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Antiplane shear impact of multiple coplanar Griffith cracks in an isotropic functionally graded strip

机译:各向同性功能梯度钢带中多个共面格里菲斯裂缝的反平面剪切冲击

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摘要

The antiplane shear impact response of multiple coplanar Griffith cracks in a functionally graded strip is studied. Laplace transform, Fourier transform and dislocation density functions are introduced to reduce the problem to a Cauchy singular integral equation, which can be numerically solved to calculate the dynamic stress intensity factor. The effects of nonhomogeneity of material, width of strip and relative position of cracks on the dynamic fracture behaviors are investigated. The peak of the dynamic stress intensity factor can be suppressed by increasing the shear modulus' gradient. If the strip is thinner, increasing the strip's width can also reduce the peak value of the dynamic stress intensity factor. The present results have potential, both theoretical and applied, in structural design and the prevention of structure failure.
机译:研究了功能梯度钢带中多个共面格里菲斯裂纹的反平面剪切冲击响应。引入了拉普拉斯变换,傅里叶变换和位错密度函数,以将问题简化为柯西奇异积分方程,可以对其进行数值求解以计算动应力强度因子。研究了材料的不均匀性,带材的宽度和裂纹的相对位置对动态断裂行为的影响。动应力强度因子的峰值可以通过增加剪切模量的梯度来抑制。如果条带较薄,则增加条带的宽度也可以减小动应力强度因子的峰值。目前的结果在结构设计和预防结构破坏方面具有理论和应用潜力。

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