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Localization of Shear Waves Near Layers Separating Two Regularly Laminated Half-Spaces

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Abstract

The existence conditions for surface and normal shear waves in finite and infinite periodically laminated structures with broken translational symmetry are studied theoretically and numerically. The problems posed are reduced to systems of linear algebraic equations. The existence condition for their nontrivial solutions yield dispersion relations. Conditions for the existence of surface and normal shear waves are established. Some results are plotted. The dependence of the dispersion spectrum on the physical and geometrical properties of the symmetry breaker is studied

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev, Ukraine

    V. V. Levchenko

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  1. V. V. Levchenko
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Translated from Prikladnaya Mekhanika, Vol. 41, No. 1, pp. 128–134, January 2005.

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Levchenko, V.V. Localization of Shear Waves Near Layers Separating Two Regularly Laminated Half-Spaces. Int Appl Mech 41, 98–103 (2005). https://doi.org/10.1007/s10778-005-0064-x

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  • DOI: https://doi.org/10.1007/s10778-005-0064-x

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