6-dof shell element 2

[Cmfg]

Typically shell elements are either uncoupled systems (membrane 2-dof + plate 3-dof per node), or coupled 5-dof (Ahmad element) described in Bathe's book. In both cases, the in-plane rotation in nodes is neglected or an artificial spring is added to avoid numerical problems during the solution of the equations.

Does anyone know where could I find the description of a truly 6-dof shell element (shape functions, etc)?

 

[brad]

There have been approached proposed to accurately deal with the 6th ("drilling&quot dof freedom in a 5 dof-formulated shell. Following are two publications from Stanford University Applied Mechanics which are often cited. These will probably provide what you're looking for. These papers provide the basis for a justification and formulation of the drill.

Brad

Simo, J.C., Fox, D.D., and Hughes, T.J.R., ``Formulations of Finite Elasticity with Independent Rotations,'' Computer Methods in Applied Mechanics and Engineering, Vol. 95, 1992, pp. 277-288.


Fox, D.D., and Simo, J.C., ``A Drill Rotation Formulation for Geometrically Exact Shells,''Computer Methods in Applied Mechanics and Engineering, Vol. 98, No. 3, 1992,
pp. 329-343.

 

[brad]

PS--I don't think these would meet your definition of "truly 6-dof shell element", but I also don't know if there exists such a thing. Lacking that, this is the closest. Hope this helps.
Brad

 

[Cmfg]

Brad:

Thanks for the references. You are right, there is no such thing.

cmfg