Simulation of dynamic interactions between the crack and inclusions by the Scaled Boundary Finite Element Method

SHI Mingguang1,3, XU Yanjie1, ZHANG Chuhan1, LIU Junyu2,4

Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (4) : 15-21.

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PDF(3207 KB)
Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (4) : 15-21.

Simulation of dynamic interactions between the crack and inclusions by the Scaled Boundary Finite Element Method

  • SHI Mingguang1,3, XU Yanjie1, ZHANG Chuhan1, LIU Junyu2,4
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Abstract

Any domain can be discretized with a mesh of arbitrary n-sided ( ) Polygon Scaled Boundary Finite Elements (PSBFE) through Delaunay triangulation automatically. Compared with previous literatures based on SBFEM, PSBFE retains the characteristics of SBFEM in accurately representing orders of singularities at the crack tips yet is more general and flexible in modeling complicated structures and its crack propagation. In this paper, PSBFE is for the first time, applied to the dynamic interactions between the crack and inclusions in composite material. The numerical result of stationary cracks under dynamic load is found consistent with available data in literature. Next, a local remeshing scheme is employed to simulate the dynamic crack propagation. The numerical results demonstrate the shielding and amplification effects of stiff and soft inclusion respectively. It is found that the sizes and positions of inclusions will also affect the dynamic stress intensity factor. The larger and close the inclusion is, the more effect it will has.

 

Key words

crack propagation / composite material / polygon elements / grid remeshing / dynamic stress intensity factor;

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SHI Mingguang1,3, XU Yanjie1, ZHANG Chuhan1, LIU Junyu2,4. Simulation of dynamic interactions between the crack and inclusions by the Scaled Boundary Finite Element Method[J]. Journal of Vibration and Shock, 2016, 35(4): 15-21

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