近场动力学与有限元方法耦合求解复合材料损伤问题  

Study of composite material damage problem using coupled peridynamics and finite element method

作　　者：刘硕[1] 方国东[1] 付茂青 王兵[1] 梁军 LIU Shuo;FANG GuoDong;FU MaoQing;WANG Bing;LIANG Jun(Science and Technology on Advanced Composites in Special Environments Key Laboratory,Harbin Institute of Technology,Harbin 150001,China;Institute of Advanced Structure Technology,Beijing Institute of Technology,Beijing 100081,China)

机构地区：[1]哈尔滨工业大学特种环境复合材料技术国防科技重点实验室,哈尔滨150001 [2]北京理工大学先进结构技术研究院,北京100081

出　　处：《中国科学：技术科学》2019年第10期1215-1222,共8页Scientia Sinica(Technologica)

基　　金：国家自然科学基金(批准号:11732002,11672089)资助项目

摘　　要：本文提出了一种求解纤维增强复合材料破坏问题的近场动力学方法(peridynamics, PD)/有限单元法(finite element method, FEM)耦合方法.根据PD方法求解含裂纹等不连续问题以及FEM高效求解的优势,将模型划分为PD区域、FEM区域和耦合区域.其中包含裂纹的区域采用PD建模,其他区域采用FEM建模,两区域的结合部分为耦合区域.该耦合方法操作简单, PD粒子与FEM节点之间没有重叠区域. PD粒子与其域内所有粒子(包括PD粒子和FEM节点)以非局部方式连接, FEM节点与其周围的所有粒子以有限元方式相互作用.该耦合方案模拟的复合材料损伤状态与纯PD方法模拟结果相符,但该耦合方案可有效地提高计算效率.A new method is proposed to study damage problems of fiber reinforced composite material by using coupled peridynamics(PD) and finite element method(FEM). This method has both the advantage of the computational efficiency of FEM and the advantage of PD solving discontinuous problems. The computational domain can be partitioned into PD region and FEM region and coupling region.The region containing crack is modeled by PD, the other region is modeled by FEM, and the coupling region is between the above two regions. Application of the coupling scheme proposed in this paper is simple and convenient, and there is no need to introduce an overlapping region between PD particles and FE nodes. The PD particle is connected non-locally to all particles(PD particles and FE nodes) within its horizon, whereas the FE node interacts with other nodes in the finite element manner. The damage states obtained by the coupling method are good in agreement with that obtained pure PD method, while this coupling method has the high computation efficiency.

关 键 词：耦合 有限元 近场动力学 复合材料 损伤 

分 类 号：TP[自动化与计算机技术]