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

被引：5

作者：

Deliktas-Ozdemir, Ekin ^{[1
]}

Ahmetolan, Semra ^{[2
]}

Tuna, Dicle ^{[2
]}

机构：

[1] Piri Reis Univ, Fac Engn, Dept Naval Architecture & Marine Engn, TR-34940 Istanbul, Turkey

[2] Istanbul Tech Univ, Fac Sci & Letters, Dept Math, TR-34469 Istanbul, Turkey

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2022年 / 73卷 / 06期

关键词：

Nonlinear elastic SH waves; Double layered media; Heterogeneous materials; SHEAR HORIZONTAL WAVES; FINITE-AMPLITUDE WAVES; LOVE WAVES; NONLINEAR MODULATION; PROPAGATION;

D O I：

10.1007/s00033-022-01854-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 Schrodinger equation. The effects of heterogeneity of the nonlinear layers on the existence of bright solitary SH waves are discussed.

引用

页数：17

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