; Mohammad N. Noori; Hamid Davoodi; Zhikun Hou
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Paper Abstract

Shape memory alloys (SMAs) are identified with two main characteristics; shape memory effect, and pseudoelasticity; temperature and stress induced phase transformations respectively. By pseudoelasticity, SMAs sustain large amount of strain, without permanent plastic deformation, and recover it upon heating. Constitutive models have been proposed for single/polycrystalline SMAs. The first practical model, was proposed by Tanaka (1985, 1986). That consisted of one equation for stress vs strain, temperature, and martensitic phase fraction (MPF), and a set of kinetic relations, for MPF during phase transformations. Liang and Rogers (1990) proposed a model utilizing a simpler kinetic relation. Brinson (1993) developed a more versatile and realistic model, by incorporating the temperature and stress induced MPF into the kinetic relations. That predicts the material behavior throughout the entire temperature range. This paper presents a comprehensive understanding of temperature and stress induced phase transformation. A thorough interpretation of MPF and critical stresses of phase transformation versus temperature are discussed and capabilities of Brinson's model in reproducing the SMA characteristics under quasi-static thermomechanical loading are demonstrated. Such in-depth elaboration of these relationships has not been reported in the literature; yet is it is essential for capturing the nature of superelasticity. Exploring the capabilities of Brinson's model facilitates applications of autoadaptive materials in structural or mechanical systems.

Paper Details

Date Published: 4 June 1999
PDF: 9 pages
Proc. SPIE 3667, Smart Structures and Materials 1999: Mathematics and Control in Smart Structures, (4 June 1999); doi: 10.1117/12.350131
Show Author Affiliations
Luis D. Duval, Worcester Polytechnic Institute (United States)
Soheil Saadat, Worcester Polytechnic Institute (United States)
Mohammad N. Noori, Worcester Polytechnic Institute (United States)
Hamid Davoodi, Worcester Polytechnic Institute (United States)
Zhikun Hou, Worcester Polytechnic Institute (United States)

Published in SPIE Proceedings Vol. 3667:
Smart Structures and Materials 1999: Mathematics and Control in Smart Structures
Vasundara V. Varadan, Editor(s)

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