Analysis of statically indeterminate problem of shape memory alloy beam under thermal and mechanical loads

Abstract

Abstract: Based on the bending deformation theory of beam and the stress-strain relationship of shape memory alloy, and further taking the relationship between critical stress and critical temperature of the shape memory alloy into account, the nonlinear mechanical behavior of statically indeterminate beam of shape memory alloy under the condition of impure bending is analyzed in this paper. In order to describe directly the asymmetry of phase transformation on both sides of the beam under tension or compression, a tension-compression asymmetry coefficient is hereby introduced. The stress distribution on cross section at each phase transformation stage is then analyzed. By solving the equilibrium equation, the displacement and curvature of neutral axis and the change of phase boundary along the axial direction are therefore obtained.

Key words: shape memory alloy, statically indeterminate, phase boundary, nonlinear

CLC Number:

O343

YANG Jing-ning, WANG Yong-xiang, TANG Jian. Analysis of statically indeterminate problem of shape memory alloy beam under thermal and mechanical loads[J]. Journal of Lanzhou University of Technology, 2021, 47(1): 158-163.

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