Finite element analysis of Saint–Venant torsion problem with exact integration of the elastic–plastic constitutive equations
Finite element analysis of Saint–Venant torsion problem with exact integration of the elastic–plastic constitutive equations
复制标题
弹塑性本构方程精确积分圣维南扭转问题的有限元分析
DOI：
10.1016/s0045-7825(00)00302-9
复制
发表时间：
2001
影响因子：
7.2
通讯作者：
F. Gruttmann
中科院分区：
文献类型：
--
作者：
W. Wagner;F. Gruttmann
本文研究了考虑弹塑性材料特性的棱柱杆的扭转问题。基于所提出的变分列式，发展了相应的等参有限元。未知的翘曲函数近似使用等参的概念。弹塑性应力通过速率方程的精确积分获得。因此，极限扭矩可以在一个单一的负载步骤中计算。这个量描述了受扭杆件的塑性储备。此外，对于线性各向同性硬化，不需要局部迭代来计算积分点处的应力。数值结果是在非常好的协议与简单的几何形状可用的解析解。任意形状的域可以是简单连接或多个连接。
In this paper torsion of prismatic bars considering elastic–plastic material behaviour is studied. Based on the presented variational formulation associated isoparametric finite elements are developed. The unknown warping function is approximated using an isoparametric concept. The elastic–plastic stresses are obtained by an exact integration of the rate equations. Thus the ultimate torque can be calculated in one single load step. This quantity describes the plastic reserve of a bar subjected to torsion. Furthermore, for linear isotropic hardening no local iterations are necessary to compute the stresses at the integration points. The numerical results are in very good agreement with available analytical solutions for simple geometric shapes. The arbitrary shaped domains may be simply or multiple connected.