SH waves in a weakly inhomogeneous half space with a nonlinear thin layer coating
SH waves in a weakly inhomogeneous half space with a nonlinear thin layer coating
Dosyalar
Tarih
2024
Yazarlar
Ahmetolan, Semra
Demirci, Ali
Peker-Dobie, Ayşe
Özdemir, Neşe
Süreli Yayın başlığı
Süreli Yayın ISSN
Cilt Başlığı
Yayınevi
Springer
Özet
We investigate the self-modulation of Love waves propagating in a nonlinear half-space covered by a nonlinear layer. We assume that the constituent material of the layer is nonlinear, homogeneous, isotropic, compressible, and hyperelastic, whereas for the half-space, it is nonlinear, heterogeneous, compressible and a different hyperelastic material. By employing the nonlinear thin layer approximation, the problem of wave propagation in a layered half-space is reduced to the one for a nonlinear heterogeneous half-space with a modified nonlinear homogeneous boundary condition on the top surface. This new problem is analyzed by a relevant perturbation method, and a nonlinear Schrödinger (NLS) equation defining the self-modulation of waves asymptotically is obtained. The dispersion relation is derived for different heterogeneous properties of the half-space and the thin layer. Then the results of the thin layer approximation are compared with the ones for the finite layer obtained in Teymur et al. (Int J Eng Sci 85:150–162, 2014). The solitary solutions of the derived NLS equation are obtained for selected real material models. It has been discussed how these solutions are influenced by the heterogeneity of the semi-infinite space.
Açıklama
Anahtar kelimeler
nonlinear elasticity,
weak inhomogeneity,
shear waves,
solitary waves
Alıntı
Ahmetolan, S., Demirci, A., Peker-Dobie, A. and Ozdemir, N. (2024). "SH waves in a weakly inhomogeneous half space with a nonlinear thin layer coating". Zeitschrift für angewandte Mathematik und Physik. 75, no.68. https://doi.org/10.1007/s00033-024-02213-y