Exact solution of a plastic hollow sphere with a Mises-Schleicher matrix

被引：29

作者：

Monchiet, Vincent ^{[1
]}

Kondo, Djimedo ^{[2
,3
]}

机构：

[1] Univ Paris Est, MSME UMR CNRS 8208, F-77454 Marne La Vallee, France

[2] Univ Paris 06, Inst Jean Le Rond dAlembert, UMR 7190, F-75252 Paris, France

[3] CNRS, Inst Jean Le Rond dAlembert, UMR 7190, F-75252 Paris, France

来源：

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE | 2012年 / 51卷

关键词：

Gurson model; Hollow sphere; Pressure-sensitive plasticity; Mises-Schleicher; Parabolic type criterion; PRESSURE-SENSITIVE MATRICES; POROUS SOLIDS; VOID NUCLEATION; VELOCITY-FIELDS; FLOW RULES; CRITERION; STRESS;

D O I：

10.1016/j.ijengsci.2011.10.007

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper we establish the exact solution for a hollow sphere with a rigid-plastic pressure-sensitive matrix and subjected to hydrostatic tension or compression. The matrix is assumed to obey to a parabolic Mises-Schleicher criterion. The closed-form expressions of the velocity field and of the stress field are provided. These exact solutions, expressed by means of the Lambert W function, allow to assess and discuss existing results. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：168 / 178

页数：11

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