3D thermo-mechanical solution of transversely isotropic and functionally graded graphene reinforced elliptical plates

Yang, Bo; Mei, Jing; Ding, Chen; Feng, Yu; Yang, Jie

doi:10.1016/j.compstruct.2017.09.086

Cited by 59 publications

(18 citation statements)

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Such nanocomposites can also be used to develop the advanced lightweight structures in aerospace engineering [30]. The mechanical analysis of graphene-based nanocomposite structures has since become a research hotspot in the field of advanced composite structures [31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47]. Song et al [31,32] studied the free and forced vibration, buckling and postbuckling of multilayer graphene nanocomposite plates in which graphene platelets (GPLs) are nonuniformly distributed in a layer-wise manner across the thickness.…”

Section: Accepted Manuscriptmentioning

confidence: 99%

Parametric instability of thermo-mechanically loaded functionally graded graphene reinforced nanocomposite plates

Yang

Kitipornchai

2018

International Journal of Mechanical Sciences

Self Cite

128

View full text Add to dashboard Cite

This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. Highlights  Parametric instability of functionally graded graphene nanocomposite plates in thermal environment is investigated.  Distributing more GPLs near the surface layers of plates can considerably increase the excitation frequency and reduce the size of unstable region.  The influence of GPL geometry becomes much less pronounced as the GPL aspect ratio and width-to-thickness ratio increase.  The effects of compressive force and temperature rise are to reduce the excitation frequency and increase the size of unstable region, while a tensile force has an inverse influence.

show abstract

Section: Accepted Manuscriptmentioning

confidence: 99%

Parametric instability of thermo-mechanically loaded functionally graded graphene reinforced nanocomposite plates

Yang

Kitipornchai

2018

International Journal of Mechanical Sciences

Self Cite

128

View full text Add to dashboard Cite

show abstract

“…The Halpin-Tsai model was used to calculate the effective Young's modulus of a polymer nanocomposite reinforced by graphene nanoplatelets (GPLs), and the comparisons between the theoretical predictions and experimental results were also performed [47,48]. Due to the simple form in mathematics, the Halpin-Tsai micromechanics model has been widely employed to estimate the effective Young's modulus of functionally graded graphene nanoplatelets reinforced composites [27][28][29][30][31][32][33][34][35][36][37]. The main objective of the current work is to propose an adjustable distribution law to find a more effective way to use the GPL reinforcements.…”

Section: Evaluation Of Effective Mechanical Propertiesmentioning

confidence: 99%

“…To address the effects of nanofiller distributions on the mechanical behaviors of FG polymer-based nanocomposites, different types of distributions, such as the uniform distribution (UD), FG-V shape, FG-O shape and FG-X shape, were introduced and employed in many reports, e.g., references [21][22][23][24][25][26]. In addition, the distribution laws in forms of general polynomials have also been implemented [27][28][29]. All existing functions to describe the nanofiller distribution law are not adjustable since no adjustable parameter is included.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Bending and Elastic Vibration of a Novel Functionally Graded Polymer Nanocomposite Beam Reinforced by Graphene Nanoplatelets

Wang

Xie

et al. 2019

Nanomaterials

View full text Add to dashboard Cite

A novel functionally graded (FG) polymer-based nanocomposite reinforced by graphene nanoplatelets is proposed based on a new distribution law, which is constructed by the error function and contains a gradient index. The variation of the gradient index can result in a continuous variation of the weight fraction of graphene nanoplatelets (GPLs), which forms a sandwich structure with graded mechanical properties. The modified Halpin–Tsai micromechanics model is used to evaluate the effective Young’s modulus of the novel functionally graded graphene nanoplatelets reinforced composites (FG-GPLRCs). The bending and elastic vibration behaviors of the novel nanocomposite beams are investigated. An improved third order shear deformation theory (TSDT), which is proven to have a higher accuracy, is implemented to derive the governing equations related to the bending and vibrations. The Chebyshev–Ritz method is applied to describe various boundary conditions of the beams. The bending displacement, stress state, and vibration frequency of the proposed FG polymer-based nanocomposite beams under uniformly distributed loads are provided in detail. The numerical results show that the proposed distributions of GPL nanofillers can lead to a more effective pattern of improving the mechanical properties of GPL-reinforced composites than the common ones.

show abstract

“…[16] based on three-dimensional elasticity theory. Three-dimensional thermoelastic analysis of a fucntionally graded elliptical plate with clamped edges was studied based in three-dimensional elasticity theory by Yang [17] for the case that weight fraction is changed gradually along the thickness direction.…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of micro plate reinforced with functionally graded graphene nanoplatelets based on modified strain-gradient formulation

Bidgoli

Arefi

2019

Jnl of Sandwich Structures & Materials

View full text Add to dashboard Cite

In this paper, modified strain-gradient theory is developed for size-dependent formulation of micro plate reinforced with functionally graded graphene nanoplatelets. The reinforced micro plate is subjected to thermal and mechanical loads. The functionally graded graphene nanoplatelets are distributed along the thickness direction based on various patterns. The effective material properties of reinforced structure including modulus of elasticity and density or Poisson’s ratio are calculated based on Halpin–Tsai model and rule of mixture, respectively. The kinematic relations are developed based on third-order shear deformation theory. The solution procedure is proposed based on analytical work for custom boundary condition. Before presentation of numerical results, a comprehensive comparative study is performed for validation of present formulation. The numerical results are presented to investigate the influence of important parameters such as weight fraction of GNPs, various distribution of GNPs, three micro length scale parameters and some non-dimensional geometric parameters on the vibration responses.

show abstract

3D thermo-mechanical solution of transversely isotropic and functionally graded graphene reinforced elliptical plates

Cited by 59 publications

References 30 publications

Parametric instability of thermo-mechanically loaded functionally graded graphene reinforced nanocomposite plates

Parametric instability of thermo-mechanically loaded functionally graded graphene reinforced nanocomposite plates

Bending and Elastic Vibration of a Novel Functionally Graded Polymer Nanocomposite Beam Reinforced by Graphene Nanoplatelets

Free vibration analysis of micro plate reinforced with functionally graded graphene nanoplatelets based on modified strain-gradient formulation

Contact Info

Product

Resources

About