Research Article
Oct 1970
Lagrangian Formulation of Statics of Shells
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VIEW THE REPLYPublication: Journal of the Engineering Mechanics Division
Volume 96, Issue 5
Abstract
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.
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Published In
Journal of the Engineering Mechanics Division
Volume 96 • Issue 5 • October 1970
Pages: 547 - 563
Copyright
© 1970 American Society of Civil Engineers.
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Published in print: Oct 1970
Published online: Feb 3, 2021
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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
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.