Dynamic fracture analysis of functionally graded materials using ordinary state-based peridynamics
Dynamic fracture analysis of functionally graded materials using ordinary state-based peridynamics
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DOI：
10.1016/j.compstruct.2020.112296
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发表时间：
2020-07
影响因子：
6.3
通讯作者：
Murat Özdemir;A. Kefal;M. Imachi;Satoyuki Tanaka;E. Oterkus
中科院分区：
文献类型：
--
作者：
Murat Özdemir;A. Kefal;M. Imachi;Satoyuki Tanaka;E. Oterkus
功能梯度材料被认为是一种能够消除材料界面和分层问题的特殊复合材料。由于功能梯度成分的组成平滑，可以避免应力间断。在这项研究中，一种新出现的用于解决固体和结构中断裂问题的有效的非局部连续介质理论--周期动力学，被用来模拟功能梯度材料中的动态波传播和裂纹扩展。具体地说，采用普通的基于状态的公式。对于功能梯度材料的建模，普通的基于状态的公式略有修改。采用平均技术来确定与材料属性相关的动态参数。首先，考虑了一个基准问题来验证目前基于状态的均质材料脆性断裂动力学方法的实现。然后，对冲击载荷作用下功能梯度材料中波的传播进行了数值模拟。最后，对功能梯度材料的动态裂纹扩展进行了研究。将计算得到的裂纹路径和位移波与文献工作进行了比较，包括数值结果和实验结果。所得结果与文献结果吻合较好。结果表明，对普通状态公式的简单修改就可以模拟功能梯度材料的动态断裂。
Functionally graded materials are regarded as a special kind of composites capable of eliminating material interfaces and the delamination problems. Stress discontinuity can be avoided owing to smooth composition of the functionally graded ingredients. In this study, a recently emerged effective non-local continuum theory for solving fracture problems in solids and structures, peridynamics, is employed to simulate dynamic wave propagation as well as crack propagation in functionally graded materials. Specifically, the ordinary state-based formulation is adopted. The ordinary state-based formulation is slightly modified for the modelling of functionally graded materials. The averaging technique is employed to determine peridynamic parameters associated with the material properties. Firstly, a benchmark problem is considered to validate the present implementation of ordinary state-based peridynamics for brittle fracture of homogeneous materials. Then, the wave propagation in the functionally graded materials under impact loading is simulated. Finally, dynamic crack propagation in the functionally graded materials is studied. The evaluated crack paths and the displacement waves are compared with reference works including numerical and experimental results. Good agreement between the reference and present results is achieved. It is shown that a simple modification of ordinary state-based formulation has led to simulate dynamic fracture of functionally graded materials.