AN ITERATIVE ALGORITHM FOR LIMIT ANALYSIS WITH NONLINEAR YIELD FUNCTIONS

被引：91

作者：

ZOUAIN, N

HERSKOVITS, J

BORGES, LA

FEIJOO, RA

机构：

[1] UNIV FED RIO DE JANEIRO,DEPT ENGN MECAN,RIO JANEIRO,BRAZIL

[2] LAB NACL COMPUTACAO CIENTIF,RIO JANEIRO,BRAZIL

来源：

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES | 1993年 / 30卷 / 10期

关键词：

Algorithms - Finite element method - Iterative methods - Nonlinear equations - Nonlinear programming;

D O I：

10.1016/0020-7683(93)90220-2

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A mathematical programming algorithm is proposed for the general limit analysis problem. Plastic behavior is described by a set of linear or nonlinear yield functions. Abstract formulations of limit analysis are first considered and a Quasi-Newton strategy for solving the optimality conditions is then sketched. The structure of the problem arising from a finite element discretization is taken into account in order that the algorithm should be able to solve large scale problems.

引用

页码：1397 / 1417

页数：21

共 13 条

[1]

BORGES LA, 1989, 10TH P BRAZ C MECH E

[2]

BORGES LA, 1990, INT J METODOS NUMERI, V6, P81

[3] COMPUTATION OF LIMIT LOADS [J].

CHRISTIANSEN, E .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1981, 17 (10) :1547-1570

[4]

COHN MZ, 1977, P NATO ADV STUDY I O

[5]

EVE RA, 1989, 110 U CAP TOWN REP A

[6]

FEIJOO RA, 1987, 1ST INT C COMP PLAST, P33

[7] A 2-STAGE FEASIBLE DIRECTIONS ALGORITHM FOR NONLINEAR CONSTRAINED OPTIMIZATION [J].

HERSKOVITS, J .

MATHEMATICAL PROGRAMMING, 1986, 36 (01) :19-38

[8]

HERSKOVITS J, 1989, COMPUTER AIDED OPTIM

[9]

HUH H, 1991, INT J SOLIDS STRUCT, V28, P727

[10]

MASSONET C, 1979, CISM COURSES LECTURE, V241

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