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    郑勇刚

    • 教授     博士生导师   硕士生导师
    • 主要任职:力学与航空航天学院副院长
    • 其他任职:工程力学系副主任(分管本科生、研究生培养)
    • 性别:男
    • 毕业院校:大连理工大学
    • 学位:博士
    • 所在单位:力学与航空航天学院
    • 学科:工程力学. 计算力学. 生物与纳米力学
    • 办公地点:一号综合实验楼626房间
    • 电子邮箱:zhengyg@dlut.edu.cn

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    A multiscale finite element method with embedded strong discontinuity model for the simulation of cohesive cracks in solids

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    论文类型:期刊论文

    第一作者:Lu, Mengkai

    通讯作者:Zheng, YG (reprint author), Dalian Univ Technol, Fac Vehicle Engn & Mech, Dept Engn Mech, State Key Lab Struct Anal Ind Equipment, Dalian 116023, Peoples R China.

    合写作者:Zhang, Hongwu,Zheng, Yonggang,Zhang, Liang

    发表时间:2016-11-01

    发表刊物:COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

    收录刊物:SCIE、EI、Scopus

    卷号:311

    页面范围:576-598

    ISSN号:0045-7825

    关键字:Multiscale finite element method; Enhanced coarse element; Embedded strong discontinuity model; Cohesive model; Crack

    摘要:A multiscale finite element method with the embedded strong discontinuity model is proposed to simulate the cohesive cracks in solids. In the proposed method, the kinematic descriptions of the strong discontinuity and space discretization are considered based on the fine-scale with the strong discontinuity approach. Then, in order to correctly and conveniently deliver the discontinuous information between the coarse-scale and fine-scale, an enhanced coarse element strategy is proposed to construct the multiscale base functions that can well capture the discontinuous characteristics and preserve an adequate accuracy for the unit cells exhibiting a strong discontinuity. The main idea is that the coarse nodes of the enhanced coarse element can be dynamically added according to the identification of the intersection between the crack path and the boundaries of the unit cell during the computational procedure. The strategy overcomes the deficiency that the traditional coarse elements in the multiscale finite element method cannot well characterize the displacement jump property on the boundary of the unit cell. Moreover, to accurately obtain the microscopic displacement, the displacement decomposition technique is adopted to modify the downscale computations by adding the perturbation solutions. Numerical examples of normal tension and bending tests are presented to validate the proposed method by comparing the results with the analytical or fine finite element solutions. Finally, the three-point bending and four-point bending benchmarks are performed to further demonstrate the effectiveness and high efficiency of the method. (C) 2016 Elsevier B.V. All rights reserved.