Mathematical modelling and thermal stress intensity factors evaluation for an interface crack in the presence of a system of cracks in functionally graded/homogeneous bimaterials
Mathematical modelling and thermal stress intensity factors evaluation for an interface crack in the presence of a system of cracks in functionally graded/homogeneous bimaterials
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DOI：
10.1016/j.commatsci.2011.02.028
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发表时间：
2012-02
影响因子：
3.3
通讯作者：
V. Petrova;S. Schmauder
中科院分区：
文献类型：
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作者：
V. Petrova;S. Schmauder
这项工作致力于在功能梯度/均质双材料的界面裂纹附近的断裂过程的数学模型进行内部缺陷的热通量。使用之前获得的解决方案（Petrova和Schmauder，2009，2011）[7，8]，并补充考虑裂纹闭合的额外可能性。该解是基于积分方程法，并假定功能梯度材料（FGM）的热性能具有指数形式。对于一个特殊的情况下，界面裂纹的长度是远远大于内部裂纹的功能梯度材料的渐近解析解的问题得到一系列的小参数（内部和界面裂纹的尺寸之间的比率）。分析了裂纹位置和方向、材料非均匀性参数以及裂纹闭合效应对FGM/均质双材料界面裂纹热应力强度因子的影响。一些FGM/均质双材料组合（即，金属/金属、陶瓷/金属）。
The work is devoted to mathematical modeling of the fracture processes in the vicinity of an interface crack in functionally graded/homogeneous bimaterials with internal defects subjected to a thermal flux. A previously obtained solution (Petrova and Schmauder, 2009, 2011) [7,8] is used and supplemented with the additional possibility to take into account the crack closure. The solution is based on the integral equation method and it is assumed that thermal properties of the functionally graded material (FGM) have exponential form. For a special case where an interface crack length is much larger than the internal cracks in the FGM an asymptotic analytical solution of the problem is obtained as series of a small parameter (the ratio between sizes of the internal and interface cracks). Analyses of the effects of the location and orientation of the cracks, the material non-homogeneity parameters and the crack closure effects on the thermal stress intensity factors of the interface crack in FGM/homogeneous bimaterials are performed. Examples of some FGM/homogeneous bimaterial combinations (i.e., metal/metal, ceramic/metal) are discussed.