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Mixed boundary value problems for Rayleigh wave in a half‐plane with cubic anisotropy
Author(s) -
Şahin Onur
Publication year - 2021
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.202000171
Subject(s) - isotropy , mathematical analysis , anisotropy , boundary value problem , plane (geometry) , symmetry (geometry) , mathematics , constant (computer programming) , geometry , boundary (topology) , physics , classical mechanics , optics , computer science , programming language
The paper deals with mixed boundary value problems in an elastic half‐plane with cubic symmetry. The formulation of the problem depends on an asymptotic model derived for anisotropic materials. It is demonstrated that defining the displacements in terms of a pair of plane harmonic functions reduces the problem to a classical isotropic form, which can be formulated within the framework of the asymptotic hyperbolic–elliptic model developed for isotropic materials. As an example, a semi‐infinite rigid stamp moving at a constant speed along the surface is considered.