接触裂缝板材极限弯曲载荷的双面估算策略

Ivan Shatskyi, Taras Dalyak, Mykola Makoviichuk, Vasyl Perepichka
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引用次数: 0

摘要

考虑到缺陷面的接触,研究了由直线贯穿裂纹削弱的板材弯曲问题。在沿线裂缝闭合模型的框架内,对之前通过经典板材理论获得的分析解进行了详细分析。根据力和力矩强度因子的数据,恢复了整个板厚的应力强度因子分布。我们特别关注断裂弯曲载荷值的确定问题。在弯曲条件下,具有非均匀受力面的裂纹的扩展过程包括两个阶段:当载荷达到下限值时,裂纹在其厚度上的不规则一致增长;当载荷达到上限值时,裂纹的不稳定扩展。利用线性断裂力学的力和能量准则对这些极限值进行了分析估计。作者在确定无限和半无限板中某些接触裂纹系统的极限弯曲载荷方面的经验也得到了说明。
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A tactic of two-side estimates of limiting bending loads for plates with contact cracks

The problem of plate bending, weakened by rectilinear through crack, taking into account the contact of defect faces is considered. A detailed analysis of the analytical solution obtained previously by the classical theories of the plates within the framework of a model of crack closure along the line is performed. According to the data for intensity factors of forces and moments, the distribution of stress intensity factor across the plate thickness has been restored. We pay particular attention to the problem of determining the value of the fracture bending load. Process of propagation of the crack with non-uniformly stressed front in conditions of bending consists of two stages: irregular over its thickness consistent growth of the crack when load reaches its lower limiting value and unstable propagation of the crack when load reaches its upper limiting value. Analytical estimates of such limiting values are made using of the force and energy criteria of linear mechanics of fracture. The authors’ experience with the determine the limiting bending loads for some contact cracks systems in infinite and semi-infinite plate sis illustrated too.

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