Cohesive zone model with dilation for brittle and quasi-brittle cracking interfaces
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摘要: 根据界面剪胀与Ⅱ型断裂能间的关系，给出构造含剪胀效应张力-位移关系的新途径，该方法先假定Ⅱ型张力-位移关系，再计算界面剪胀函数，从而更易于应用。通过定义基于能量和界面不连续位移的4个损伤变量，给出含剪胀效应的损伤张力-位移关系表示形式，使模型不仅能模拟单调加载问题，而且可模拟反复加载问题。对界面在受压状态下的切向粘结强度、法向位移和摩擦作用分别进行了讨论，给出了相应的计算方法或取值建议。最后通过一个张力-位移关系的实例讨论了界面压力作用、复合模式开裂、卸载-再加载行为和接触罚刚度对法向位移的影响等模型性质。Abstract: According to the relationship between interface dilation and mode Ⅱfracture energy, a new way of constructing traction-separation law with dilation was presented. The method, by first assuming the mode Ⅱ traction-separation relationship, and then deriving the interface dilation, was easier to apply. Defining four damage variables based on the interface separation and fracture energy, traction-separation laws with dilation considering damage effects were further given. This enables the model to simulate not only the monotonic loading problems but also reversed loading problems. In addition, interface tangential bonding strength, normal separation, and friction effect under interfacial pressure were discussed respectively, which led to corresponding computing methods or recommended value. Finally, an example of traction-separation law with dilation considering damage was proposed. Utilizing finite element method, interface pressure, mixed mode effect, unloading and reloading behavior, and effects of contact penalty stiffness on normal separation were investigated thoroughly.
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