Abstract
The nonstationary problem of propagation of a longitudinal plane one-dimensional stress wave through a plane-parallel viscoelastic layer of finite thickness separating two linear elastic half-spaces with different properties is solved in the linear formulation. A plane wave traveling in one of the half-spaces is normally incident on the boundary of the layer (one-dimensional problem). The field in the other elastic half-space, excited as a result of the multiple reflection of the fronts from the boundaries of the layer, is investigated. Graphs of the small displacements at a given point of the elastic half-space are presented. The solution of the problem is based on the dynamic correspondence principle formulated by Bland [3].
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Literature cited
V. A. Ditkin and A. P. Prudnikov, Handbook of Operational Calculus [in Russian], Moscow (1965).
A. A. Kharkevich, Nonsteady Wave Effects [in Russian], Moscow-Leningrad (1950).
D. R. Bland, Theory of Linear Viscoelasticity, Pergamon (1960).
Kh. A. Rakhmatulin, Ya. U. Saatov, P. F. Sabodash, and I. G. Filippov, Two-Dimensional Problems in the Nonsteady Motion of Compressible Media [in Russian], Tashkent (1969).
Additional information
Central Scientific-Research Institute of Machine Building, Moscow. Translated from Mekhanika Polimerov, No. 1, pp. 151–156, January–February, 1971.
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Sabodash, P.F. Propagation of longitudinal viscoelastic waves in a three-layer medium. Polymer Mechanics 7, 124–128 (1971). https://doi.org/10.1007/BF00856626
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DOI: https://doi.org/10.1007/BF00856626