Hygrothermal vibration of orthotropic double-layered graphene sheets embedded in an elastic medium using the two-variable plate theory

Sobhy, Mohammed

doi:10.1016/j.apm.2015.04.037

Cited by 70 publications

(9 citation statements)

References 63 publications

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“…This model was extended by Malekzadeh and Shojaee [179] and Narendar and Gopalakrishnan [180] to the free vibration analysis of nanoplates [179] and buckling analysis of orthotropic nanoplates [180]. This model was also employed by Sobhy [181] to examine the free vibration of orthotropic DLGSs under hydrothermal conditions. Sobhy [182] presented a general HSDT model for MLGSs based on the simple HSDTs of Thai and Choi [121] (see Table 1).…”

Section: Nonlocal Models Based On Hsdtsmentioning

confidence: 99%

A review of continuum mechanics models for size-dependent analysis of beams and plates

Thai

Nguyen

et al. 2017

Composite Structures

324

112

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This paper presents a comprehensive review on the development of higher-order continuum models for capturing size effects in small-scale structures. The review mainly focus on the size-dependent beam, plate and shell models developed based on the nonlocal elasticity theory, modified couple stress theory and strain gradient theory due to their common use in predicting the global behaviour of small-scale structures. In each higher-order continuum theory, various size-dependent models based on the classical theory, first-order shear deformation theory and higher-order shear deformation theory were reviewed and discussed. In addition, the development of finite element solutions for size-dependent analysis of beams and plates was also highlighted. Finally a summary and recommendations for future research are presented. It is hoped that this review paper will provide current knowledge on the development of higher-order continuum models and inspire further applications of these models in predicting the behaviour of micro-and nano-structures.

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Section: Nonlocal Models Based On Hsdtsmentioning

confidence: 99%

A review of continuum mechanics models for size-dependent analysis of beams and plates

Thai

Nguyen

et al. 2017

Composite Structures

324

112

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“…Graphene as a two-dimensional sheet of carbon atoms having outstanding mechanical, chemical, and physical properties has attracted the attention of many authors to study its properties [1][2][3][4], bending rigidity [5], and behaviors under different conditions [6][7][8][9][10][11][12][13][14][15]. From this point of view, it has been considered as an ideal material for reinforcement of various matrices such as polymer, metals, and ceramics.…”

Section: Introductionmentioning

confidence: 99%

Differential quadrature method for magneto-hygrothermal bending of functionally graded graphene/Al sandwich-curved beams with honeycomb core via a new higher-order theory

Sobhy

2020

Jnl of Sandwich Structures & Materials

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Based on the differential quadrature method (DQM), the bending of sandwich-curved beams with graphene platelets/aluminum (GPLs/Al) nanocomposite face sheets and aluminum honeycomb core is investigated using a new shear and normal deformations curved beam theory. The present new model is resting on elastic foundation and subjected to a circumferential magnetic field, thermal load, and humid conditions. The face sheets are made of several bonded composite layers with randomly oriented and uniformly distributed graphene platelets in each layer. The mechanical and hygrothermal properties of the faces are assumed to be functionally graded (FG) using a piece-wise law by varying the weight fraction of the GPLs in the face thickness direction. Four governing differential equations are derived based on a novel four-variable curved beam theory taking into account the thickness stretching effect. The governing equations are solved for various boundary conditions on the basis of the DQM.

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“…Arani et al 27 examined nonlocal vibration of axially moving graphene sheet resting on orthotropic visco-Pasternak foundation under longitudinal magnetic field. Sobhy 28 analyzed the hygro-thermal vibrational behavior of the coupled graphene sheets by an elastic medium using the two-variable plate theory. Also, Zenkour 29 performed the transient thermal analysis of the graphene sheets on the viscoelastic foundation based on the nonlocal elasticity theory.…”

Section: Introductionmentioning

confidence: 99%

Vibration analysis of graphene sheets resting on the orthotropic elastic medium subjected to hygro-thermal and in-plane magnetic fields based on the nonlocal strain gradient theory

Ebrahimi

Barati

2017

Proceedings of the Institution of Mechanical Engineers, Part C:

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This paper develops a nonlocal strain gradient plate model for vibration analysis of the graphene sheets under in-plane magnetic field and hygro-thermal environments. For more accurate analysis of the graphene sheets, the proposed theory contains two-scale parameters related to the nonlocal and strain gradient effects. The graphene sheet is modeled via a two-variable shear deformation plate theory needless of shear correction factors. Governing equations of a nonlocal strain gradient graphene sheet on elastic substrate are derived via Hamilton’s principle. Galerkin’s method is implemented to solve the governing equations for different boundary conditions. Effects of different factors such as moisture concentration rise, temperature rise, nonlocal parameter, length scale parameter, elastic foundation, and magnetic field on vibration characteristics of the graphene sheets are examined.

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Hygrothermal vibration of orthotropic double-layered graphene sheets embedded in an elastic medium using the two-variable plate theory

Cited by 70 publications

References 63 publications

A review of continuum mechanics models for size-dependent analysis of beams and plates

A review of continuum mechanics models for size-dependent analysis of beams and plates

Differential quadrature method for magneto-hygrothermal bending of functionally graded graphene/Al sandwich-curved beams with honeycomb core via a new higher-order theory

Vibration analysis of graphene sheets resting on the orthotropic elastic medium subjected to hygro-thermal and in-plane magnetic fields based on the nonlocal strain gradient theory

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