Open AccessLongitudinal shear waves in an elastic parallelepiped
Author(s) -
S Senashov,
I Savostyanova,
Olga A. Cherepanova
Publication year - 2022
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/1230/1/012017
Subject(s) - parallelepiped , boundary value problem , shear (geology) , longitudinal wave , mathematical analysis , set (abstract data type) , boundary (topology) , mathematics , physics , geometry , wave propagation , geology , computer science , optics , petrology , programming language
This article new solutions will be built which can in particular be used to describe shear waves appearing in the elastic parallelepiped of a finite size. This problem is reduced to three wave equations with two spatial variables. At that, arbitrary initial data will be set, and on the boundary any conditions can be set which belong to either the first, or the second, or the third, or the mixed boundary value problems.