Antisymmetric bright solitary SH waves in a nonlinear heterogeneous plate

Küçük Resim Yok

Tarih

2018

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springer International Publishing Ag

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

The propagation of nonlinear shear horizontal (SH) waves in an incompressible hyper-elastic plate of uniform thickness is investigated. It is assumed that the plate is made of heterogeneous, isotropic, and generalized neo-Hookean materials. By applying the method of multiple scales, a nonlinear Schrodinger (NLS) equation is derived describing the nonlinear self modulation of the waves. As a result of known solutions of an NLS equation, it is found that the antisymmetric 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 discussed 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

Q1

Scopus Q Değeri

Q1

Cilt

69

Sayı

5

Künye