The stress intensity factors for a periodic array of interacting coplanar penny-shaped cracks.
The stress intensity factors for a periodic array of interacting coplanar penny-shaped cracks.
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DOI：
10.1016/j.ijsolstr.2012.09.018
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发表时间：
2013-01-01
影响因子：
3.6
通讯作者：
Seghi RR
中科院分区：
文献类型：
--
作者：
Lekesiz H;Katsube N;Rokhlin SI;Seghi RR
研究了共面硬币形裂纹周期阵列中裂纹相互作用对应力强度因子的影响。Kachanov裂纹相互作用的近似方法（Int. J. Solid. Struct.1987; 23（1）：23-43）来分析六边形和正方形裂纹构型。在近似裂纹相互作用时，当裂纹的总截断数为109时，解收敛。正如预期的那样，由于高密度堆积，六角构型中的裂纹相互作用比正方构型中的强。基于数值计算结果，方便的拟合方程的模式I应力强度因子的快速评估得到的裂纹密度和裂纹边缘周围的角度的函数的两个裂纹配置。在泊松比ν =0.3的情况下，以等值线的形式给出了II型和III型应力强度因子的数值结果。由于Kachanov的近似方法，这些问题可能产生的误差进行了估计。与文献中有限的结果，并通过不同的方法获得良好的协议。
The effect of crack interactions on stress intensity factors is examined for a periodic array of coplanar penny-shaped cracks. Kachanov’s approximate method for crack interactions (Int. J. Solid. Struct. 1987; 23(1):23–43) is employed to analyze both hexagonal and square crack configurations. In approximating crack interactions, the solution converges when the total truncation number of the cracks is 109. As expected, due to high density packing crack interaction in the hexagonal configuration is stronger than that in the square configuration. Based on the numerical results, convenient fitting equations for quick evaluation of the mode I stress intensity factors are obtained as a function of crack density and angle around the crack edge for both crack configurations. Numerical results for the mode II and III stress intensity factors are presented in the form of contour lines for the case of Poisson’s ratio ν =0.3. Possible errors for these problems due to Kachanov’s approximate method are estimated. Good agreement is observed with the limited number of results available in the literature and obtained by different methods.