Micromorphic approach to phase-field modeling of multivariant martensitic transformation with rate-independent dissipation effects

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:222

Article

Rezaee-Hajidehi, Mohsen¹  Stupkiewicz, Stanislaw¹ 

[1] Polish Acad Sci, Inst Fundamental Technol Res IPPT, Pawinskiego 5B, PL-02106 Warsaw, Poland

关键词: Phase-field method;    Micromorphic approach;    Rate-independent dissipation;    Incremental energy minimization;    Microstructure;    Shape-memory alloys;   

DOI  :  10.1016/j.ijsolstr.2021.03.014

来源: Elsevier

【 摘 要 】

A micromorphic formulation of the phase-field model of martensitic transformation is developed within the incremental energy minimization framework. In contrast to the conventional phase-field formulation, the order parameters are viewed as local variables and the corresponding evolution equations are solved at the material-point level, i.e. at the Gauss points in the finite-element setting. From a computational standpoint, such a treatment is advantageous for complex evolution laws that may lead to computational difficulties if treated globally, as in the conventional phase-field formulation. In the micromorphic formulation, each order parameter is coupled to its micromorphic counterpart governed by a global Helmholtztype PDE. This coupling ensures that the interfacial energy and related size effects are correctly captured by the model. In this work, the micromorphic approach is applied to a finite-strain multivariant phase-field model that incorporates rate-independent dissipation. The augmented Lagrangian technique is then used to transform the resulting non-smooth incremental minimization problem to a smooth and unconstrained saddle-point problem. Microstructure evolution under nano-indentation is studied to illustrate the approach. (C) 2021 The Author(s). Published by Elsevier Ltd.

【 授权许可】

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