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Shear deformable shell elements for large strains and rotations

✍ Scribed by M. Bischoff; E. Ramm

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
318 KB
Volume
40
Category
Article
ISSN
0029-5981

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✦ Synopsis

Well-known finite element concepts like the Assumed Natural Strain (ANS) and the Enhanced Assumed Strain (EAS) techniques are combined to derive efficient and reliable finite elements for continuum based shell formulations. In the present study two aspects are covered:

The first aspect focuses on the classical 5-parameter shell formulation with Reissner-Mindlin kinematics. The above-mentioned combinations, already discussed by Andelfinger and Ramm for the linear case of a four-node shell element, are extended to geometrical non-linearities. In addition a nine-node quadrilateral variant is presented. A geometrically non-linear version of the EAS-approach is applied which is based on the enhancement of the Green-Lagrange strains instead of the displacement gradient as originally proposed by Simo and Armero.

In the second part elements are derived in a similar way for a higher order, so-called 7-parameter non-linear shell formulation which includes the thickness stretch of the shell (Bu¨chter and Ramm). In order to avoid artificial stiffening caused by the three dimensional displacement field and termed 'thickness locking', special provisions for the thickness stretch have to be introduced. 1997

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