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

被引：0
|
作者：
Ekin Deliktas-Ozdemir
Semra Ahmetolan
Dicle Tuna
机构：
[1] Piri Reis University,Department of Naval Architecture and Marine Engineering, Faculty of Engineering
[2] İstanbul Technical University,Department of Mathematics, Faculty of Science and Letters
来源：
Zeitschrift für angewandte Mathematik und Physik | 2022年 / 73卷
关键词：
Nonlinear elastic SH waves; Double layered media; Heterogeneous materials; 35C20; 74E05; 74K20; 74J35;
D O I：
暂无
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学科分类号：
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 Schrödinger equation. The effects of heterogeneity of the nonlinear layers on the existence of bright solitary SH waves are discussed.
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