Bifurcation condition of crack pattern in the periodic rectangular array |
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Authors: | X.P. Zhou Q.H. Qian H.Q. Yang |
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Affiliation: | aSchool of Civil Engineering, Chongqing University, Chongqing 40045, PR China |
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Abstract: | Bifurcation condition of crack pattern in the periodic rectangular array plays an important role in determining the final failure pattern of rock material. An approximation for the critical crack size/spacing ratio is established for a uniformly growing periodic rectangular array yields to a non-uniform growing pattern of crack growth. Numerical results show that the critical crack size/spacing ratio λcr depends on the number of cracks, the crack spacing, the perpendicular distance between two adjacent rows, as well as the loading conditions. In general, λcr increases with the number of lines. It is observed that the critical crack size/spacing ratio λcr for the periodic rectangular array decreases with an increase in the perpendicular distance between two adjacent rows. It is clear that the critical crack size/spacing ratio λcr for the periodic rectangular array under shear stress increases with increasing the crack spacing. |
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Keywords: | The periodic rectangular array Bifurcation Crack interaction |
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