A shell model allowing folds

S. Anicic
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S. Anicic: Université Joseph Fourier, LMC-IMAG

A chapter in Numerical Mathematics and Advanced Applications, 2003, pp 317-326 from Springer

Abstract: Summary Starting from the Kirchhoff-Love model, we formulate a new thin shell model in linearized elasticity which can be applied to folded shells. The presence of a fold is solely characterized by an additonal constraint in the variational space. The strain energy contains a membrane-bending coupling term and a new bending strain tensor χαβ(u) which measures the infinitesimal variations of the principal curvatures of a surface. We establish a uniqueness and existence result for shells whose midsurfaces are of class G 1 , which includes curvature discontinuities. We give explicit relative error estimates, which are of order h 2 ,on the difference between the solution of our model and the solution of the Kirchhoff-Love shell model.

Keywords: Shell Model; Principal Curvature; Covariant Component; Christoffel Symbol; Vector Displacement Field (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-88-470-2089-4_29

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DOI: 10.1007/978-88-470-2089-4_29

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