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Dynamic Fracture Analysis of Functionally Gradient Materials with Two Cracks By Peridynamic Modeling

Zhanqi Cheng1, Dongdong Jin1, Chengfang Yuan1, Le Li1,*
1 School of Civil Engineering, Zhengzhou University, Zhengzhou, 450001, China.
* Corresponding Author: Le Li. Email: .
(This article belongs to this Special Issue: Recent Developments on Peridynamics)

Computer Modeling in Engineering & Sciences 2019, 121(2), 445-464.


In the research, the dynamic fracture failure problem of functionally graded materials (FGMs) containing two pre-cracks was analyzed using a bond-based Peridynamic (PD) method numerical model. The two convergence of decreasing the area of PD horizon (δ-convergence) and uniform mesh refinement (m-convergence) were studied. The effects of both crack position and distance between two cracks on crack propagation pattern in FGMs plate under tensile loads are studied. Furthermore, the effects of different gradient patterns on the dynamic propagation of cracks in FGMs are also investigated. The simulate results suggest that the cracks positions and the distance between them can significantly influence the dynamic propagation of crack in FGMs. Gradient mode also has a certain effect on crack propagation, but the effect of specific gradient variation patterns on dynamic propagation of crack is finite.


Peridynamic, functionally graded materials, crack propagation, dynamic loads.

Cite This Article

Cheng, Z., Jin, D., Yuan, C., Li, L. (2019). Dynamic Fracture Analysis of Functionally Gradient Materials with Two Cracks By Peridynamic Modeling. CMES-Computer Modeling in Engineering & Sciences, 121(2), 445–464.


This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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