Warping and in-plane twist parameters in kinematics of finite rotation shells

✍ Scribed by K. Wisniewski; E. Turska

• Book ID: 104266815
• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 238 KB
• Volume: 190
• Category: Article
• ISSN: 0045-7825
• DOI: 10.1016/s0045-7825(01)00194-3

✦ Synopsis

The ®nite rotation shell equations are derived from a 3D mixed formulation with explicit rotations. Constitutive equations are written in terms of the relaxed Biot stress and right stretch strain. The shell kinematics is based on a generalised Reissner hypothesis and rotations depending on the thickness coordinate. The generalized Reissner hypothesis includes a bubble-like term for the warping of a cross-section. The rotations linearly vary over the thickness and are parametrised by a canonical rotation vector. The components of the rotation vector can be identi®ed as the in-plane twist parameter and two warping parameters. Consequences of this new rotation vector for shell equations, especially for rotation constraints and strain measures, are examined, and a comparison with the formulation which includes the in-plane twist parameter is made. The new rotation vector is treated as an implicit kinematical parameter and recovered from the rotation constraint. Hence, a 6-parameter shell formulation, admitting C 0 approximations, is retained.