Third M.I.T. Conference on Computational Fluid and Solid Mechanics June 14–17, 2005  

Some solutions to the asymptotic bending problem of non-inhibited shells

Daniel Choï*
Laboratoire de Mathématiques Nicolas Oresme, Université de Caen, 14032 Caen, France

  Full Text
This paper studies the asymptotic limit bending problem of thin linearly elastic shells as the thickness goes to zero. Such asymptotic bending problem makes sense whenever bending problems are admissible. Two alternate expressions of the change of curvature tensor are presented, giving new formulations for the asymptotic bending problem. In the case of cylinders and hyperbolic surfaces, we present some solutions, including analytic solutions. Such solutions can constitute tests for membrane locking.

Keywords:  Non-inhibited shell; Asymptotic bending problem; Inextensional displacement; Membrane locking

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