NUMERICAL SOLUTION OF AXISYMMETRIC PROBLEM OF THE THEORY OF ELASTICITY ON THE BASIS OF CONTINUUM GRAPH MODEL

被引：0

作者：

Tyrymov, A. A. ^{[1
]}

机构：

[1] Volgograd State Tech Univ, Dept Appl Math, 28 Lenin Ave, Volgograd 400005, Russia

来源：

VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI | 2012年 / 02期

关键词：

mathematical simulation; elasticity; directed graph; strain; stress;

D O I：

10.14498/vsgtu914

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A numerical method for analysis of the stress strain state of elastic media based on a discrete model in form of directed graph is suggested. To analyze a deformable body using the graph approach, we partition a solid body on elements and replace each element by its model in the form of an elementary cell. The matrices, presenting several structure elements of the graph, and the equations, describing the elementary cells, contribute to deriving the constitutive equations of the intact body. Numerical examples are presented.

引用

页码：103 / 114

页数：12

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