Proc.IJCrash'98 (Eds. E.C.Chirwa, D.C.Viano), pp. 509-521, 1998
M. Seitzberger and F.G. Rammerstorfer
Institute of Lightweight Structures and Aerospace
TU Wien, Vienna, Austria
The paper deals with the numerical simulation of crushing processes of
axially compressed axisymmetric shells, by application of the upper bound
theorem of limit analysis in combination with an FE-like discretization.
In order to account for large deformations, a sequence of optimization
problems, each followed by a geometrical update, is solved for the unknown
Frictionless contact can be taken into account simply through the enforcement
of additional inequalities entering the optimization problems.
In order to allow an accurate (though numerically relatively simple)
computation of the internal energy dissipation, the exact form of the Ilyshin
yield surface is applied, expressed exclusively in terms of kinematic
The proposed numerical procedure allows to study crushing processes of
general axisymmetric structures with great accuracy.
Analytically based kinematic mechanisms, proposed in the literature, can be
regarded as special cases, which allows to investigate the influence of
simplifications used in such models.