OSCILLATION PROBLEMS IN THIN PLATES WITH TRANSVERSE-SHEAR DEFORMATION

Citation
P. Schiavone et C. Constanda, OSCILLATION PROBLEMS IN THIN PLATES WITH TRANSVERSE-SHEAR DEFORMATION, SIAM journal on applied mathematics, 53(5), 1993, pp. 1253-1263
Citations number
23
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
00361399
Volume
53
Issue
5
Year of publication
1993
Pages
1253 - 1263
Database
ISI
SICI code
0036-1399(1993)53:5<1253:OPITPW>2.0.ZU;2-R
Abstract
In this paper, the authors present a modern theory of thin elastic pla tes with transverse shear deformation where the disturbance is represe nted by a train of harmonic waves. Dirichlet- and Neumann-type problem s are formulated together with appropriate radiation conditions (in th e case of the exterior domain). The paper shows that uniqueness for ex terior problems is guaranteed fora range of flexural waves. In the int erior problems, the presence of eigenfrequencies means that there is n o general uniqueness result. The paper also indicates how correspondin g results can be proved for micropolar plates.