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Structural Engineering and Mechanics
  Volume 75, Number 3, August10 2020, pages 339-356
DOI: http://dx.doi.org/10.12989/sem.2020.75.3.339
 


Peridynamic analysis of dynamic fracture behaviors in FGMs with different gradient directions
Miaomiao Kou, Jing Bi, Binhang Yuan and Yunteng Wang

 
Abstract
    In this article, a developed bond-based peridynamic model for functionally graded materials (FGMs) is proposed to simulate the dynamic fracture behaviors in FGMs. In the developed bond-based peridynamic model for FGMs, bonds are categorized into three different types, including transverse directionally peridynamic bond, gradient directionally peridynamic bond and arbitrary directionally peridynamic bond, according to the geometrical relationship between directions of peridynamic bonds and gradient bonds in FGMs. The peridynamic micromodulus in the gradient directionally and arbitrary directionally peridynamic bonds can be determined using the weighted projection method. Firstly, the standard bond-based peridynamic simulations of crack propagation and branching in the homogeneous PMMA plate are performed for validations, and the results are in good agreement with the previous experimental observations and the previous phase-field numerical results. Then, the numerical study of crack initiation, propagation and branching in FGMs are conducted using the developed bond-based peridynamic model, and the influence of gradient direction on the dynamic fracture behaviors, such as crack patterns and crack tip propagation speed, in FGMs is systematically studied. Finally, numerical results reveal that crack branching in FGMs under dynamic loading conditions is easier to occur as the gradient angle decreases, which is measured by the gradient direction and direction of the initial crack.
 
Key Words
    crack propagation; crack branching; FGMs; gradient direction; bond-based peridynamics
 
Address
Miaomiao Kou: 1. School of Civil Engineering, Qingdao University of Technology, Qingdao, 266033, China
2. Cooperative Innovation Center of Engineering Construction and Safety in Shandong Blue Economic Zone, Qingdao, 266033, China
Jing Bi: School of Civil Engineering, Guizhou University, Guiyang, 550000, China
Binhang Yuan :Computer Science Department, Rice University, 6100 Main Street, Houston, Texas, USA
Yunteng Wang: Chongqing University, Chongqing, 400045, China
 

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