Open AccessJournal Article
Nonlocal Effect on Buckling of Triangular Nano-composite Plates
Reads0
Chats0
TLDR
In this article, the effect of non-local parameters on the buckling of a triangular nano-composite plate under uniform in-plane compression was investigated, especially at very small dimensions, small aspect ratios, higher mode numbers, stiffer edge supports and softer elastic mediums.Abstract:
In the present study, small scale effect on critical buckling loads of triangular nano- composite plates under uniform in-plane compression is studied. Since at nano-scale the structure of the plate is discrete, the size dependent nonlocal elasticity theory is employed to develop an equivalent continuum plate model for this nanostructure incorporating the changes in its mechanical behavior. The two-parameter, Winkler-Pasternak, elastic medium is used for precisely modelling the behavior of matrix surrounding the nano-plate. The governing stability equations are then derived using the classical plate theory and the principle of virtual work for a perfect uniform triangular nano-plate composite. The well-known numerical Galerkin method in conjunction with the areal coordinates system is used as the basis for the solution. The solution procedure views the entire nano-composite plate as a single super-continuum element. Effects of nonlocal parameter, length, aspect ratio, mode number, anisotropy, edge supports and elastic medium on the buckling loads are rigorously investigated. All of these parameters are seen to have significant effect on the stability of nano-composite plate. It is shown that the results depend obviously on the non-locality of buckled nano-composite plate, especially at very small dimensions, small aspect ratios, higher mode numbers, higher anisotropy degree, stiffer edge supports and softer elastic mediums. Also, it is seen that the classical continuum mechanics overestimates the buckling results which can lead to deficient design and analysis of these widely used nanostructures.read more
Citations
More filters
Journal Article
Free Vibration Analysis of Nonuniform Microbeams Based on Modified Couple Stress Theory: an Analytical Solution
TL;DR: In this article, the free vibration frequencies of non-uniform microbeams were calculated for simply-supported, cantilever and clamped boundary conditions, and the effects of scale effects are modelled using modified couple stress theory and the microbeam is assumed to be thin while Poisson's ratio effects are also taken into account.
References
More filters
Journal ArticleDOI
Nanowire Nanosensors for Highly Sensitive and Selective Detection of Biological and Chemical Species
TL;DR: The small size and capability of these semiconductor nanowires for sensitive, label-free, real-time detection of a wide range of chemical and biological species could be exploited in array-based screening and in vivo diagnostics.
Journal ArticleDOI
Functionalized graphene sheets for polymer nanocomposites
T. Ramanathan,Ahmed Abdala,Ahmed Abdala,Sasha Stankovich,Dmitriy A. Dikin,Margarita Herrera-Alonso,Richard D. Piner,Richard D. Piner,Douglas H. Adamson,Hannes C. Schniepp,Xinqi Chen,Rodney S. Ruoff,Rodney S. Ruoff,SonBinh T. Nguyen,Ilhan A. Aksay,Robert K. Prud'homme,L. C. Brinson +16 more
TL;DR: Modulus, ultimate strength and thermal stability follow a similar trend, with values for functionalized graphene sheet- poly(methyl methacrylate) rivaling those for single-walled carbon nanotube-poly(methyl methamphetamine) composites.
Journal ArticleDOI
Polymer Nanocomposites Containing Carbon Nanotubes
TL;DR: In this article, a review of polymer nanocomposites with single-wall or multi-wall carbon nanotubes is presented, and the current challenges to and opportunities for efficiently translating the extraordinary properties of carbon-nanotubes to polymer matrices are summarized.
Journal ArticleDOI
A continuum theory of elastic material surfaces
TL;DR: In this paper, a mathematical framework is developed to study the mechanical behavior of material surfaces, and the tensorial nature of surface stress is established using the force and moment balance laws using a linear theory with non-vanishing residual stress.
Journal ArticleDOI
Experiments and theory in strain gradient elasticity
TL;DR: In this paper, a new set of higher-order metrics is developed to characterize strain gradient behaviors in small-scale structures and a strain gradient elastic bending theory for plane-strain beams is developed.
Related Papers (5)
Application of Ritz functions in buckling analysis of embedded orthotropic circular and elliptical micro/nano-plates based on nonlocal elasticity theory
Small-scale effects on the buckling of quadrilateral nanoplates based on nonlocal elasticity theory using the Galerkin method
Hamed Babaei,Ali Reza Shahidi +1 more