A return-map algorithm for general associative isotropic elasto-plastic materials in large deformation regimes

被引：42

作者：

Auricchio, F

Taylor, RL

机构：

[1] Univ Pavia, Dipartimento Meccan Strutturale, I-27100 Pavia, Italy

[2] Univ Calif Berkeley, Dept Civil Engn, Berkeley, CA 94720 USA

来源：

INTERNATIONAL JOURNAL OF PLASTICITY | 1999年 / 15卷 / 12期

关键词：

elastic-plastic; finite strain; finite elements; numerical algorithms; return map;

D O I：

10.1016/S0749-6419(99)00044-3

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The present paper addresses a flexible solution algorithm for associative isotropic elasto-plastic materials, i.e. for materials whose elastic and plastic behaviors are described through an isotropic free-energy function, an isotropic yield function and an associative flow rule. The discussion is relative to a large deformation regime, while no hardening mechanisms are included. The algorithm is based on a combination of the operator split method and a return map scheme. Both the algorithm linearization and the requirements for the yield criterion convexity are discussed in detail. Finally, to show the algorithm flexibility and performance, the discussion is specialized to three yield criteria and some test problems are studied. (C) 1999 Elsevier Science Ltd. All rights reserved.

引用

页码：1359 / 1378

页数：20

共 15 条

[11] ALGORITHMS FOR STATIC AND DYNAMIC MULTIPLICATIVE PLASTICITY THAT PRESERVE THE CLASSICAL RETURN MAPPING SCHEMES OF THE INFINITESIMAL THEORY [J].