2. Reference solution#

2.1. Calculation method used for the reference 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_9.svg

The mesh considered in the reference calculation is a regular mesh of \(16\mathrm{\times }16\) quadrilateral elements with 4 nodes each.

2.2. Benchmark results#

History of vertical displacement \(\mathrm{DZ}\) in meters at the loaded node \(\mathrm{P1}\)

Instant

Surface Force \(\mathrm{fz}\) **** (:math:`N`) **

\(\mathit{DZ}`**in** :math:\)mathrm{P1}` ( \(m\) )

0.2

0.2

—1.043E—01

0.4

0.4

—3.935E—01

0.7

0.7

—5.13E—01

2.3. Bibliographical references#

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

  2. J-L. Batoz, G.Dhatt, « Modeling Structures by Finite Elements: Beams and Plates « , 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