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Stress intensity factors around a moving Griffith crack in a non-homogeneous layer between two dissimilar elastic half-planes

机译:两个不同弹性半平面之间非均匀层中移动的Griffith裂纹周围的应力强度因子

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摘要

Stresses are determined in the vicinity of a propagating finite crack having a constant velocity in a non-homogeneous elastic layer sandwiched between two dissimilar elastic half-planes. The self-equilibrated system of pressure is applied to the crack surfaces. Application of the Fourier transform technique reduces the problem to that of solving dual integral equations. In order to solve the equations, the differences in the crack surface displacements are expanded in a series of functions that are equal to zero outside the crack. The unknown coefficients in the series are solved by the Schmidt method. The stress intensity factors are calculated numerically for a crack in a non-homogeneous layer between a half-plane made of epoxy resin and a half-plane made of aluminum.
机译:在夹在两个不同弹性半平面之间的非均质弹性层中,在具有恒定速度的传播有限裂纹附近确定应力。自平衡压力系统施加到裂缝表面。傅里叶变换技术的应用将问题简化为求解对偶积分方程的问题。为了求解方程,裂纹表面位移的差异被扩展为一系列在裂纹外部等于零的函数。该序列中的未知系数通过Schmidt方法求解。对于由环氧树脂制成的半平面和由铝制成的半平面之间的不均匀层中的裂纹,通过数值计算应力强度因子。

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