Three equilibrium equations in terms of three displacements are derived in scalar mathematics form, by linear, small-strain elasticity principles, for the case of general thick-walled shells under general loading. These reduce to well-known forms for the particular cases of flat-plates and thick circular cylindrical shells.
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Thick General Shells Under General Loading
Lloyd H. Donnell
656 Lytton Avenue, Palo Alto, Calif. 94301
Donnell, L. H. (June 1, 1989). "Thick General Shells Under General Loading." ASME. J. Appl. Mech. June 1989; 56(2): 391–394. https://doi.org/10.1115/1.3176095
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