Hierarchic models for laminated 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...

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...

Stress Projection, Layerwise-Equivalent, Formulation for Accurate Predictions of Transverse Stresses in Laminated Plates and Shells

A two-phase scheme for accurate predictions of interlaminar stresses in laminated plate and shell structures has been addressed in this study. A modified superconvergent patch recovery (MSPR) technique has been utilized to obtain accurate nodal in-plane stresses which are subsequently used with the thickness integration of the three-dimensional equilibrium equations to evaluate the transverse s...

Analysis of laminated plates and shells by collocation with radial basis functions

Although most work to date on RBFs relates to scattered data approximation and in general to interpolation theory, there has recently been an increased interest in their use for solving partial differential equations (PDEs). This approach, which approximates the whole solution of the PDE directly using RBFs, is very attractive due to the fact that this is truly a mesh-free technique. Kansa [1] ...