Abstract

Design optimization of graphene laminates for maximum fundamental frequency

Highlights

  • During the last decade graphene nanostructures have attracted great attention in the literature

  • The main aim of the current study is to point out the crotchet features arising in the design optimization of graphene laminates based on the theoretical analysis performed and numerical results obtained

  • The current study is based on the continuum mechanics approach

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Summary

INTRODUCTION *

During the last decade graphene nanostructures have attracted great attention in the literature. The main approaches used to describe the small-scale effect in the analysis of nanostructures include nonlocal continuum mechanics and the atomic theory of lattice dynamics [1]. In the literature a number of continuum mechanics based plate models are available for describing nonlocal elasticity theory. New trends cover analysis of laminated nanostructures, functionally graded materials [15,16,17], and graphene structures [18,19,20,21]. The main aim of the current study is to improve the vibration properties (fundamental frequency) of multilayer graphene sheets by determining the optimal configuration of design parameters such as orientation of the layers, material properties, etc. The global optimization methods and techniques developed for design optimization of composite structures and manufacturing processes were adapted by our research group for design optimization of graphene laminates [31,32,33,34]

NONLOCAL ELASTICITY APPROACH
NONLOCAL CONSTITUTIVE RELATIONS IN TERMS OF DISPLACEMENTS
NONLOCAL PLATE MODEL
FORMULATION OF THE OPTIMIZATION PROBLEM
Homogenized plate
Layerwise laminate plate theory
CONCLUSION

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