Thin shells with finite rotations. Theory and finite element formulation
- verfasst von
- 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.
- Organisationseinheit(en)
-
Institut für Kontinuumsmechanik
- Typ
- Aufsatz in Konferenzband
- Seiten
- 135-159
- Anzahl der Seiten
- 25
- Publikationsdatum
- 1989
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Allgemeiner Maschinenbau
