Effective boundary conditions for a straight thin-walled elastic inclusion of low contrast in the thin plate

Author

Matus, V.V. ; Kunets, Ya I. ; Porochovs´kyj, V.V. ; Mishchenko, V.O.

Author_Institution

Pidstryhach Inst. for Appl. Problems in Mech. & Math., Lviv, Ukraine

fYear

2011

fDate

26-29 Sept. 2011

Firstpage

193

Lastpage

195

Abstract

Effective boundary conditions for flexural waves scattering by a straight thin-walled inclusion of low contrast in a thin plate are considered. Explicit forms of the first-order approximate boundary conditions are derived using Kirchhoff plate theory. The methodology of investigation is based on the method of matched asymptotic expansions with the thickness-to-length ratio as the perturbation parameter.

Keywords

approximation theory; elastic waves; inclusions; plates (structures); structural engineering; Kirchhoff plate theory; first-order approximate boundary condition; flexural wave; low contrast inclusion; matched asymptotic expansion method; straight thin-walled elastic inclusion; thickness-to-length ratio parameter; thin plate; Approximation methods; Boundary conditions; Equations; Nonhomogeneous media; Scattering; Kirchhoff plate theory; effective boundary conditions; scattering of flexural waves; thin-walled inhomogeneity;

fLanguage

English

Publisher

ieee

Conference_Titel

Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED), 2011 XVth International Seminar/Workshop on

Conference_Location

Lviv

ISSN

pending

Print_ISBN

978-1-4577-0897-8

Type

conf

Filename

6081779