This paper deals with the vibration and instability of a sandwich circular plate. The plate composes of Magnetorheological fluid core and Magnetostrictive face sheets. Also, Kerr elastic substance as a powerful foundation is considered with two upper and lower spring layers along with the middle shear layer. This plate is subjected to an axisymmetric linearly varying load that change by the load factor. The energy method and Hamilton principle are used to derive the governing equations and natural frequency calculated by the numerical method (namely, differential quadrature method). This study aims to investigate the effect of important parameters such as load factor, lower, and upper elastic modulus, shear layer in the foundation, magnetic field intensity, and boundary conditions on the natural frequency of structures. The results showed that the varying load creates the instability of the flutter type in the investigation of the first two vibrational modes. 

On the natural frequencies of smart circular plates with magnetorheological fluid core embedded between magnetostrictive patches on Kerr elastic substance

A thickness-independent nonlocal shell model for describing the stability behavior of carbon nanotubes under compression

Multiscale modeling of embedded graphene sheets based on the higher-order Cauchy-Born rule: Nonlinear static analysis

This chapter introduces the concepts that define the mechanical properties of carbon nanotubes (CNTs) and graphene, such as elasticity, plasticity, linearity, instability and fracture behaviour. Also introduced are experimental, theoretical and computational approaches to revealing these mechanical properties. The chapter reviews frontier research on the use of experimental and computer modelling to find the mechanical properties of CNTs and graphene. Readers will find the concluding summary of the literature on major mechanical property data particularly useful for research, analysis and application.

Mechanical Properties of Carbon Nanotubes and Graphene

The most stable form of boron nitride polymorph naming hexagonal boron nitride sheet has recently been widely concerned like graphite due to its interesting features such as electrical insulation and high thermal conductivity. In this study, the molecular dynamic simulations are implemented to investigate the mechanical properties of single-layer graphene sheets under tensile and compressive loadings in the absence and presence of boron–nitride coating layers. In this introduced hybrid nanostructure, the benefit of combining both individual interesting features of graphene and boron–nitride sheets such as exceptional mechanical and electrical properties can be simultaneously achieved for future potential application in nano devices. The influences of chiral indices, boundary conditions and presence of mono-atomic vacancy defects as well as coating dimension on the mechanical behavior of the resulted hybrid structure are reported. The interatomic forces between the atoms are modeled by employing the AIREBO and Tersoff–Brenner potentials for carbon–carbon and boron–nitrogen atoms in each layer, respectively. Furthermore, the van der Waal interlayer forces of carbon–boron and carbon–nitrogen are estimated by the Lennard–Jones potential field. Besides the potential improvement in electrical and physical properties of the nanostructure, it is demonstrated that the buckling load capacity of the fully coated graphene sheet with 3% concentration of mono-atomic vacancy defects noticeably enhances by amounts of 24.1%.

Mechanical behavior enhancement of defective graphene sheet employing boron nitride coating via atomistic study

In this article, the biaxial buckling of a single layer graphene sheet is investigated. The model is established through the incorporation of an interatomic potential into non-local elastic plate t...

Stability of a single-layer graphene sheet with various edge conditions: a non-local plate model including interatomic potentials

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Stability of a single-layer graphene sheet with various edge conditions: a non-local plate model including interatomic potentials