Abstract
Koiter’s shell model is derived systematically from nonlinear elasticity theory, and shown to furnish the leading-order model for small thickness when the bending and stretching energies are of the same order of magnitude. An extension of Koiter’s model to finite midsurface strain emerges when stretching effects are dominant.
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This note was inspired by a course on Shell Theory delivered by the writer at the University of California.
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Steigmann, D.J. Koiter’s Shell Theory from the Perspective of Three-dimensional Nonlinear Elasticity. J Elast 111, 91–107 (2013). https://doi.org/10.1007/s10659-012-9393-2
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DOI: https://doi.org/10.1007/s10659-012-9393-2