计算力学学报2016，Vol.33Issue(4)：441-448,450,9.DOI:10.7511/jslx201604002
近场动力学与有限元的混合建模方法
Hybrid modeling methods of peridynamics and finite element method
摘要
Abstract
Research progress of the hybrid modeling methods of peridynamics(PD)and the finite element method(FEM)is reviewed.All the basic principles and features of the existing hybrid modeling methods and the research work of our group on this topic are introduced.There are four types of existing hybrid modeling methods,including the displacement constraint method,force coupling method,morphing function method and submodeling method.Except submodeling method,the other ones belong to the concurrent multiscale analysis method,whose basic modeling idea is that the computational structure can be divided into peridynamic subregion,finite element subregions,and j unction regions (or overlapping regions,or interface elements,or transition zones ).The submodeling method can be regarded as an explicit and explicit analysis method.It is first solved by the FEM globally,then solved by PD locally. The computational accuracy of the j unction and the ghost force need to be eliminated during the hybrid modeling.Through a comprehensive analysis,our group proposes a new approach to coupling the discretized PD and FEM based on the implicit scheme to take advantage of both methods.There is no longer an overlapping regions between PD subregions and FE subregions,therefore a truss element is introduced to bridge FE subregions and PD subregions.The FE nodes at the interface interact not only with other FE nodes of their connected elements,but also with PD points within the sphere of certain radius.As it has been proved to be effective and efficient in analyzing crack propagation problems,the proposed hybrid model is effective for failure analysis of engineering structures.关键词
近场动力学/有限元/混合建模/非局部/不连续力学问题Key words
peridynamics/finite element method/coupled model/nonlocal/discontinuous mechanics分类
数理科学引用本文复制引用
章青,郁杨天,顾鑫..近场动力学与有限元的混合建模方法[J].计算力学学报,2016,33(4):441-448,450,9.基金项目
国家自然科学基金(11372099,11132003) （11372099,11132003）
江苏省自然科学基金(BK20151493) （BK20151493）
国家科技支撑计划(2015BAB07B10)资助项目 （2015BAB07B10）
