A NONLINEAR ELASTIC PLATE MODEL OF MODERATE THICKNESS - EXISTENCE, UNIQUENESS AND DUALITY

Citation
Wr. Bielski et Jj. Telega, A NONLINEAR ELASTIC PLATE MODEL OF MODERATE THICKNESS - EXISTENCE, UNIQUENESS AND DUALITY, Journal of elasticity, 42(3), 1996, pp. 243-273
Citations number
35
Categorie Soggetti
Engineering,"Material Science
Journal title
ISSN journal
03743535
Volume
42
Issue
3
Year of publication
1996
Pages
243 - 273
Database
ISI
SICI code
0374-3535(1996)42:3<243:ANEPMO>2.0.ZU;2-S
Abstract
Three problems are solved for a nonlinear model of elastic plates with transverse shear deformations. The material of the plate may be aniso tropic. An existence theorem is formulated and proved for a class of b oundary conditions. A uniqueness theorem is given for small loadings. The dual problem is derived and the minimax or Lagrangian approach is discussed.