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首页> 外文期刊>JSME International Journal. Series A >Composition Profile for Improving the brittle Fracture Characteristics in Semi-Infinite Functionally Graded Materials
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Composition Profile for Improving the brittle Fracture Characteristics in Semi-Infinite Functionally Graded Materials

机译：改善半无限功能梯度材料脆性断裂特性的成分分布

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摘要

In this study, we analyze the composition profile of semi-infinite functionally graded materials (FGMs) with a view to improving the brittle fracture characteristics of these materials. First, a method is developed to calculate the stress intensity factor of an edge crack in semi-infinite homogeneous media with distributed eigenstrain under a far-field uniform applied load. The crack is represented by the distribution of edge dislocation, and a singular integral equation with a Cauchy-type kernel is obtained using the complex potential functions of the edge dislocations. Second, a useful approximation method is established to simulate the nonhomogeneity of semiinfinite FGMs an equivalent eigenstrain. The stress intensity factor of the original semiinfinite FGMs is obtained by principle of superposition. By equating the stress intensity factor to the intrinsic fracture toughness of the FGMs, the apparent fracture toughness is calculated for prescribed composition profiles of the semi-infinite FGMs. Conversely, the composition profiles of prescribed apparent fracture toughness are also determined.
机译：在这项研究中，我们分析了半无限功能梯度材料（FGM）的成分分布，以期改善这些材料的脆性断裂特性。首先，研究了一种在远场均匀施加载荷下计算具有分布特征应变的半无限均质介质中边缘裂纹的应力强度因子的方法。裂纹由边缘位错的分布表示，并使用边缘位错的复数势函数获得具有柯西型核的奇异积分方程。其次，建立了一种有用的近似方法来模拟半无限FGM的等效特征应变。通过叠加原理求出了原始半无限FGM的应力强度因子。通过将应力强度因子等于FGM的固有断裂韧性，可以为半无限FGM的规定成分分布计算表观断裂韧性。相反，还确定了规定的表观断裂韧性的组成曲线。

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