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Analytical Solution of Non-stationary Waves Propagation in Viscoelastic Layer Problem


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Abstract

Analytical solution of one-dimensional non-stationary waves propagation in linear viscoelastic layer problem using different methods is obtained. For hereditary layer material properties description physical relation of linear viscoelasticity in integral form is used and it is supposed that relaxation kernel has exponential form. Layer displacement calculation results for concrete initial data are represented.

About the authors

E. A. Korovaytseva

Research Institute of Mechanics

Author for correspondence.
Email: katrell@mail.ru
Russian Federation, Moscow, 119192

S. G. Pshenichnov

Research Institute of Mechanics

Author for correspondence.
Email: serp56@yandex.ru
Russian Federation, Moscow, 119192

D. V. Tarlakovskii

Research Institute of Mechanics; Moscow Aviation Institute

Author for correspondence.
Email: tdvhome@mail.ru
Russian Federation, Moscow, 119192; Moscow, 125993

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