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三维非线性有限元与弹性边界元耦合数值方法
引用本文:雷晓燕,杜庆华.三维非线性有限元与弹性边界元耦合数值方法[J].固体力学学报,1991,12(1):23-32.
作者姓名:雷晓燕  杜庆华
作者单位:华东交通大学 (雷晓燕),清华大学(杜庆华)
摘    要:本文系统地讨论了以下三个问题:(1) 有限元与边界元耦合中的几个数值问题,其中包括:边界积分方程的凝聚、等效刚度矩阵的对称化及面力不连续的处理;(2) 弹塑性有限元与弹性边界元的耦合;(3) 弹粘塑性有限元与弹性边界元的耦合及数值计算稳定性条件。

关 键 词:非线性  有限元  弹性  边界元  耦合

A NUMERICAL METHOD FOR THREE DIMENSIONAL NONLINEAR FINITE ELEMENTS WITH ELASTIC BOUNDARY ELEMENTS
Lei Xiaoyan Du Qinghua.A NUMERICAL METHOD FOR THREE DIMENSIONAL NONLINEAR FINITE ELEMENTS WITH ELASTIC BOUNDARY ELEMENTS[J].Acta Mechnica Solida Sinica,1991,12(1):23-32.
Authors:Lei Xiaoyan Du Qinghua
Institution:Lei Xiaoyan Du Qinghua (China East Jiaotong University) (Tsinghua University)
Abstract:The paper systematically deals with the following three problems: (1). Some numerical schemes in coupling FEM and BEM: including condensation of boudary integral equation, symmetrization of equivalent stiffness matrix and treatment of traction discontinuity, (2). Coupling of elastoplastic finite elements to elastic boundary clemens, (3). Coupling of clastoviscoplastic finite elements to elastic boundary elements and numerical stability condition.
Keywords:elastoplasticity  elasto-viscoplasticity  stability condition  coupling FEM to BEM    
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