Mixed projection-mesh scheme of the finite-element method for the solution of the boundary-value problems of the theory of small elastic-plastic strains

被引：0

作者：

Chirkov A.Yu. ^{[1
]}

机构：

[1] Pisarenko Institute of Problems of Strength, National Academy of Sciences of Ukraine, Kiev

来源：

Strength of Materials | 2004年 / 36卷 / 6期

关键词：

approximation; convergence; correctness; finite-element method; mixed scheme; plasticity theory; stability;

D O I：

10.1007/s11223-005-0006-1

中图分类号：

学科分类号：

摘要：

A mixed projection-mesh scheme for the solution of nonlinear boundary-value problems of the theory of small elastic-plastic strains has been formulated. Correctness and convergence of the mixed approximations for stresses, strains, and displacements have been analyzed. The properties of projection operators are studied in detail, and on the basis of the results obtained, a condition has been formulated, which ensures the existence, uniqueness, and stability of the solution to a discrete problem. Application of the numerical integration has been analyzed and the obtained results are presented. The correctness and convergence estimates are based on the theory of generalized functions and the functional analysis method. © 2004 Springer Science+Business Media, Inc.

引用

页码：591 / 611

页数：20

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