Symmetric bright solitary SH waves in a nonlinear heterogeneous plate

Küçük Resim Yok

Tarih

2019

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springer International Publishing Ag

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this work, we investigate the propagation of shear horizontal (SH) waves in a nonlinear hyperelastic plate. We assume that the plate is made of heterogeneous, isotropic, and generalized neo-Hookean materials. The problem is examined with a perturbation method that balances the nonlinearity and dispersion in the analysis. Then, a nonlinear Schrodinger (NLS) equation is derived describing the nonlinear self-modulation of the waves. Using known solutions of an NLS equation, we found that the symmetric bright solitary SH waves will exist and propagate in this plate. Moreover, not only the effect of the heterogeneity, but also the effect of the nonlinearity on the deformation field is also considered for these waves.

Açıklama

Anahtar Kelimeler

Nonlinear SH waves, Heterogeneous plate, Bright solitary SH waves

Kaynak

Zeitschrift Fur Angewandte Mathematik Und Physik

WoS Q Değeri

Q2

Scopus Q Değeri

Q1

Cilt

70

Sayı

2

Künye