Numerical simulation of shape memory alloys structures using interior-point methods

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:48

Article

Peigney, M.¹  Seguin, J. P.^1,2  Herve-Luanco, E.² 

[1] Univ Paris Est, IFSTTAR, F-75732 Paris 15, France

[2] Univ Versailles, Lab Ingn Syst Versailles, F-78035 Versailles, France

关键词: Shape memory alloys;    Structures;    Micromechanical models;    Interior-point method;    Non-smooth mechanics;   

DOI  :  10.1016/j.ijsolstr.2011.05.017

来源: Elsevier

【 摘 要 】

This paper is concerned with the numerical simulation of quasi-static evolutions in shape memory alloys structures. In micromechanical models of shape memory alloys, the phase transformation is described by an internal variable representing the volume fractions of the different variants of martensite. In contrast with the framework of standard plasticity, that internal variable is physically constrained to satisfy a set of inequalities at each point. From a structural simulation point of view, handling such local constraints in the evolution problem is not obvious. Robustness and computational time are particularly sensitive issues. In this paper is proposed a new approach which essentially consists in reformulating the nonlinear incremental problem as a linear complementarity problem. That approach notably calls for an easy implementation in FEM codes. Comparison with some experimental and numerical results from literature shows the relevancy of the proposed approach. (C) 2011 Elsevier Ltd. All rights reserved.

【 授权许可】

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