TY - JOUR
T1 - Existence of solitary SH waves in a heterogeneous elastic two-layered plate
AU - Deliktas-Ozdemir, Ekin
AU - Ahmetolan, Semra
AU - Tuna, Dicle
N1 - Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.
PY - 2022/12
Y1 - 2022/12
N2 - 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.
AB - 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.
KW - Double layered media
KW - Heterogeneous materials
KW - Nonlinear elastic SH waves
UR - http://www.scopus.com/inward/record.url?scp=85139182288&partnerID=8YFLogxK
U2 - 10.1007/s00033-022-01854-1
DO - 10.1007/s00033-022-01854-1
M3 - Article
AN - SCOPUS:85139182288
SN - 0044-2275
VL - 73
JO - Zeitschrift fur Angewandte Mathematik und Physik
JF - Zeitschrift fur Angewandte Mathematik und Physik
IS - 6
M1 - 220
ER -