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On the propagation of Lamb waves in a sandwich plate made of compressible materials with finite initial strains
Authors:S. D. Akbarov  A. D. Zamanov  E. R. Agasiyev
Affiliation:(1) Yildiz Technical University, Davutpasa campus No 127, 34210 Topkapi, Istanbul, Turkey;(2) Institute Mathematics and Mechanics NAS of Azerbaijan, Institute of Mathematics and Mechanics of National Academy of Sciences of Azerbaijan, AZ-1141, F. Agayev St. 9, Baku, Azerbaijan;(3) Azerbaijan University of Architecture and Construction, Baku, Azerbaijan
Abstract:The propagation of flexural Lamb waves in a prestrained sandwich plate made from compressible highly elastic materials is investigated within the scope of a piecewise homogeneous body model by utilizing TLTEWISB. The mechanical relations of layer materials are described by a harmonic-type potential, and numerical results are obtained for the first and second vibration modes. According to the results, the influence of problem parameters and of the initial stretching strain along the layers on the wave propagation speed is examined. The asymptotic values of the speed are considered in the cases of short and long wavelengths, and the influence of the initial strains on these asymptotic (limit) values are also analyzed. Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 44, No. 2, pp. 231–244, March–April, 2008.
Keywords:Lamb waves  initial strains  sandwich plate  wave dispersion  compressible material
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