无域积分的弹塑性边界元法的非线性互补方法  

NONLINEAR COMPLEMENTARITY APPROACH FOR ELASTOPLASTIC BEM WITHOUT INTERNAL CELL

作　　者：邓琴[1] 李春光[1] 王水林[1] 葛修润[1] 

机构地区：[1]中国科学院武汉岩土力学研究所岩土力学与工程国家重点实验室,武汉430071

出　　处：《工程力学》2012年第7期49-55,共7页Engineering Mechanics

基　　金：国家自然科学基金项目(50804044);中国科学院武汉岩土力学重点实验室开放课题研究项目(Z00601)

摘　　要：该文引入非线性互补方法来求解边界元法的弹塑性问题,其中方程组由内部点应力方程和反映塑性本构定律的互补函数形成。涉及的域积分采用径向积分法转化为边界积分。通过受内压的厚壁圆筒的应力、位移和荷载-位移情况表明了该算法的精度。A nonlinear complementarity approach is presented to solve elastoplastic problems by boundary element method, in which the equations are formulated by stress equations of intemal points and complementarity function obtained from plasticity constitutive law. The domain integrals involved are transformed into boundary integrals by radial integration method. The algorithm＇s precision is demonstrated by stress, displacement and load-displacement results of a thick-walled cylinder subjected to internal pressure.

关 键 词：非线性互补方法 边界元法 弹塑性问题 域积分 径向积分法 

分 类 号：O343.3[理学—固体力学]