无网格方法施加本质边界条件的主从自由度法  

Implementation of Essential Boundary Condition in Mesh-less Method Using Master-Slave Relation

作　　者：郑子君[1,2] 陈永强[1] 陈璞[1,2] 

机构地区：[1]北京大学工学院力学与空天技术系,北京100871 [2]湍流与复杂系统国家重点实验室,北京100871

出　　处：《计算物理》2012年第2期159-165,共7页Chinese Journal of Computational Physics

基　　金：国家自然科学基金(10602002;10932001);973(2010CB731503)资助项目

摘　　要：以SPH(smoothed particle hydrodynamics)方法为例,把无网格法中的本质边界条件和复合材料界面连续条件视为多点约束(multi-point constraint,MPC),用主从自由度法(master-slave method)来处理.典型的基体-夹杂复合材料的线弹性问题算例结果表明,与罚函数法相比,采用主从自由度法的精度更高,适用范围更广.To enforce accurate displacement constraints,essential boundary conditions and interface continuity conditions in mesh-less method are treated as Multi-Point Constraints（MPC） of displacement,which are illustrated by using SPH（Smoothed Particle Hydrodynamics） method incorporated with algebraic master-slave relations.An example of linear elastic problem of representative volume element in matrix-inclusion composite is presented.Numerical tests show that the proposed algebraic master-slave method leads to higher accuracy and wider application than the penalty function method.

关 键 词：无网格法 光滑粒子动力学 本质边界条件 多点约束 主从自由度法 

分 类 号：O343.7[理学—固体力学]