Sheardeformable axisymmetric conical shell element with 6DOF and convergence of O(h(sup 4))
Abstract
According to Hughes, finite element researchers are turning away, more and more, from PoissonKirchhoff type elements to elements based on theories which accommodate transverse shear strains. It is shown that with the same number of degrees of freedom for the conical element, it is possible to achieve a cubic interpolation for w and thus obtain a rate of convergence of O(h(sup 4)) for the element. This is done by introducing at the interpolation stage an additional rotational DOF in the middle of the cone which is eliminated by static condensation at the end. The performance of the element is verified by applying it to typical problems.
 Publication:

Computer Methods in Applied Mechanics and Engineering
 Pub Date:
 March 1994
 DOI:
 10.1016/00457825(94)902100
 Bibcode:
 1994CMAME.113...47P
 Keywords:

 Conical Shells;
 Convergence;
 Finite Element Method;
 Shear Strain;
 Structural Analysis;
 Axisymmetric Bodies;
 Buckling;
 Degrees Of Freedom;
 Interpolation;
 Structural Mechanics