Invariant Stress and Deformation Functions for Doubly Curved Shells

[+] Author and Article Information
A. Libai

Israel Aircraft Industries, Lod Airport, Israel

J. Appl. Mech 34(1), 43-48 (Mar 01, 1967) (6 pages) doi:10.1115/1.3607666 History: Received November 30, 1965; Revised June 27, 1966; Online September 14, 2011


Exact invariant stress and deformation functions for doubly curved (nondevelopable) shells are derived. The invariant stress function reduces the six shell equilibrium equations into a single equation in the stress function and moment resultants. The deformation function reduces the three surface strain-displacement relations into a single compatibility equation in the strains and deformation function, in terms of which the changes of curvature are also expressed. Application of these functions in the formulation of an approximate bending theory for shells is presented.

Copyright © 1967 by ASME
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