Abstract A method is developed for solving the transient problem of the sudden appearance of an infinite row of parallel cracks in a stretched medium of saturated porous material. The general equations of Biot’s theory in conjunction with the integral and Laplace transforms are used to reduce the problem to that of solving the Fredholm integral equation. The numerical results in terms of the Mode I dynamic stress intensity factor k1 are computed for various ratios of the crack width to crack spacing to determine the interaction effect of neighboring cracks. The influence of pore fluid on the dynamic stress intensity factor is investigated by varying the values of viscosity-to-permeability ratio, and the obtained results are compared with those of the corresponding dry medium.

中文翻译：

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饱和多孔介质中无限长平行裂纹的瞬态响应

摘要 提出了一种求解饱和多孔材料拉伸介质中突然出现无限长平行裂纹的瞬态问题的方法。Biot 理论的一般方程与积分和拉普拉斯变换相结合，用于将问题简化为求解 Fredholm 积分方程的问题。对于裂纹宽度与裂纹间距的各种比率，计算模式 I 动态应力强度因子 k1 方面的数值结果，以确定相邻裂纹的相互作用。通过改变粘渗比值研究了孔隙流体对动应力强度因子的影响，并将所得结果与相应干介质的结果进行了比较。