Thin shells with finite rotations. Theory and finite element formulation

authored by

Peter Wriggers, F. Gruttmann

Abstract

A bending theory for thin shells undergoing finite rotations is presented, and its associated finite element model is described. The kinematic assumption is based on a shear elastic Reissner-Mindlin theory. The starting point for the derivation of the strain measures is the three-dimensional principle of virtual work. Here, the polar decomposition of the shell material deformation gradient leads to symmetric strain measures. The associated work-conjugate stress resultants and stress couples are integrals of the Biot stress tensor. This tensor is invariant with respect to rigid body motions and therefore appropriate for the formulation of constitutive equations. The rotations are described through Eulerian angles.

Organisation(s)

Institute of Continuum Mechanics

Type

Conference contribution

Pages

135-159

No. of pages

25

Publication date

1989

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Engineering(all)

 

Details in the research portal "Research@Leibniz University"