A triangular element based on generalized potential energy conceptsStiffness equations are formulated for a doubly-curved triangular thin shell finite element. The strain energy component of the potential energy is first expressed in terms of displacements and displacement gradients with the aid of consistent deep shell strain-displacement equations. The element in-plane and normal displacement fields are approximated by complete cubic polynomials. These functions do not satisfy the interelement displacement admissibility conditions. Satisfaction is forced by the imposition of constraint conditions on the interelement boundaries; the constraints represent the modification of the potential energy. Some numerical results for a pinched cylinder, a cylindrical sphere, and a pinched sphere are examined.
Document ID
19770035247
Acquisition Source
Legacy CDMS
Document Type
Other - Collected Works
Authors
Thomas, G. R. (McGill University Montreal, Canada)
Gallagher, R. H. (Cornell University Ithaca, N.Y., United States)