Loss of ellipticity analysis in non-smooth plasticity

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:222

Article

Staber, B.¹  Forest, S.²  Al Kotob, M.³  Maziere, M.²  Rose, T.¹ 

[1] Safran Tech, Modeling & Simulat, Rue Jeunes Bois, F-78114 Magny Les Hameaux, France

[2] PSL Univ, Ctr Mat, MINES ParisTech, CNRS,UMR 7633, BP 87, F-91003 Evry, France

[3] Safran Aircraft Engines Villaroche, F-77550 Moissy Cramayel, France

关键词: Loss of ellipticity;    Rice's criterion;    Localization;    Non-smooth yield functions;    Corners;    Critical hardening modulus;    Tresca;   

DOI  :  10.1016/j.ijsolstr.2021.02.021

来源: Elsevier

【 摘 要 】

This work is concerned with the influence of non-smooth yield functions on material instabilities. The loss of ellipticity condition is examined in the case of a family of non-smooth yield functions in principal stress space. A procedure for the numerical detection of loss of ellipticity in multisurface plasticity is proposed. An explicit expression of the subdifferential of the non-smooth yield function is obtained, thereby extending existing results in the literature for the Tresca and Mohr-Coulomb criteria. Structural computations show that the use of non-smooth yield functions can lead to much earlier failure prediction than in the case of a commonly used von Mises criterion. (C) 2021 Elsevier Ltd. All rights reserved.

【 授权许可】

Free