Details
| Original language | English |
|---|---|
| Pages (from-to) | 65-82 |
| Number of pages | 18 |
| Journal | International Journal of Impact Engineering |
| Volume | 87 |
| Publication status | Published - 18 Jul 2015 |
| Externally published | Yes |
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
- Engineering(all)
- Civil and Structural Engineering
- Engineering(all)
- Automotive Engineering
- Engineering(all)
- Aerospace Engineering
- Engineering(all)
- Safety, Risk, Reliability and Quality
- Engineering(all)
- Ocean Engineering
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
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In: International Journal of Impact Engineering, Vol. 87, 18.07.2015, p. 65-82.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A nonlinear semi-concurrent multiscale method for fractures
AU - Zhu, Hehua
AU - Wang, Qing
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 ).
PY - 2015/7/18
Y1 - 2015/7/18
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.
KW - Crack propagation
KW - Damage evolution
KW - Multiscale modelling
KW - Nonlinear semi-concurrent method
KW - Post-failure stage
UR - http://www.scopus.com/inward/record.url?scp=84954402252&partnerID=8YFLogxK
U2 - 10.1016/j.ijimpeng.2015.06.022
DO - 10.1016/j.ijimpeng.2015.06.022
M3 - Article
AN - SCOPUS:84954402252
VL - 87
SP - 65
EP - 82
JO - International Journal of Impact Engineering
JF - International Journal of Impact Engineering
SN - 0734-743X
ER -