期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 189, 期 1, 页码 277-296出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/S0045-7825(99)00296-0
关键词
finite element method; consistent tangent operators; numerical differentiation; difference schemes; quadratic convergence
In this paper, numerical differentiation is applied to integrate plastic constitutive laws and to compute the corresponding consistent tangent operators. The derivatives of the constitutive equations are approximated by means of difference schemes. These derivatives are needed to achieve quadratic convergence in the integration at Gauss-point level and in the solution of the boundary value problem. Numerical differentiation is shown to be a simple, robust and competitive alternative to analytical derivatives. Quadratic convergence is maintained, provided that adequate schemes and stepsizes are chosen. This point is illustrated by means of some numerical examples. (C) 2000 Elsevier Science S.A. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据