Existence of solitary SH waves in a heterogeneous elastic two-layered plate

Ekin Deliktas-Ozdemir; Semra Ahmetolan; Dicle Tuna

doi:10.1007/s00033-022-01854-1

Existence of solitary SH waves in a heterogeneous elastic two-layered plate

Ekin Deliktas-Ozdemir^*, Semra Ahmetolan, Dicle Tuna

^*Corresponding author for this work

Department of Mathematics Engineering

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

The asymptotic solution of a boundary value problem modelling the propagation of nonlinear shear horizontal (SH) waves in a plate consisting of two layers with uniform thickness is constructed by employing the multiple scales method. Constituent materials in layers are isotropic, vertically heterogeneous, and have different hyperelastic mechanical properties. The nonlinear modulation of SH waves is governed asymptotically by a nonlinear Schrödinger equation. The effects of heterogeneity of the nonlinear layers on the existence of bright solitary SH waves are discussed.

Original language	English
Article number	220
Journal	Zeitschrift fur Angewandte Mathematik und Physik
Volume	73
Issue number	6
DOIs	https://doi.org/10.1007/s00033-022-01854-1
Publication status	Published - Dec 2022

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Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

Keywords

Double layered media
Heterogeneous materials
Nonlinear elastic SH waves

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10.1007/s00033-022-01854-1

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abstract = "The asymptotic solution of a boundary value problem modelling the propagation of nonlinear shear horizontal (SH) waves in a plate consisting of two layers with uniform thickness is constructed by employing the multiple scales method. Constituent materials in layers are isotropic, vertically heterogeneous, and have different hyperelastic mechanical properties. The nonlinear modulation of SH waves is governed asymptotically by a nonlinear Schr{\"o}dinger equation. The effects of heterogeneity of the nonlinear layers on the existence of bright solitary SH waves are discussed.",

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AU - Tuna, Dicle

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AB - The asymptotic solution of a boundary value problem modelling the propagation of nonlinear shear horizontal (SH) waves in a plate consisting of two layers with uniform thickness is constructed by employing the multiple scales method. Constituent materials in layers are isotropic, vertically heterogeneous, and have different hyperelastic mechanical properties. The nonlinear modulation of SH waves is governed asymptotically by a nonlinear Schrödinger equation. The effects of heterogeneity of the nonlinear layers on the existence of bright solitary SH waves are discussed.

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KW - Nonlinear elastic SH waves

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Existence of solitary SH waves in a heterogeneous elastic two-layered plate

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