Local Elastic and Geometric Stiffness Matrices for the Shell Element Applied in cFEM

  • Dávid Visy Budapest University of Technology and Economics, Budapest
  • Sándor Ádány Budapest University of Technology and Economics, Budapest

Abstract

In this paper local elastic and geometric stiffness matrices of ashell finite element are presented and discussed. The shell finiteelement is a rectangular plane element, specifically designedfor the so-called constrained finite element method. One of themost notable features of the proposed shell finite element isthat two perpendicular (in-plane) directions are distinguished,which is resulted in an unusual combination of otherwise classicshape functions. An important speciality of the derived stiffnessmatrices is that various options are considered, whichallows the user to decide how to consider the through-thicknessstress-strain distributions, as well as which second-order strainterms to consider from the Green-Lagrange strain matrix. Thederivations of the stiffness matrices are briefly summarizedthen numerical examples are provided. The numerical examplesillustrate the effect of the various options, as well as theyare used to prove the correctness of the proposed shell elementand of the completed derivations.

Keywords

constrained Finite Element Method; elastic and geometric stiffness matrices
Published
10-02-2017
How to Cite
VISY, Dávid; ÁDÁNY, Sándor. Local Elastic and Geometric Stiffness Matrices for the Shell Element Applied in cFEM. Periodica Polytechnica Civil Engineering, [S.l.], v. 61, n. 3, p. 569-580, feb. 2017. ISSN 1587-3773. Available at: <https://pp.bme.hu/ci/article/view/10111>. Date accessed: 25 sep. 2017. doi: https://doi.org/10.3311/PPci.10111.
Section
Research Article