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  • 郑勇刚 ( 教授 )

    的个人主页 http://faculty.dlut.edu.cn/zhengyg/zh_CN/index.htm

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A coupling extended multiscale finite element and peridynamic method for modeling of crack propagation in solids

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论文类型:期刊论文
第一作者:Zhang, Hongwu
通讯作者:Zhang, HW; Zheng, YG (reprint author), Dalian Univ Technol, State Key Lab Struct Anal Ind Equipment, Int Res Ctr Computat Mech, Dept Engn Mech,Fac Vehicle Engn & Mech, Dalian 116024, Peoples R China.
合写作者:Li, Hui,Ye, Hongfei,Zheng, Yonggang,Zhang, Yixiong
发表时间:2019-10-01
发表刊物:ACTA MECHANICA
收录刊物:EI、SCIE
卷号:230
期号:10
页面范围:3667-3692
ISSN号:0001-5970
摘要:A coupling extended multiscale finite element and peridynamic method is developed for the quasi-static mechanical analysis of large-scale structures with crack propagation. Firstly, a novel incremental peridynamic (PD) formulation based on the ordinary state-based PD model is derived utilizing the Taylor expansion technique. To combine the high computational efficiency of the EMsFEM and advantages of dealing with discontinuous problems of the PD, a coupling strategy based on the numerical base function is proposed, in which the displacement constraint relationships between the coarse element nodes of the EMsFEM and the material points of the PD among the coupling domain are constructed by the numerical base functions and are represented by a coupling strain energy function using the Lagrange multiplier method. Then, a bilinear softening material model is adopted to describe the damage and failure of the bond, and the incremental-iterative algorithms are applied to obtain the steady-state solutions. Finally, several representative numerical examples are presented, and the results demonstrate the accuracy and efficiency of the proposed coupling method for the quasi-static mechanical analysis of large-scale structures with crack propagation. Comparing with the single EMsFEM and PD method, the present coupling method can reduce much computational cost and well deal with crack problems, simultaneously.

 

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