The nonstationary processes are considered in a prestressed medium for the case of a sudden viscoelastic break in continuity under the conditions of longitudinal shear. It is assumed that the break proceeds along a semi-infinite strip coincident with the plane of maximum shear stresses. The problem is solved analytically in terms of displacements by the Wiener-Hopf method.

中文翻译：

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连续性突然中断的情况下应力介质中过程的数学建模

对于在纵向剪切条件下连续性突然发生粘弹性断裂的情况，可以在预应力介质中考虑非平稳过程。假定断裂沿着与最大剪切应力平面重合的半无限条带进行。该问题通过维纳-霍普夫（Wiener-Hopf）方法在位移方面得到了解析解决。