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  • 郑勇刚 ( 教授 )

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Time-discontinuous material point method for transient problems

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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,Int Res C, Dalian 116023, Peoples R China.
合写作者:Zhang, Jiayong,Zhang, Hongwu,Zheng, Yonggang,Chen, Zhen
发表时间:2018-01-01
发表刊物:COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
收录刊物:SCIE、EI、Scopus
卷号:328
页面范围:663-685
ISSN号:0045-7825
关键字:Material point method; Time-discontinuous formulation; Transient responses; Impact; Solids
摘要:This paper presents a time-discontinuous material point method (TDMPM) for transient problems such as the wave propagation and impact responses in solids. By dividing the continuous time domain into discrete time intervals, the weak form of the TDMPM is established by considering the discrete grid-based governing equations, constraint and discontinuity conditions. The displacement and velocity fields in a time interval are interpolated with the piecewise cubic and linear functions, respectively. By substituting the assumed displacement and velocity fields into the weak form, a novel computational framework for the grid displacements and velocities at the discrete time instants is constructed. In the new formulations, the displacement field at each time instant remains to be continuous, whereas the velocity field at the time instant becomes discontinuous. These unique features ensure the TDMPM could properly capture the discontinuous characteristics and control the spurious numerical oscillations. Two numerical examples under the impact loading are used to verify the proposed method. Two representative impact problems are then presented for further verification and demonstration. Besides, the corresponding contact algorithm adopted in the TDMPM is shown to be capable of capturing the correct contact behavior with higher fidelity and less computational cost than the MPM. The presented results illustrate that the TDMPM could successfully control the spurious numerical oscillations associated with transient simulations. (C) 2017 Elsevier B.V. All rights reserved.

 

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