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RUPTURE LINE IN A TWO-LAYER NON-COHESIVE MEDIUM

机译:两层非粘性介质中的破裂线

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References(1) The author presents the analytical and the graphical method for determination of the direction and of the stress in the rupture line on one side of the contact between two different non-cohesive media, provided that the following values are known : the shear angles of both media that are assumed to obey Coulomb's failure law, the dilatation angles of both media as well as the stress state and the direction of the failure line on the other side of the contact. The analytical solution has been deduced from the limiting equilibrium conditions for the prismatic contact element whose surfaces are formed by the strain characteristics of both media appearing in the narrow rupture zone in which-according to Bent Hansen-the line rupture develops. The graphical solution can be obtained by constructing the corresponding Mohr's stress circles. The analytical as well as the graphical solution can be used also in order to get the dilation angles provided that the directions of the rupture line at the contact and the magnitude of the normal stress in the contact were determined in appropriate model tests.
机译:参考文献(1)作者提供了用于确定两种不同非粘性介质之间接触一侧的断裂线上的方向和应力的分析方法和图形方法,只要已知以下值:假设两种介质都遵循库仑破坏定律,它们的膨胀角以及应力状态和接触另一侧的破坏线方向都将遵循库仑破坏定律。根据棱柱形接触元件的极限平衡条件推导出了解析解,该接触面的表面是由两种介质的应变特性形成的(根据本特·汉森的说法)出现在狭窄的破裂区域,线破裂发生。可以通过构造相应的莫尔应力圆来获得图形解决方案。如果在适当的模型测试中确定了接触点处的断裂线方向和接触点中法向应力的大小,则也可以使用解析解和图形解来获得膨胀角。

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