Aeroelasticity of Plates and Shells

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...

Free Material Optimization for Plates and Shells

In this article, we present the Free Material Optimization (FMO) problem for plates and shells based on Naghdi’s shell model. In FMO – a branch of structural optimization – we search for the ultimately best material properties in a given design domain loaded by a set of given forces. The optimization variable is the full material tensor at each point of the design domain. We give a basic formul...

Local Behavior of Discretely Stiffened Composite Plates and Cylindrical Shells

The Layerwise Shell Theory is used to model discretely stiffened laminated composite plates and cylindrical shells for stress, vibration, pre-buckling and post-buckling analyses. The layerwise theory reduces a 3-D problem to a 2-D problem by expanding the 3-D displacement field as a function of a surface-wise 2-D displacement field and a 1-D interpolation polynomial through the shell thickness....

Chapter 8 Plates and Shells: Asymptotic Expansions and Hierarchic Models

Linear Static Behavior of Damaged Laminated Composite Plates and Shells

A mathematical scheme is proposed here to model a damaged mechanical configuration for laminated and sandwich structures. In particular, two kinds of functions defined in the reference domain of plates and shells are introduced to weaken their mechanical properties in terms of engineering constants: a two-dimensional Gaussian function and an ellipse shaped function. By varying the geometric par...