A new macroscopic approach to modelise membrane wrinkling is presented. Most of the studies of the literature about membrane behaviour are macroscopic and phenomenological, the influence of wrinkles being accounted by non-linear constitutive laws without compressive stiffness. The present method is multi-scale and it permits to predict the wavelength and the spatial distribution of wrinkling am...

A review on the recent development in the non-linear flutter and thermal buckling of an FGM panel under the combined effect of elevated temperature conditions and aerodynamic loading is investigated using a finite element model based on the thin plate theory and von Karman straindisplacement relations to account for moderately large deflection. It is found that the temperature increase has an a...

The morphology of telephone-cord buckles of elastic thin films can be used to evaluate the initial residual stress and interface toughness of the filmsubstrate system. The maximum out-of-plane displacement δ, the wavelength λ and amplitude A of the wave buckles can be measured in physical experiments. Through δ, λ, and A, the buckle morphology is obtained by an annular sector model established ...

The elastic energy functional of a thin elastic rod or sheet is generalized to the case of an M -dimensional manifold in N -dimensional space. We derive potentials for the stress field and curvatures and find the generalized von Karman equations for a manifold in elastic equilibrium. We perform a scaling analysis of an M − 1 dimensional ridge in an M = N − 1 dimensional manifold. A ridge of lin...

In this paper, Asymmetric buckling analysis of functionally graded (FG) Circular plates with temperature dependent property that subjected to the uniform radial compression and thermal loading is investigated. This plate is on an elastic medium that simulated by Winkler and Pasternak foundation. Mechanical properties of the plate are assumed to vary nonlinearly by temperature change. The equili...

There are many micro-structures that can be modelled as simple geometrical elements, such as beams with rectangular cross-sections or circular or rectangular plates. Examples of such structures abound in the MEMS literature [1-2]. Because they are very easy to manipulate, models based upon plate or beam approximations are very interesting. However, they are very often limited to the so-called “...

In this study, nonlinear bending of solid and annular functionally graded (FG) sector plates subjected to transverse mechanical loading and thermal gradient along the thickness direction is investigated. Material properties are varied continuously along the plate thickness according to power-law distribution of the volume fraction of the constituents. According to von-Karman relation for large ...

This paper investigates nonlinear bending and buckling behaviours of composite plates characterized by a thickness variation. Layer interfaces are described as functions of inplane coordinates. Top and bottom surfaces of the plate are symmetric about the midplane and the plate could be considered as a flat surface in analysis along with thickness parameters which vary over the plate. The variab...

in this paper, asymmetric buckling analysis of functionally graded (fg) circular plates with temperature dependent property that subjected to the uniform radial compression and thermal loading is investigated. this plate is on an elastic medium that simulated by winkler and pasternak foundation. mechanical properties of the plate are assumed to vary nonlinearly by temperature change. the equili...

Owing to the excellent mechanical properties, polymethyl methacrylate (PMMA)/carbon nanotube (CNT) composite has been increasingly adopted in aerospace field, which is usually subjected various temperature conditions and supersonic aerodynamic loads. Using a molecular dynamics (MD)-based multiscale simulation, nonlinear forced vibration of PMMA/CNT plate investigated under coupled load conditio...