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Stress intensity factor analysis of a three-dimensional interface crack between dissimilar anisotropic materials under thermal stress

机译：热应力作用下异种材料间三维界面裂纹的应力强度因子分析

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摘要

A numerical method for evaluating the stress intensity factors (SIFs) of a three-dimensional interface crack between dissimilar anisotropic materials subjected to thermal and mechanical stresses is proposed. The M1-integral method was applied to an interfacial crack between three-dimensional anisotropic bimaterials under thermal stress. The moving least square approximation was utilized to calculate the value of the M1-integral. The M1-integral in conjunction with the moving least square approximation can be used to calculate the SIFs from nodal displacements obtained by finite element analysis. SIF analyses were performed for double edge cracks in jointed dissimilar isotropic semi-infinite plates subjected to thermal load. Excellent agreement was achieved between the numerical results obtained by the present method and the exact solution. In addition, we computed the SIFs of an external circular interfacial crack in jointed dissimilar anisotropic solids under thermal stress and showed the distributions of SIFs along the crack front. The distribution of stress and the crack opening displacement obtained by the asymptotic solution using the computed SIFs were compared with those obtained by the finite element analysis with fine mesh. They were almost identical to each other, except for the minor component of SIFs that is much smaller than the major component of SIFs. These results indirectly demonstrate the accuracy of the obtained SIFs.
机译：提出了一种数值方法，用于评估异种各向异性材料在热应力和机械应力作用下的三维界面裂纹的应力强度因子（SIF）。 M1积分法应用于热应力作用下三维各向异性双材料之间的界面裂纹。使用移动最小二乘近似来计算M1积分的值。 M1积分与移动最小二乘近似结合可用于根据通过有限元分析获得的节点位移来计算SIF。对承受热负荷的异种各向同性半无限大节理板双边缘裂纹进行了SIF分析。通过本方法获得的数值结果与精确解之间取得了极好的一致性。另外，我们还计算了在热应力作用下异种节理各向异性固体中外部圆形界面裂纹的SIF，并显示了沿裂纹前沿的SIF分布。将使用计算得到的SIF渐近解获得的应力分布和裂纹张开位移与通过细网格有限元分析获得的应力分布和裂纹张开位移进行了比较。它们几乎彼此相同，只是SIF的次要部分比SIF的主要部分小得多。这些结果间接证明了所获得的SIF的准确性。

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