Stress resultant geometrically nonlinear shell theory with drilling rotations. I: A consistent formulation. (English) Zbl 0849.73036
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.
MSC:
| 74K15 | Membranes |
Keywords:
finite deformation theory of three-dimensional continuum; linearized theory; shell normal; finite rotations; independent rotation fieldReferences:
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