An effective boundary element algorithm for 2D and 3D elastoplastic problems

被引：71

作者：

Gao, XW ^{[1
]}

Davies, TG ^{[1
]}

机构：

[1] Univ Glasgow, Dept Civil Engn, Glasgow G12 8LT, Lanark, Scotland

来源：

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES | 2000年 / 37卷 / 36期

关键词：

boundary element method; elastoplastic problem; singular domain integral; variable stiffness iteration; plastic multiplier;

D O I：

10.1016/S0020-7683(99)00188-2

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Novel methods are described for removing the strong singularities arising in the domain integrals of elastoplasticity, and for solving the non-linear equation set. The former employs a new transformation from domain integrals to (cell) boundary integrals. The number of system equations is minimised by using the plastic multiplier as the primary unknown and an incremental variable stiffness iterative algorithm is developed for solving these equations. Excellent convergence is achieved and some numerical examples demonstrate the algorithm's effectiveness. (C) 2000 Elsevier Science Ltd. All rights reserved.

引用

页码：4987 / 5008

页数：22

共 63 条

[51] Numerical implementation of a CTO-based implicit approach for the BEM solution of usual and sensitivity problems in elasto-plasticity [J].

Poon, H ;

Mukherjee, S ;

Bonnet, M .

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 1998, 22 (04) :257-269

[52]

RAVEENDRA ST, 1984, THESIS STATE U NEW Y

[53]

RICCARDELLA P, 1973, THESIS CARNEGIE MELL

[54] CONSISTENT TANGENT OPERATORS FOR RATE-INDEPENDENT ELASTOPLASTICITY [J].

SIMO, JC ;

TAYLOR, RL .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1985, 48 (01) :101-118

[55]

Swedlow J. L., 1971, International Journal of Solids and Structures, V7, P1673, DOI 10.1016/0020-7683(71)90006-0

[56] APPLICATION OF THE BOUNDARY ELEMENT METHOD TO PLASTICITY [J].

TELLES, JCF ;

BREBBIA, CA .

APPLIED MATHEMATICAL MODELLING, 1979, 3 (06) :466-470

[57] IMPLICIT PROCEDURES FOR THE SOLUTION OF ELASTOPLASTIC PROBLEMS BY THE BOUNDARY ELEMENT METHOD [J].

TELLES, JCF ;

CARRER, JAM .

MATHEMATICAL AND COMPUTER MODELLING, 1991, 15 (3-5) :303-311

[58]

TELLES JCF, 1980, P 2 INT C REC ADV BO, P295

[59]

Telles JCF, 1983, BOUNDARY ELEMENT MET

[60]

Wearing JL, 1998, BOUNDARY ELEMENT RESEARCH IN EUROPE, P93

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