2. Benchmark solution#

This solution [bib4] is the one obtained with the SAMCEF [bib1] software. The modeling is based on a shell theory in resultant efforts with a co-rotational formulation [bib3] and a discretization DSQ [bib2].

_images/Object_11.svg

The mesh considered is

_images/Object_12.svg

quadrilateral elements.

Newton’s strategy with imposed force level illustrates a difficulty of convergence. We push the calculation up to

_images/Object_13.svg

.

2.1. Bibliographical references#

  1. SAMCEF, V7.1 Volume Elements Reference Manual,1998

  2. J-L. Batoz, G.Dhatt, « Modeling Structures by Finite Elements: Shells », Hermès, Paris, 1992

  3. Crisfield M.A., « Non-linear Finite Element Analysis of Solids and Structures », Volume 1: Essentials, John Wiley, Chichester, 1994

  4. Ph. JETTEUR, Nonlinear Shell Kinematics. Report SAMTECH, Contract PP/GC-134/96, 1998