标题：Mixed Natural Neighbor Galerkin Method for 3D Couple-Stress Elasticity
作者：Wang, Kai; Zhou, Shenjie; Nie, Zhifeng
作者机构：[Wang, Kai] Jinan Engn & Vocat Tech Coll, Dept Mech & Elect Engn, Jinan 250200, Peoples R China.; [Zhou, Shenjie] Shandong Univ, Sch Mech Engn, Jina 更多
会议名称：International Conference on Engineering Design and Optimization (ICEDO 2010)
会议日期：OCT 28-30, 2010
来源：ADVANCES IN ENGINEERING DESIGN AND OPTIMIZATION, PTS 1 AND 2
关键词：Meshless method; Natural neighbor Galerkin method; Couple-stress; Size; effect
摘要：Based on the constrained variational principle, the mixed multi-variable natural neighbor Galerkin method for couple-stress elasticity is proposed for three-dimensional problems. The displacements and micro-rotations are taken to be independent nodal degrees of freedom, and the geometrical constraints between them are enforced through Lagrange multipliers. The C-0-continuous non-Sibsonain interpolation is used to obtain the discrete equations. The proposed method is tested by the numerical example and the results show that strong size effects are observed when the length of deformation field and the characteristic length of the material are comparable.