物理学报Issue(10)：100234-100241,8.DOI:10.7498/aps.64.100204
轴对称构件受力分析的插值粒子法∗
Interp olating particle metho d for mechanical analysis of space axisymmetric comp onents
摘要
Abstract
For the mechanical analyses of the axisymmetric structures in civil and mechanical engineering, combining the interpolating reproducing kernel particle method and the principle of minimum potential energy of space axisymmetrical elastic problems, the interpolating particle method for space axisymmetrical problem of elasticty is presented. And the corresponding matrix equations are deduced. This method employs the shape function with interpolating properties of scatter points and forms the displacement trial function to get rid of dependence on meshes, so it has an advantage that it can directly exert boundary conditions and can increase the computation efficiency. This method can obtain the global continuous stress field directly and avoid the fitting calculation error of stress in the post-processing of finite element method, then it is a high-precision numerical simulation method. Numerical examples are given to show the validity of the new mesh-less method in the paper.关键词
插值重构核粒子法/空间轴对称/弹性问题/无网格方法Key words
interpolating particle method/space axisymmetry/elastic mechanics problems/meshless method引用本文复制引用
杜红秀,魏宏,秦义校,李中华,王同尊..轴对称构件受力分析的插值粒子法∗[J].物理学报,2015,(10):100234-100241,8.基金项目
国家自然科学基金(批准号:51478290)和山西省自然科学基金(批准号:2013011022-6)资助的课题.* Project supported by the National Natural Science Foundation of China (Grant No.51478290) and the Natural Science Foundation of Shanxi Province, China (Grant No.2013011022-6) （批准号:51478290）
