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Theory of Multilayered Anisotropic Shells Based on an Asymptotic Variational Formulation

Published online by Cambridge University Press:  05 May 2011

Jiann-Quo Tarn ,
Yung-Ming Wang  and
Shi-Horng Chang
Jiann-Quo Tarn*
Affiliation:
Department of Civil Engineering, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C
Yung-Ming Wang*
Affiliation:
Department of Civil Engineering, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C
Shi-Horng Chang*
Affiliation:
Department of Civil Engineering, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C
*
*Professor
**Associate Professor
***Graduate student
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Abstract

A general theory for multilayered anisotropic elastic shells is developed in an asymptotic variational framework of 3-D elasticity. The generic shell continuum considered is heterogeneous through the thickness. It is shown that the classical laminated shell theory based on Love's assumption arises naturally as the first-order approximation to the 3-D theory. Higher-order corrections can be determined by solving the 2-D shell equations hierarchically. The associated edge conditions at each level of approximation are derived. Various types of shells such as shells of revolution, conical shells, spherical shells, circular cylindrical shells can be treated within the context.

Keywords

Asymptotic analysisElasticityLaminated shellsVariations
Type
Articles
Information
Journal of Mechanics , Volume 14 , Issue 4 , December 1998 , pp. 173 - 182
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 1998

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References

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