Variational principles for stiffnesses of a nonhomogeneous plate

Authors
Kolpakov, AG
Citation
Ag. Kolpakov, Variational principles for stiffnesses of a nonhomogeneous plate, J MECH PHYS, 47(10), 1999, pp. 2075-2092
Citations number
21
Categorie Soggetti
Mechanical Engineering
Journal title
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
ISSN journal
00225096 → ACNP
Volume
47
Issue
10
Year of publication
1999
Pages
2075 - 2092
Database
ISI
SICI code
0022-5096(199910)47:10<2075:VPFSOA>2.0.ZU;2-1
Abstract
Lagrange- and Castigliano-type variational principles for a non-homogeneous plate of periodic structure are derived on the basis of the homogenization method. The obtained principles provide, in particular, Voigt-Reuss-like b ounds for the stiffnesses. (C) 1999 Elsevier Science Ltd. All rights reserv ed.