AN ASYMPTOTIC THEORY FOR NONLINEAR ANALYSTS OF MULTILAYERED ANISOTROPIC PLATES

Authors
Citation
Jq. Tarn, AN ASYMPTOTIC THEORY FOR NONLINEAR ANALYSTS OF MULTILAYERED ANISOTROPIC PLATES, Journal of the mechanics and physics of solids, 45(7), 1997, pp. 1105-1120
Citations number
21
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Physics, Condensed Matter",Mechanics
ISSN journal
0022-5096
Volume
45
Issue
7
Year of publication
1997
Pages
1105 - 1120
Database
ISI
SICI code
0022-5096(1997)45:7<1105:AATFNA>2.0.ZU;2-K
Abstract
An asymptotic theory for nonlinear analysis of multilayered anisotropi c plates is developed on the basis of three-dimensional nonlinear elas ticity without making a priori assumptions or omitting any nonlinear t erms in the formulation. The laminated plate is regarded as an anisotr opic heterogeneous plate with material properties varying in the thick ness direction. Reformulation and nondimensionalization of the 3D equa tions of nonlinear elasticity reveal that the analysis can be carried out by means of asymptotic expansion and successive integration. It is shown that the von Karman nonlinear theory of laminated plates arises naturally as the first-order approximation to the 3D theory. Higher-o rder corrections can be determined systematically. In the formulation the boundary conditions on the top and bottom surfaces of the plate ar e satisfied and appropriate edge conditions associated with each level are derived. The theory accounts for the nonlinear effects in an adap tive and hierarchic way. There is no need to treat the system layer by layer or to consider the interfacial continuity conditions in particu lar. (C) 1997 Elsevier Science Ltd.