Abstract
The linear theory of Cosserat surfaces is employed to study Saint-Venant's problem for cylindrical shells of arbitrary cross-section. We prove minimum energy characterizations for the solution of the relaxed Saint-Venant's problem previously obtained. Then, we determine the global measures of strain appropriate to extension, bending, torsion and flexure for certain classes of solutions to the relaxed problem.
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Mathematics Subject Classifications (2000)
74K25, 74G05.
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BÎrsan, M. Minimum Energy Characterizations for the Solution of Saint-Venant's Problem in the Theory of Shells. J Elasticity 81, 179–204 (2005). https://doi.org/10.1007/s10659-005-9012-6
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DOI: https://doi.org/10.1007/s10659-005-9012-6