Title :
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
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;
Conference_Titel :
Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED), 2011 XVth International Seminar/Workshop on
Conference_Location :
Lviv
Print_ISBN :
978-1-4577-0897-8
