Finite element analysis of 2D SMA beam bending

A thermomechanical model of a shape memory alloy beam bending under tip force loading is implemented in finite element codes.The constitutive model is a one dimensional model which is based on free energy and motivated by statistical thermodynamics.The particular focus of this paper is on the aspect...

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Bibliographic Details
Published in:Acta mechanica Sinica 2011-10, Vol.27 (5), p.738-748
Main Authors: Yang, Shi-Bin, Xu, Min
Format: Article
Language:English
Subjects:
Beams (structural)
Bending
Classical and Continuum Physics
Computational Intelligence
Computer simulation
Engineering
Engineering Fluid Dynamics
Finite element method
Mathematical analysis
Mathematical models
Research Paper
Shape memory alloys
SMA
Theoretical and Applied Mechanics
Two dimensional
二维模型
弯梁
形状记忆合金
形状记忆效应
有限元分析
有限元程序
统计热力学
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Summary:A thermomechanical model of a shape memory alloy beam bending under tip force loading is implemented in finite element codes.The constitutive model is a one dimensional model which is based on free energy and motivated by statistical thermodynamics.The particular focus of this paper is on the aspects of finite element modeling and simulation of the inhomogeneous beam bending problem.This paper extends previous work which is based on the small deformation Euler-Bernoulli beam theory and by treating an SMA beam as consisting of multi-layers in a twodimensional model.The flux terms are involved in the heat transfer equation.The simulations can represent both shape memory effect and super-elastic behavior.Different thermal boundary condition effect and load rate effect can also be captured.
ISSN:0567-7718
1614-3116
DOI:10.1007/s10409-011-0496-y