Lagrangian Formulation of Statics of Shells

by Jagannath P. Shrivastava, Post-Doctoral Fellow; Dept. of Mech. Engrg., Univ. of Calgary, Calgary, Alberta, Canada,
Peter G. Glockner, (M.ASCE), Prof.; Dept. of Civ. Engrg., Univ. of Calgary, Calgary, Alberta, Canada,

Serial Information: Journal of the Engineering Mechanics Division, 1970, Vol. 96, Issue 5, Pg. 547-563

Document Type: Journal Paper


A Lagrangian formulation of the equations of equilibrium of nonlinear thin elastic shell theory referred to nonorthogonal midsurface coordinates is presented. In analogy with the definition of the Lagrangian stress tensor of nonlinear continuum mechanics, stress and moment resultants are introduced and the equations of equilibrium with reference to the undeformed state derived. All results are exact within the Kirchhoff-Love hypothesis and are stated both in tensorial as well as in physical component form.

Subject Headings: Statics (mechanics) | Lagrangian functions | Equilibrium | Nonlinear analysis | Elastic analysis | Terminology and definition | Continuum mechanics

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