Time integration and assessment of a model for shape memory alloys considering multiaxial nonproportional loading cases

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:54

Article

Gu, Xiaojun^1,4  Zaki, Wael²  Morin, Claire³  Moumni, Ziad^1,4  Zhang, Weihong¹ 

[1] Northwestern Polytech Univ, Xian 710072, Shaanxi, Peoples R China

[2] Khalifa Univ Sci Technol & Res, POB 127788, Abu Dhabi, U Arab Emirates

[3] Ecole Natl Super Mines, F-42023 St Etienne, France

[4] ENSTA ParisTech, F-91762 Palaiseau, France

关键词: Shape memory alloys;    Nonproportional loading;    Multiaxial loading;    Phase transformation;    Martensite reorientation;    Multisurface inelasticity;   

DOI  :  10.1016/j.ijsolstr.2014.11.005

来源: Elsevier

【 摘 要 】

The paper presents a numerical implementation of the ZM model for shape memory alloys (Zaki and Moumni, 2007a) that fully accounts for nonproportional loading and its influence on martensite reorientation and phase transformation. Detailed derivation of the time-discrete implicit integration algorithm is provided, including an explicit closed-form expression for the continuous material jacobian. The algorithm is used for finite element simulations using Abaqus, in which the model is implemented by means of a user material subroutine. Extensive validation of the model is provided against multiple sets of experimental and numerical simulation data taken from the literature. (C) 2014 Elsevier Ltd. All rights reserved.

【 授权许可】

Free