Koiter's Shell Theory from the Perspective of Three-dimensional Nonlinear Elasticity

David Steigmann (1)

1 Department of Mechanical Engineering [Berkeley]

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.

Domaines: Mécanique [physics.med-ph]

David Steigmann. Koiter's Shell Theory from the Perspective of Three-dimensional Nonlinear Elasticity. Journal of Elasticity, 2013, 111 (1), pp.91-107. ⟨hal-00781859⟩