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Computation of dynamic stress intensity factors for cracks in three-dimensional functionally graded solids

机译:三维功能梯度固体裂缝动态应力强度因子的计算

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Dynamic stress intensity factors are important parameters in the dynamic fracture behavior of a cracked body. In this paper, an interaction integral method is utilized to compute the mixed-mode dynamic stress intensity factors of three-dimensional functionally graded material solids. Using a proper definition of actual and auxiliary fields, a new formulation and application of the interaction integral is proposed, which is independent of the derivatives of the material properties. ABAQUS finite element package is applied to analyze the functionally graded material cracked bodies. Accordingly, a user material subroutine is written for implementing the continuous variation of the material properties. Temperature was used as an additional variable to consider the variation of density. A research code is developed to compute the interaction integral. This code is then validated by solving some homogeneous and functionally graded material problems. Furthermore, the effect of the material properties on the dynamic stress intensity factors of FGM bodies with elliptical crack is investigated by taking the sigmoidal model into account. Several important fracture behavior of functionally graded material cracked bodies under dynamic loadings for different material property profiles are explored in detail.
机译:动态应力强度因子是裂纹体动态断裂行为的重要参数。在本文中,利用相互作用积分方法来计算三维功能梯度材料固体的混合模式动态应力强度因子。使用实际和辅助场的适当定义,提出了一种新的交互整数的制剂和应用,其与材料特性的衍生物无关。 ABAQUS有限元包应用于分析功能梯度的材料裂纹体。因此,写入用户材料子程序以实现材料特性的连续变化。温度用作额外的变量,以考虑密度的变化。开发了一种研究代码来计算交互积分。然后通过解决一些均匀和功能分级的材料问题来验证该代码。此外,通过将S形模型考虑到考虑符号模型,研究了材料特性对具有椭圆形裂纹的FGM体动态应力强度因子的影响。详细探讨了不同材料性能型材动态载体下功能渐变材料裂纹体的几个重要骨折行为。

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