On Asymptotic Theory of Beams, Plates and Shells

Chapter 8 Plates and Shells: Asymptotic Expansions and Hierarchic Models

Plates and Shells: Asymptotic Expansions and Hierarchic Models

Concerning thin structures, such as plates and shells, the idea of reducing the equations of elasticity to two-dimensional models defined on the midsurface seems relevant. Such a reduction was first performed thanks to kinematicalhypotheses about the transformation of normal lines to the midsurface. As nowadays, the asymptotic expansion of thedisplacement solution of the three-dimen...

Plates and shells: Asymptotic expansions and hierarchical models

Concerning thin structures such as plates and shells, the idea of reducing the equations of elasticity to twodimensional models defined on the mid-surface seems relevant. Such a reduction was first performed thanks to kinematical hypotheses about the transformation of normal lines to the mid-surface. As nowadays, the asymptotic expansion of the displacement solution of the three-dimensional lin...

An asymptotic theory of sandwich plates

Elastic plates can be described by a two-dimensional theory, if the characteristic length of the stress state along the plate, l; is much bigger than the plate thickness, h: If all elastic moduli of a laminated plate are of the same order, no matter how many lamina the plate has, then the normal to the mid-surface of the plane remain normal in the course of deformation, and the deformation of t...

Plates and Shells

Plates and shells represent principal elements of aerospace structures, including fuselages of planes and missiles, control surfaces, bulkheads, helicopter blades, and others. The multiple applications, shapes, and materials found in plate and shell structures dictate the necessity of a comprehensive approach to their analysis reflected in relevant theories and methodologies. Various aspects of...