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The Quarterly Journal of Mechanics and Applied Mathematics 2000 53(3):497-510; doi:10.1093/qjmam/53.3.497
© 2000 by Oxford University Press
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The classical approach to dual methods for plates

IGOR CHUDINOVICH1, CHRISTIAN CONSTANDA2 and ALEXANDER KOSHCHII3

( 1 Department of Mathematics and Mechanics, Kharkov University, Kharkov, Ukraine 2 Department of Mathematics, University of Strathclyde, Glasgow G1 1XH 3 Department of Mathematics and Mechanics, Kharkov University, Kharkov, Ukraine )

Dirichlet, Neumann and mixed boundary-value problems are studied for thin elastic plates with transverse shear deformation on an elastic foundation. The aim is to construct dual problems that make it possible to obtain bilateral error estimates for approximate solutions. In the absence of an elastic foundation, the dual functionals are maximized in function spaces whose elements satisfy certain differential restrictions. The theory is illustrated by means of a numerical example.

Received 5 November, 1998. Revised 23 November, 1999.


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I. Chudinovich, C. Constanda, D. Doty, and A. Koshchii
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Q J Mechanics Appl Math, February 1, 2006; 59(1): 125 - 137.
[Abstract] [Full Text] [PDF]


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