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The Quarterly Journal of Mechanics and Applied Mathematics 1977 30(2):187-202; doi:10.1093/qjmam/30.2.187
© 1977 by Oxford University Press
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SOME EXISTENCE-UNIQUENESS RESULTS FOR PROBLEMS OF FINITE ELASTIC BENDING

P. CHADWICK and C. F. M. CREASY

( School of Mathematics and Physics, University of East Anglia Norwich )

Boundary-value problems are formulated for three universal deformations of incompressible isotropic elastic materials representing bending under the action of torques applied to surfaces which undergo no change of curvature. The equations which, in principle, determine the constants appearing in the equations specifying the deformation and the stress distribution are specialized by adopting Ogden's form of the strain-energy function. For each problem sufficient conditions for the existence of a unique solution are established and results for some materials of particular interest are discussed.


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