A STRAIN-AND-DISPLACEMENT-BASED VARIATIONAL METHOD APPLIED TO GEOMETRICALLY NON-LINEAR SHELLS

✍ Scribed by C. C. CELIGOJ

• Publisher: John Wiley and Sons
• Year: 1996
• Tongue: English
• Weight: 614 KB
• Volume: 39
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/(sici)1097-0207(19960715)39:13<2231::aid-nme952>3.0.co;2-8

✦ Synopsis

A geometrically non-linear hybrid nine-node finite 2D-shell element is presented. The theoretical formulation is based on a Reissner functional in strains and displacements. The increments of which are interpolated with respect to different spatially fixed triads: both the displacement and rotation increments in the material frame (global rectangular Cartesian) and the Green-Lagrange-strain increments in a suitably chosen local rectangular Cartesian in the centroid of the considered element in the reference configuration. Corresponding transformations then deliver the components on the shell mid-surface. Although a single element possesses one spurious zeroenergy mode, an assemblage performs excellently (also in comparison with a full-rank element).