Stress resultant geometrically nonlinear shell theory with drilling rotations. I: A consistent formulation (Q1913166)

We present a consistent theoretical framework for a novel stress resultant geometrically nonlinear shell theory. The main feature of the present shell theory, which stands in contrast with the classical developments, is the presence of a rotation component around the shell normal (so-called drilling rotation) in the description of shell finite rotations. The relationship of the proposed theory with a finite deformation theory of a three-dimensional continuum with independent rotation field is clearly identified. Finally, the corresponding linearized form of the present shell theory is discussed.