Abstract

A model of fracturing of an interface between dissimilar materials in the presence of a section of weakened bonds between materials is considered. Such a section is modeled by a crack, between the faces of which adhesion forces act, depending on the crack opening. The size of the interaction zone of the crack faces (bridged zone) can change during the crack growth and is not small compared to the crack size. To analyze the quasi-static growth of a crack with an bridged zone filled with bonds, a nonlocal fracture criterion is used, taking into account the work on deformation of the bonds in the bridged zone of the crack. The state of limiting equilibrium of the crack tip corresponds to the energy condition of the equality of the rate of deformation energy release at the crack tip and the rate of deformation energy consumption by bonds in the bridged zone of the crack (the first fracture condition). The breaking of bonds at the trailing edge of the bridged zone is determined by the condition of their limiting stretching (the second fracture condition). Proceeding from these two conditions, the modes of subcritical and quasi-static crack growth are considered and two main parameters of fracture are determined, that is, the critical external load and the size of the tip region of the crack in the state of ultimate equilibrium.

中文翻译：

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材料间界面的抗裂性分析

摘要

考虑在材料之间存在弱结合部分的情况下，异种材料之间的界面断裂的模型。这样的截面是由裂缝建模的，取决于裂缝的开度，在裂缝的表面之间会产生附着力。裂纹面相互作用区域（桥接区域）的大小在裂纹扩展过程中可能会发生变化，并且与裂纹大小相比并不小。为了分析带有填充键的桥接区域的裂纹的准静态增长，使用了非局部断裂准则，并考虑了裂纹在桥接区域中的键变形工作。裂纹尖端的极限平衡状态对应于裂纹尖端的形变能量释放速率与裂纹桥接区域中的键结合的形变能量消耗速率相等的能量条件（第一个断裂条件） 。在桥接区尾端的键断裂取决于其极限拉伸的条件（第二断裂条件）。从这两个条件出发，考虑了亚临界和准静态裂纹扩展的方式，确定了两个主要的断裂参数，即极限平衡状态下的临界外载荷和裂纹尖端区域的大小。 。在桥接区尾端的键断裂取决于其极限拉伸的条件（第二断裂条件）。从这两个条件出发，考虑了亚临界和准静态裂纹扩展的方式，确定了两个主要的断裂参数，即极限平衡状态下的临界外载荷和裂纹尖端区域的大小。 。在桥接区尾端的键断裂取决于其极限拉伸的条件（第二断裂条件）。从这两个条件出发，考虑了亚临界和准静态裂纹扩展的方式，确定了两个主要的断裂参数，即极限平衡状态下的临界外载荷和裂纹尖端区域的大小。 。