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首页> 外文期刊>Zeitschrift fur Angewandte Mathematik und Mechanik >ON THE INTERACTION BETWEEN CRACKS AND INCLUSIONS
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ON THE INTERACTION BETWEEN CRACKS AND INCLUSIONS

机译:裂纹与夹杂物之间的相互作用

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摘要

Analytical and numerical methods are presented which allow to predict the kinking angle of a semi-infinite crack in the vicinity of a thermally and elastically mismatched circular inclusion. In order to obtain this angle the maximum circumferential stress criterion will be evaluated. To this end the mixed-mode stress intensity factors (SIFs) at the crack tip must be known as functions of thermal and elastic mismatch as well as of geometry. They follow from solution of a system of singular integral equations for the dislocation densities which are used to model the crack. For arbitrary elastic mismatch and for an arbitrarily oriented crack only a numerical solution can be obtained. However, if the crack tip and the inclusion are sufficiently separated and if the elastic mismatch is not too large the integral equations can be solved analytically. Consequently, in this case closed-form solutions for the SIFs and for the kinking angle can be obtained.
机译:提出了分析和数值方法,可以预测热和弹性失配的圆形夹杂物附近的半无限裂纹的弯折角。为了获得该角度,将评估最大圆周应力准则。为此,必须将裂纹尖端的混合模式应力强度因子(SIF)称为热和弹性失配以及几何形状的函数。它们来自用于位错密度的奇异积分方程组的解,该位错密度用于模拟裂纹。对于任意的弹性失配和任意定向的裂纹,只能获得数值解。但是,如果裂纹尖端和夹杂物充分分开,并且弹性不匹配不太大,则可以解析地求解积分方程。因此,在这种情况下,可以获得SIF和扭折角的封闭式解。

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