THE VARIATIONAL INEQUALITY FORMULATION FOR THE DEFORMATION THEORY IN PLASTICITY AND ITS NON-ITERATIVE SOLUTION

Applied Mathematics and Mechanics (English Edition) ›› 1993, Vol. 14 ›› Issue (12): 1163-1172.

THE VARIATIONAL INEQUALITY FORMULATION FOR THE DEFORMATION THEORY IN PLASTICITY AND ITS NON-ITERATIVE SOLUTION

郭小明, 余颖禾

Southeast University, Nanjing

收稿日期:1992-10-17 出版日期:1993-12-18 发布日期:1993-12-18

THE VARIATIONAL INEQUALITY FORMULATION FOR THE DEFORMATION THEORY IN PLASTICITY AND ITS NON-ITERATIVE SOLUTION

Guo Xiao-ming, She Ying-he

Southeast University, Nanjing

Received:1992-10-17 Online:1993-12-18 Published:1993-12-18

摘要/Abstract

摘要： In this paper, the deformation theory in plasticity is formulated in the variational inequality, which can relax the constraint conditions of the constitutive equations. The new form makes the calculation more convenient than general energy forms and have reliable mathematical basis. Thus the plasticity theory may be solved by means of the quadratic programming instead of the iterative methods. And the solutions can be made in one step without any diversion of the load.

关键词: deformation theory in plasticity, variational inequality, quadratic programming

Abstract: In this paper, the deformation theory in plasticity is formulated in the variational inequality, which can relax the constraint conditions of the constitutive equations. The new form makes the calculation more convenient than general energy forms and have reliable mathematical basis. Thus the plasticity theory may be solved by means of the quadratic programming instead of the iterative methods. And the solutions can be made in one step without any diversion of the load.

Key words: deformation theory in plasticity, variational inequality, quadratic programming

郭小明;余颖禾. THE VARIATIONAL INEQUALITY FORMULATION FOR THE DEFORMATION THEORY IN PLASTICITY AND ITS NON-ITERATIVE SOLUTION[J]. Applied Mathematics and Mechanics (English Edition), 1993, 14(12): 1163-1172.

Guo Xiao-ming;She Ying-he. THE VARIATIONAL INEQUALITY FORMULATION FOR THE DEFORMATION THEORY IN PLASTICITY AND ITS NON-ITERATIVE SOLUTION[J]. Applied Mathematics and Mechanics (English Edition), 1993, 14(12): 1163-1172.

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THE VARIATIONAL INEQUALITY FORMULATION FOR THE DEFORMATION THEORY IN PLASTICITY AND ITS NON-ITERATIVE SOLUTION

THE VARIATIONAL INEQUALITY FORMULATION FOR THE DEFORMATION THEORY IN PLASTICITY AND ITS NON-ITERATIVE SOLUTION

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