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A Peridynamic Model for Analyzing Fracture Behavior of Functionally Graded Materials Used as an Interlayer
Acta Mechanica Solida Sinica ( IF 2.0 ) Pub Date : 2020-07-01 , DOI: 10.1007/s10338-020-00173-0
Zhanqi Cheng , Zhengqiang Fu , Yu Zhang , Hongxia Wu

Functionally graded materials (FGMs) can be used as an interlayer. The interlayer connects two homogeneous materials and slows mutations in material properties, owing to the variability of parameters and microstructure. In this numerical simulation, a bond-based peridynamic (PD) model was used to perform dynamic fracture analysis of a continuous beam and a sandwiched structure with an FGM interlayer. Some simulation results of two convergence studies, which include grid refinement (m-convergence) and the reducing radius of PD horizon (\(\delta \)-convergence), were discussed. Under a four-point bending load, the propagation behaviors of single pre-crack in the continuous beam with the FGM interlayer at different locations are simulated to compare with the experimental results. For the sandwiched structure, the problems of a single crack and double cracks were considered. The numerical results show that the crack can deflect toward areas where the energy release rate is low. Additionally, the crack on the weak side for symmetric cracks only has fracture behavior, and if the double cracks are asymmetrical, all these cracks have fracture behaviors and propagation of the initial crack in the stiff region has a higher sensitivity than in the compliant region.



中文翻译:

用于分析功能梯度材料作为中间层的断裂行为的围力学模型

功能渐变材料(FGM)可用作中间层。由于参数和微观结构的可变性,中间层连接了两种均质材料并减缓了材料特性的突变。在此数值模拟中,基于粘结的绕动(PD)模型用于对连续梁和具有FGM夹层的夹层结构进行动态断裂分析。两项收敛性研究的一些模拟结果,包括网格细化(m-收敛性)和PD水平线的减小半径(\(\ delta \)-收敛)。在四点弯曲载荷下,模拟了单个预裂纹在具有FGM夹层的连续梁在不同位置的传播行为,并与实验结果进行了比较。对于夹层结构,考虑了单裂纹和双裂纹的问题。数值结果表明,裂纹可以向能量释放率低的区域偏转。此外,对称裂纹的弱侧裂纹仅具有断裂行为,如果双裂纹是非对称裂纹,则所有这些裂纹都具有断裂行为,并且初始裂纹在刚性区域中的传播具有比顺应区域更高的敏感性。

更新日期:2020-07-01
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