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  • 郑勇刚 ( 教授 )

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An Implicit Coupling Finite Element and Peridynamic Method for Dynamic Problems of Solid Mechanics with Crack Propagation

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论文类型:期刊论文
第一作者:Li, Hui
通讯作者:Zhang, HW; Zheng, YG (reprint author), Dalian Univ Technol, Int Res Ctr Computat Mech, State Key Lab Struct Anal Ind Equipment, Dept Engn Mech,Fac Vehicle Engn & Mech, Dalian 116023, Peoples R China.
合写作者:Zhang, Hongwu,Zheng, Yonggang,Ye, Hongfei,Lu, Mengkai
发表时间:2018-05-01
发表刊物:INTERNATIONAL JOURNAL OF APPLIED MECHANICS
收录刊物:SCIE
卷号:10
期号:4
ISSN号:1758-8251
关键字:Peridynamics; coupling method; implicit algorithm; crack; dynamic problem
摘要:An implicit coupling finite element and peridynamic (PD) method is developed in this paper for the dynamic problems of solid mechanics with crack propagation. In this method, an implicit. PD formulation is derived from the bond-based pairwise force that. is described as a linear function of the displacements by using the first-order Taylor's expansion technique. The equivalent incremental equations of the PD method and the finite element method are obtained on the basis of the Newmark and the Newton-Raphson schemes. To combine these two methods, the system is partitioned into two subregions and a convenient and efficient coupling strategy is proposed to form the coupling equivalent equation. The coupling domain is achieved by considering that. the nodes and material points share the common information. Furthermore, displacement and load control-based incremental-iterative methods are adopted to solve the nonlinear equations. Several representative numerical examples are carried out and the results demonstrate the effectiveness and accuracy of the proposed coupling method.

 

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