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- Title
Non-classical dual methods in equilibrium problems for thin elastic plates.
- Authors
CHUDINOVICH, I.; CONSTANDA, C.; DOTY, D.; KOSHCHII, A.
- Abstract
A dual functional is constructed for the Dirichlet problem for plates with transverse shear deformation, which makes it possible to obtain bilateral error estimates for approximate solutions. In the absence of an elastic foundation, the classical dual functional is maximized in spaces of functions that satisfy certain differential restrictions. The non-classical dual functional proposed here is maximized in spaces of functions with no such restrictions, regardless of whether or not an elastic foundation is present. A numerical example is given to illustrate the efficiency of this dual method.
- Subjects
EQUILIBRIUM; ELASTIC plates &; shells; DEFORMATIONS (Mechanics); MATHEMATICS; MECHANICS (Physics)
- Publication
Quarterly Journal of Mechanics & Applied Mathematics, 2006, Vol 59, Issue 1, p125
- ISSN
0033-5614
- Publication type
Article
- DOI
10.1093/qjmam/hbi034