Low-frequency long-wave approximations of~the 3D~dynamic equations for~the~case of~double-layered viscoelastic plate

N. S. Anofrikova; M. V. Vil'de

Geodesic

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Low-frequency long-wave approximations of~the 3D~dynamic equations for~the~case of~double-layered viscoelastic plate

N. S. Anofrikova ; M. V. Vil'de

Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 4 (2012), pp. 115-121

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Résumé

The asymptotic methods developed to obtain low-frequency long-wave approximations of the 3D dynamic equations for the case of double-layered viscoelastic plate are described. The 2D equations for the leading tangential and transverse approximations of stress-strain state are derived. The method of asymptotic integration of exact 3D equations is applied.

Keywords: double-layered plate, viscoelasticity, asymptotic methods, low-frequency long-wave approximations.

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N. S. Anofrikova; M. V. Vil'de. Low-frequency long-wave approximations of~the 3D~dynamic equations for~the~case of~double-layered viscoelastic plate. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 4 (2012), pp. 115-121. http://geodesic.mathdoc.fr/item/VSGTU_2012_4_a10/