Numerical investigation of large elastoplastic strains of three-dimensional bodies

被引：29
|
作者：
Golovanov, AI [1 ]
Sultanov, LU [1 ]
机构：
[1] VI Ulyanov Lenin Kazan State Univ, Kazan, Russia
来源：
INTERNATIONAL APPLIED MECHANICS | 2005年 / 41卷 / 06期
关键词：
three-dimensional body; large elastoplastic strains; stress-strain state; incremental loading technique; FEM;
D O I：
10.1007/s10778-005-0129-x
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
A method of stress-strain analysis of elastoplastic bodies with large displacements, rotations, and finite strains is developed. The incremental loading technique is used within the framework of the arbitrary Lagrangian-Eulerian formulation. Constitutive equations are derived which relate the Jaumann derivative of the Cauchy-Euler stress tensor and the strain rate. The spatial discretization is based on the FEM and multilinear three-dimensional isoparametric approximation. An algorithm of stress-strain analysis of elastic, hyperelastic, and perfectly plastic bodies is given. Numerical examples demonstrate the capabilities of the method and its software implementation.
引用
收藏
页码：614 / 620
页数：7
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