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

[1] ADVANCED INELASTIC ANALYSIS OF SOLIDS BY THE BOUNDARY ELEMENT METHOD [J].

BANERJEE, PK ;

HENRY, DP ;

RAVEENDRA, ST .

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 1989, 31 (04) :309-322

[2] ADVANCED BOUNDARY ELEMENT ANALYSIS OF TWO-DIMENSIONAL AND 3-DIMENSIONAL PROBLEMS OF ELASTOPLASTICITY [J].

BANERJEE, PK ;

RAVEENDRA, ST .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1986, 23 (06) :985-1002

[3]

BANERJEE PK, 1979, P INT C NUM METH OFF

[4]

BANERJEE PK, 1979, 2 3 DIMENSIONAL PROB

[5]

BANERJEE PK, 1994, BOUNDARY ELEMENT MET, P73

[6]

BANERJEE PK, 1984, DEV BOUNDARY ELEMENT

[7] Implicit BEM formulations for usual and sensitivity problems in elasto-plasticity using the consistent tangent operator concept [J].

Bonnet, M ;

Mukherjee, S .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1996, 33 (30) :4461-4480

[8]

Brebbia CA., 1984, BOUNDARY ELEMENT TEC, DOI DOI 10.1007/978-3-642-48860-3

[9] SOME REMARKS ABOUT FORMULATION OF 3-DIMENSIONAL THERMOELASTOPLASTIC PROBLEMS BY INTEGRAL-EQUATIONS [J].

BUI, HD .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1978, 14 (11) :935-939

[10]

BURGHARDT B, 1998, BOUNDARY ELEMENT, V20

← 1 2 3 4 5 6 7 →