ON THE BENDING OF PLATES WITH TRANSVERSE-SHEAR DEFORMATION AND MIXED PERIODIC BOUNDARY-CONDITIONS

Citation
C. Constanda et al., ON THE BENDING OF PLATES WITH TRANSVERSE-SHEAR DEFORMATION AND MIXED PERIODIC BOUNDARY-CONDITIONS, Mathematical methods in the applied sciences, 18(5), 1995, pp. 337-344
Citations number
7
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics
ISSN journal
01704214
Volume
18
Issue
5
Year of publication
1995
Pages
337 - 344
Database
ISI
SICI code
0170-4214(1995)18:5<337:OTBOPW>2.0.ZU;2-2
Abstract
The method of matched asymptotic expansions is used to find a homogeni zed problem whose solution is an approximation to the solution of a mi xed periodic boundary value problem in the theory of bending of thin e lastic plates. A critical size for the fixed parts of the boundary is found such that the boundary condition of the homogenized problem is a n intermediate case between that for the clamped edge plate and that f or the free boundary plate.