Research Article
Dec 1966
General Theory for Thick Shell Analysis
Publication: Journal of the Engineering Mechanics Division
Volume 92, Issue 6
Abstract
Applications of shell structures to many engineering fields have introduced the problem of analyzing thick elastic shells. A useful tool for describing shells is tensor analysis. By using such a tool, a formulation based on power series expansions for displacements is developed. The resulting equations may be considered as a recurrence group, permitting the obtaining of the series coefficients in terms of six principal variables. These principal variables are the three middle surface displacements, and the three rotations about the base vectors. The equations for the thick shell theory are developed for the geometrical nonlinear case. The engineering solution of such equations can be obtained by using a cartesian reference frame.
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Published In
Journal of the Engineering Mechanics Division
Volume 92 • Issue 6 • December 1966
Pages: 185 - 203
Copyright
© 1966 American Society of Civil Engineers.
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Published in print: Dec 1966
Published online: Feb 3, 2021
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Alejandro Martínez-Márquez, AM.ASCE
Prof. of Numerical Analysis, National Computing Center, National Polytech. Inst., Mexico D. F. Mexico; formerly, Visiting Researcher, Civ. Engrg. Dept., Massachusetts Inst. of Tech., Cambridge, Mass.
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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.