We study the problem of tension of a spherical shell reinforced by a flexible coating and weakened by a meridional crack. The coating is modeled by a hinge connecting the faces of the cut on one of the face surfaces of the shell. The stressed state near the crack tips and the distribution of the hinge reaction over the coating are determined by the method of singular integral equations. The limit state of the shell is analyzed with regard for the bounded strength of the coating.

中文翻译：

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柔性涂层对具有经向裂纹球壳极限平衡的影响

我们研究了由柔性涂层增强并被经向裂纹削弱的球壳的张力问题。涂层由连接壳表面之一上的切口面的铰链建模。裂纹尖端附近的受力状态和铰链反应在涂层上的分布由奇异积分方程的方法确定。根据涂层的有界强度分析壳的极限状态。