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Influence of rapidly time-varying boundary conditions on the control of two-dimensional elastic pulses in laminates

Arkadi Berezovski and Mihhail Berezovski
Vol. 11 (2023), No. 3, 335–348
DOI: 10.2140/memocs.2023.11.335
Abstract

We investigate the ability of rapidly changing lateral boundary conditions to change the rate of dispersion and attenuation of an elastic pulse without changing the composite’s material parameters. It is easier to tune wave propagation in composites by using time-varying boundary conditions rather than changing the material properties of solid materials. Numerical simulations of the pulse propagation in two-dimensional inhomogeneous elastic laminate demonstrate that observed stress distribution patterns differ significantly from those for time-independent boundary conditions.

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Keywords
elastic wave propagation, finite volume method, bimaterial composites, time-varying boundary conditions
Mathematical Subject Classification
Primary: 74Hxx, 74Jxx
Secondary: 74Sxx
Milestones
Received: 29 August 2022
Revised: 3 January 2023
Accepted: 1 February 2023
Published: 15 November 2023

Communicated by Victor A. Eremeyev
Authors
Arkadi Berezovski
Department of Cybernetics, School of Science
Tallinn University of Technology
Tallinn
Estonia
Mihhail Berezovski
Department of Mathematics
Embry–Riddle Aeronautical University
Daytona Beach, FL
United States
© 2023 MSP (Mathematical Sciences Publishers).