Mathematical Modeling of Processes in a Stressed Medium for the Case of a Sudden Break in Continuity


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Abstract

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.

About the authors

A. S. Kim

National Center of Space Research and Technology

Author for correspondence.
Email: kim.as@mail.ru
Kazakhstan, ul. Shevchenko 59, Almaty, 050010

Yu. R. Shpadi

National Center of Space Research and Technology

Author for correspondence.
Email: yu-shpadi@yandex.ru
Kazakhstan, ul. Shevchenko 59, Almaty, 050010

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