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The Quarterly Journal of Mechanics and Applied Mathematics 1992 45(4):711-732; doi:10.1093/qjmam/45.4.711
© 1992 by Oxford University Press
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FINITE DEFORMATIONS OF A FIBRE-REINFORCED CANTILEVER: DISTRIBUTED-LOAD SOLUTIONS

A. H. ENGLAND, T. G. ROGERS and I. D. R. BRADFORD

( Department of Theoretical Mechanics, University of Nottingham Nottingham NG7 2RD )

This paper considers the finite plane deformations of a cantilever beam composed of an elastic ideal fibre-reinforced material. The fibres are aligned along the beam. The cantilever is deformed by loads distributed over its lateral (upper and lower) surfaces. It is assumed that these forces either are ‘dead loads’ which do not change in magnitude or direction throughout the deformation, or that they act normally to the deformed lateral surfaces of the beam. In both cases solutions are derived using stationary-energy methods.


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