Antisymmetric bright solitary SH waves in a nonlinear heterogeneous plate
Küçük Resim Yok
Tarih
2018
Yazarlar
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