中文摘要：

节理间的相互作用导致了节理扩展模式的分叉。利用伪力法考虑了压应力状态下共线节理之间的相互作用,提出利用节理的扩展长度和间距之比来确定共线节理发生分叉的条件。当节理的扩展长度和间距之比大于临界值时,共线节理扩展模式发生分叉;当节理的扩展长度和间距之比小于临界值时,共线节理扩展模式不发生分叉。该文从理论上研究了两条和无限多条共线节理在压应力状态下的分叉问题,并且获得了封闭形式的理论解。

英文摘要：

The bifurcation of crack patterns is induced by crack-crack interactions. The interactions among cracks are studied by using pseudo-traction method. The bifurcation condition of crack growth patterns can be expressed by the crack length/spacing ratio. The crack-crack interaction will lead to the bifurcation of crack growth patterns if the crack length/spacing ratio is larger than the critical crack size/spacing ratio. The crack-crack interaction will not lead to the bifurcation of crack growth patterns if the crack length/spacing ratio is smaller than the critical crack size/spacing ratio. Bifurcation conditions for arrays of two parallel cracks and arrays of infinite arrays of parallel cracks subjected to compressive stresses are analyzed from the theoretical point of view. The results are the closed-form theoretical solutions.