A model predicting the structure of repulsive, spherically symmetric, monodisperse particles confined between two walls is presented. When plate separations are small, only one layer of particles can be confined; however, when the plate separation is increased, multiple layers will eventually form. We study the buckling transition of a single flat layer as the double layer state develops. Exper...

Functionally graded plates whose material properties vary continuously through the thickness are modelled as exactly equivalent plates composed of up to four isotropic layers. Separate models are derived for analysis using classical plate theory, firstorder and higher-order shear deformation theory. For cases where Poisson’s ratio varies through the thickness, the integrations required to obtai...

Buckling and vibrational behaviour of non-homogeneous orthotropic rectangular plates of variable thickness having two opposite edges (y = 0 and b) simply supported and these are subjected to constant in-plane force have been analyzed on the basis of classical plate theory. The other two edges (x = 0 and a) may be clamped, simply supported or free. For nonhomogeneity of the plate material, Young...

The bifurcation of an incompressible neo-Hookean thick hyperelastic plate with a ratio of thickness to length η and subject to pure bending is considered within a plane-strain framework. The two incremental equilibrium equations corresponding to a nonlinear prebuckling state of strain are reduced to a fourth-order linear eigenproblem that displays a multiple turning point. It is found that for ...

The bifurcation of an incompressible neo-Hookean thick hyperelastic plate with a ratio of thickness to length η and subject to pure bending is considered within a plane-strain framework. The two incremental equilibrium equations corresponding to a nonlinear prebuckling state of strain are reduced to a fourth-order linear eigenproblem that displays a multiple turning point. It is found that for ...

Thin plates are subject to several imperfections (including dents) which reduce the ultimate strength of plates. In this work, nearness effect of two short dents of same size on the ultimate strength of a thin square steel plate is numerically investigated. Dents are modeled on the FE surface of the undented plate by varying the location and orientation of dents and the centre distance between ...

A recently developed Finite-Element (FE) model for the precise computation of electrostatic driven MEMS (Micro-ElectroMechanical-Systems) is presented. Thereby, we fully take geometric nonlinearity, contact in the snap-in mode, nonlinear electrostatic coupling forces as well as the moving of charged thin membrane-plate structures (electrodes) in an electric field into account. Furthermore, sinc...

This paper presents thermal buckling analysis of rectangular functionally graded plates (FG plates) with an eccentrically located elliptic cutout. The plate governing equations derived by the first order shear deformation theory (FSDT) and finite element formulation is developed to analyze the plate behavior subjected to a uniform temperature rise across plate thickness. It is assumed that the ...

Non-Euclidean plates are a subset of the class of elastic bodies having no stress-free configuration. Such bodies exhibit residual stress when relaxed from all external constraints, and may assume complicated equilibrium shapes even in the absence of external forces. In this work we present a mathematical framework for such bodies in terms of a covariant theory of linear elasticity, valid for l...