SOME EXISTENCE-UNIQUENESS RESULTS FOR PROBLEMS OF FINITE ELASTIC BENDING
- 1 January 1977
- journal article
- Published by Oxford University Press (OUP) in The Quarterly Journal of Mechanics and Applied Mathematics
- Vol. 30 (2) , 187-202
- https://doi.org/10.1093/qjmam/30.2.187
Abstract
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.Keywords
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