Shear deformable shell elements for large strains and rotations
作者： M. Bischoff , E. Ramm
DOI: 10.1002/(SICI)1097-0207(19971215)40:23<4427::AID-NME268>3.0.CO;2-9
关键词: Structural engineering 、 Physics 、 Kinematics 、 Mathematical analysis 、 Displacement gradient 、 Quadrilateral 、 Shear (geology) 、 Finite element method 、 Displacement field 、 Stiffening 、 Shell element
摘要: Well-known finite element concepts like the Assumed Natural Strain (ANS) and Enhanced (EAS) techniques are combined to derive efficient reliable elements for continuum based shell formulations. In present study two aspects covered: The first aspect focuses on classical 5-parameter formulation with Reissner–Mindlin kinematics. The above-mentioned combinations, already discussed by Andelfinger Ramm linear case of a four-node element, extended geometrical non-linearities. addition nine-node quadrilateral variant is presented. A geometrically non-linear version EAS-approach applied which enhancement Green–Lagrange strains instead displacement gradient as originally proposed Simo Armero. In second part derived in similar way higher order, so-called 7-parameter includes thickness stretch (Buchter Ramm). order avoid artificial stiffening caused three dimensional field termed ‘thickness locking’, special provisions have be introduced. © 1997 John Wiley & Sons, Ltd.
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