Local boundary integral equation (LBIE) method for solving problems of elasticity with nonhomogeneous material properties

被引:137
作者
Sladek, J
Sladek, V
Atluri, SN
机构
[1] Univ Calif Los Angeles, Ctr Aerosp Res & Educ, Los Angeles, CA 90095 USA
[2] Slovak Acad Sci, Inst Construct & Architecture, Bratislava 84220, Slovakia
关键词
Material Property; Integral Equation; Interior Point; Fundamental Solution; Material Constant;
D O I
10.1007/s004660050005
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper presents the local boundary integral formulation for an elastic body with nonhomogeneous material properties. All nodal points are surrounded by a simple surface centered at the collocation point. Only one nodal point is included in each the sub-domain. On the surface of the sub-domain, both displacements and traction vectors are unknown generally. If a modified fundamental solution, for governing equation, which vanishes on the local boundary is chosen, the traction value is eliminated from the local boundary integral equations for all interior points. For every sub-domain, the material constants correspond to those at the collocation point at the center of sub-domain. Meshless and polynomial element approximations of displacements on the local boundaries are considered in the numerical analysis.
引用
收藏
页码:456 / 462
页数:7
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