Abstract

Nanoplates have been extensively utilized in the recent years for applications in nanoengineering as sensors and actuators. Due to their operative nanoscale, the mechanical behavior of such structures might also be influenced by inter-atomic material interactions. For these reasons, nonlocal models are usually introduced for studying their mechanical behavior. Sensor technology of plate structures should be formulated with coupled mechanics where elastic, magnetic and electric fields interact among themselves. In addition, the effect of hygro-thermal environments are also considered since their presence might effect the nanoplate behavior. In this work a trigonometric approach is developed for investigating smart composite nanoplates using a strain gradient nonlocal procedure. Convergence of the present method is also reported in terms of displacements and electro-magnetic potentials. Results agree well with the literature and open novel applications in this field for further developments.

Highlights

  • Great attention has been paid to nanostructures composed of materials with magneto-electro-thermo-elasitc (METE) properties, with a main focus on the magnetoelectro-thermo-mechanical coupling effects

  • Nonlocal theories have been widely used for the study of nanostructures since Eringen developed his theory of nonlocal elasticity [17], which considers the nanoscale effects by introducing one or more length scale parameters in addition to the well-known linear elastic Lamé parameters. [18,19,20,21]

  • The focus of this paper was to investigate the effects of the nonlocal parameter on the bending analysis of functionally graded magneto-electro-thermo-elastic nanoplates subjected to different types of load in hygro-thermal environment

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Summary

Introduction

Great attention has been paid to nanostructures composed of materials with magneto-electro-thermo-elasitc (METE) properties, with a main focus on the magnetoelectro-thermo-mechanical coupling effects. Bacciocchi et al [47] developed a finite element solution for the static behavior of laminated nanoplates in a hygro-thermal environment, taking into account the effect of material length scales, which is described by the nonlocal strain gradient theory. In [61], the free vibration of magneto-electro-elastic nanoplates was investigated based on the nonlocal strain gradient theory and Kirchhoff plate theory and considering thermal environment. In [63,64,65] a nonlocal nonlinear first-order shear theory is used for investigating the buckling and free vibration of METE nanoplates under magneto-electro-thermo-mechanical loads. The focus of this paper is the study of the static behavior of functionally graded nanoplates subjected to mechanical, electrical and magnetic loads in a hygro-thermal environment through the use of nonlocal strain gradient theory. Final considerations and remarks are given in order to describe the most important effects observed for the present problem

Theoretical Background
Electric and Magnetic Potentials
Balance Equations
Navier Solution
Applications
Sinusoidal Load
Uniform Load
Conclusions
Methods

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