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JOURNALS // Sibirskii Zhurnal Industrial'noi Matematiki // Archive

Sib. Zh. Ind. Mat., 2024 Volume 27, Number 4, Pages 20–33 (Mi sjim1300)

Modeling of wave propagation in a blocky medium with thin viscoelastic interlayers in a spatial setting

E. A. Efimov

Institute of Computational Modeling of the Siberian Branch of the Russian Academy of Sciences, Krasnoyarsk, 660036 Russia

Abstract: A three-dimensional model of a blocky medium with elastic blocks and thin elastic and viscoelastic interlayers is considered. The interlayers are described by simplified differential-difference relations. A numerical algorithm for solving dynamical problems based on splitting method is presented. The results of simulation of wave propagation in blocky half-space are presented. We compare the behaviour of surface waves arising in a blocky layered medium and in a discrete periodic medium consisting of rigid masses connected to each other by elastic springs. Results of computations using the proposed model are in good agreement with the experimental data.

Keywords: blocky-layered medium, elastic block, thin interlayer.

UDC: 539.3

Received: 13.05.2024
Revised: 21.11.2024
Accepted: 11.12.2024

DOI: 10.33048/SIBJIM.2024.27.402


 English version:
Journal of Applied and Industrial Mathematics, 2024, 18:4, 656–668


© Steklov Math. Inst. of RAS, 2026