A nonlinear semi-concurrent multiscale method for fractures

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Hehua Zhu
  • Qing Wang
  • Xiaoying Zhuang

External Research Organisations

  • Tongji University
  • University of Durham
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Details

Original languageEnglish
Pages (from-to)65-82
Number of pages18
JournalInternational Journal of Impact Engineering
Volume87
Publication statusPublished - 18 Jul 2015
Externally publishedYes

Abstract

A nonlinear semi-concurrent multiscale method for the modelling of crack propagation evolving from micro-structure for non-linear material behaviour is developed. The present method is based on an asymptotic expansion homogenization combined with the semi-concurrent finite element modelling approach. A modified periodic boundary conditions and sphere grains generation procedure are devised for non-linear material model with post-failure stage. The statistical convergence of the microscale RVE model regarding the RVE characteristic size and composition material distributions is studied. It was found that convergence of the macroscopic material properties is determined by the reproduction of the periodic geometry of the RVEs. The present method is validated by the experimental results for brittle material. The location and sequence of crack initiation captured by the present method is compared with the experimental data. The experimental phenomenon of the wing-cracks initiation location and crack branching pattern are successfully captured by the present method. The results show that the present method is an effective for the modelling of dynamic damage evolution for brittle materials.

Keywords

    Crack propagation, Damage evolution, Multiscale modelling, Nonlinear semi-concurrent method, Post-failure stage

ASJC Scopus subject areas

Cite this

A nonlinear semi-concurrent multiscale method for fractures. / Zhu, Hehua; Wang, Qing; Zhuang, Xiaoying.
In: International Journal of Impact Engineering, Vol. 87, 18.07.2015, p. 65-82.

Research output: Contribution to journalArticleResearchpeer review

Zhu H, Wang Q, Zhuang X. A nonlinear semi-concurrent multiscale method for fractures. International Journal of Impact Engineering. 2015 Jul 18;87:65-82. doi: 10.1016/j.ijimpeng.2015.06.022
Zhu, Hehua ; Wang, Qing ; Zhuang, Xiaoying. / A nonlinear semi-concurrent multiscale method for fractures. In: International Journal of Impact Engineering. 2015 ; Vol. 87. pp. 65-82.
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abstract = "A nonlinear semi-concurrent multiscale method for the modelling of crack propagation evolving from micro-structure for non-linear material behaviour is developed. The present method is based on an asymptotic expansion homogenization combined with the semi-concurrent finite element modelling approach. A modified periodic boundary conditions and sphere grains generation procedure are devised for non-linear material model with post-failure stage. The statistical convergence of the microscale RVE model regarding the RVE characteristic size and composition material distributions is studied. It was found that convergence of the macroscopic material properties is determined by the reproduction of the periodic geometry of the RVEs. The present method is validated by the experimental results for brittle material. The location and sequence of crack initiation captured by the present method is compared with the experimental data. The experimental phenomenon of the wing-cracks initiation location and crack branching pattern are successfully captured by the present method. The results show that the present method is an effective for the modelling of dynamic damage evolution for brittle materials.",
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AU - Zhuang, Xiaoying

N1 - Funding information: The authors gratefully acknowledge the supports from the NSFC Program ( 51474157 , 41130751 ), the National Basic Research Program of China (973 Program: 2011CB013800 ), the Program for Changjiang Scholars and Innovative Research Team in University (PCSIRT, IRT1029 ), and the Ministry of Science and Technology of China ( SLDRCE14-B-31 ).

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N2 - A nonlinear semi-concurrent multiscale method for the modelling of crack propagation evolving from micro-structure for non-linear material behaviour is developed. The present method is based on an asymptotic expansion homogenization combined with the semi-concurrent finite element modelling approach. A modified periodic boundary conditions and sphere grains generation procedure are devised for non-linear material model with post-failure stage. The statistical convergence of the microscale RVE model regarding the RVE characteristic size and composition material distributions is studied. It was found that convergence of the macroscopic material properties is determined by the reproduction of the periodic geometry of the RVEs. The present method is validated by the experimental results for brittle material. The location and sequence of crack initiation captured by the present method is compared with the experimental data. The experimental phenomenon of the wing-cracks initiation location and crack branching pattern are successfully captured by the present method. The results show that the present method is an effective for the modelling of dynamic damage evolution for brittle materials.

AB - A nonlinear semi-concurrent multiscale method for the modelling of crack propagation evolving from micro-structure for non-linear material behaviour is developed. The present method is based on an asymptotic expansion homogenization combined with the semi-concurrent finite element modelling approach. A modified periodic boundary conditions and sphere grains generation procedure are devised for non-linear material model with post-failure stage. The statistical convergence of the microscale RVE model regarding the RVE characteristic size and composition material distributions is studied. It was found that convergence of the macroscopic material properties is determined by the reproduction of the periodic geometry of the RVEs. The present method is validated by the experimental results for brittle material. The location and sequence of crack initiation captured by the present method is compared with the experimental data. The experimental phenomenon of the wing-cracks initiation location and crack branching pattern are successfully captured by the present method. The results show that the present method is an effective for the modelling of dynamic damage evolution for brittle materials.

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