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3-Noded Triangle with Drilling Rotations

Submitted by John Craighead on

I'm trying to better understand the 3-noded triangular element with drilling rotations.

I think that the 3-noded triangle with drilling rotations is derived from the 6-noded linear strain triangle by, for mid-side nodes, constraining out-of-plane dof & converting in-plane dof to nodal rotation.

In particular, I'm wondering about the following:

1) Whether strains are constant (like 3-noded CST) or vary (like 6-noded LST) within the element ? Some of the literature seems to refer to constant strain (from translational dofs) & higher order strain (from rot'n nodes) being superimposed. 

2) How the nodal rotations are obtained since tracking only 3 corner nodes ?  I think that they must be calculated in some way, perhaps from the relative deflections of the corner nodes.

Any thoughts are very welcome ! 

Thanks, John.