A unified solution for vibration analysis of laminated functionally graded shallow shells reinforced by graphene with general boundary conditions

Qin, Zhaoye; Zhao, Shengnan; Pang, Xuejia; Safaei, Babak; Chu, Fulei

doi:10.1016/j.ijmecsci.2019.105341

Cited by 187 publications

(19 citation statements)

References 67 publications

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“…Graphene nanoplatelets (GNPs) are platelet-like graphite nanocrystals with a platelet thickness in the range of 0.35–100 nm containing multiple graphene layers [ 5 ]. It is known that among different carbon fillers, the one with a platelet shape offers advantages over other morphologies: (i) they can be dispersed uniformly, compared to CNTs; (ii) they possess a high surface area improving load-transfer properties; (iii) GNPs, with a two-dimensional lattice of sp 2 - bonded carbon, may enable heat transferred in a plane, which can further increase the thermal performance of polymers; and (iv) additional advantages of GNPs over other types of fillers are its moderate cost and ease of processing [ 6 , 7 , 8 , 9 ].…”

Section: Introductionmentioning

confidence: 99%

Influence of Graphene Platelet Aspect Ratio on the Mechanical Properties of HDPE Nanocomposites: Microscopic Observation and Micromechanical Modeling

et al. 2020

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A series of high-density polyethylene nanocomposites filled with different diameter sizes (5, 15, and 25 μm) of graphene nanoplatelets at various amounts (0.5–5 wt.%) are prepared by the melt-mixing method. The effect of diameter size and filler content on the mechanical properties is reported, and the results are discussed in terms of morphology and the state of dispersion within the polymer matrix. The measured stiffness and strength of the nanocomposites were found to be mainly influenced by the filler aspect ratio and the filler-matrix adhesion. Fractography was utilized to study the embrittleness of the nanocomposites, and the observations revealed that a ductile to brittle transition is caused by a micro-deformation mechanism change in the nanocomposites. Several micromechanical models for the prediction of mechanical properties of nanocomposites, taking into consideration filler aspect ratio, percolation effect, and interphase regions, are considered. The three-phase model proposed by Ji accurately predicts the stiffness of graphene nanoplatelets with a higher diameter size, while Takayanagi modified model II was found to show good agreement with the experimental results of smaller ones at low filler content. This study demonstrates that the diameter size of the filler plays a central role in determining the mechanical properties.

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Section: Introductionmentioning

confidence: 99%

Influence of Graphene Platelet Aspect Ratio on the Mechanical Properties of HDPE Nanocomposites: Microscopic Observation and Micromechanical Modeling

et al. 2020

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“…Through the description of the moderately thick composite laminated cylindrical shell, the displacement resultant of the shell is shown by the middle surface displacements and rotation variables, expressed as [2,[49][50][51][52][53][54][55]:…”

Section: Kinematic Relations and Stress Resultantsmentioning

confidence: 99%

Free Vibration Analysis of Closed Moderately Thick Cross-Ply Composite Laminated Cylindrical Shell with Arbitrary Boundary Conditions

Shi

Wang

et al. 2020

Materials

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A semi-analytic method is adopted to analyze the free vibration characteristics of the moderately thick composite laminated cylindrical shell with arbitrary classical and elastic boundary conditions. By Hamilton’s principle and first-order shear deformation theory, the governing equation of the composite shell can be established. The displacement variables are transformed into the wave function forms to ensure the correctness of the governing equation. Based on the kinetic relationship between the displacement variables and force resultants, the final equation associated with arbitrary boundary conditions is established. The dichotomy method is conducted to calculate the natural frequencies of the composite shell. For verifying the correctness of the present method, the results by the present method are compared with those in the pieces of literatures with various boundary conditions. Furthermore, some numerical examples are calculated to investigate the effect of several parameters on the composite shell, such as length to radius ratios, thickness to radius ratios and elastic restrained constants.

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“…In fact, such nano-carbon are currently regarded as ideal candidates for imparting sensing abilities, hence also smartness and multifunctionality to a whole range of composites for a wide range of applications such as in the fields of materials engineering, electronics and aerospace [ 4 , 16 , 17 , 18 , 19 ]. At the same time, extensive analytical research has been focused on the investigation of the nano-fillers’ effects in nanocomposite materials [ 20 , 21 , 22 , 23 ]. CNTs are most commonly produced by chemical vapor deposition (CVD) and their diameters range from 0.4 nm (single-walled tubes, SWCNT) to couple tens of nm (multi-walled tens, MWCNTs).…”

Section: Introductionmentioning

confidence: 99%

Multifunctional Cement Mortars Enhanced with Graphene Nanoplatelets and Carbon Nanotubes

Dalla

Tragazikis

Trakakis

et al. 2021

Sensors

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Recent findings have brought forward the potential of carbon nano-species, especially nanotubes and graphene, to impart exceptional multifunctional potential to cement, offering simultaneous enhancement of mechanical, fracture mechanical and electrical properties. While available knowledge on the topic is still limited, there is a complete absence of direct comparisons of the potential of the nano-species to improve strength and toughness and provide multifunctionality to the mortars. The study offers a comprehensive overview of these potentials, for mortars modified with pure graphene nanoplatelets and carbon nanotubes at consistent, directly comparable, concentrations up to 1.2 wt.%. Testing included flexure under pure bending moments, axial compression, electrical resistivity measurements and fracture tests under three point bending configuration; the latter were also independently assessed by acoustic emission. Differences in documented properties and optimal concentrations associated with improved mechanical performance were directly compared and rationalized in terms of nanospecies morphology. Dramatic, statistically consistent improvements in fracture behavior, up to 10-fold of control values, were documented for specific nanofiller concentrations, indicating an excellent potential of the material system for contemporary smart construction applications. An exceptionally favorable comparison of acoustic emission and fracture energy data confirmed that the non-destructive technique can independently assess the fracture performance of mortars with exceptional precision.

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A unified solution for vibration analysis of laminated functionally graded shallow shells reinforced by graphene with general boundary conditions

Cited by 187 publications

References 67 publications

Influence of Graphene Platelet Aspect Ratio on the Mechanical Properties of HDPE Nanocomposites: Microscopic Observation and Micromechanical Modeling

Influence of Graphene Platelet Aspect Ratio on the Mechanical Properties of HDPE Nanocomposites: Microscopic Observation and Micromechanical Modeling

Free Vibration Analysis of Closed Moderately Thick Cross-Ply Composite Laminated Cylindrical Shell with Arbitrary Boundary Conditions

Multifunctional Cement Mortars Enhanced with Graphene Nanoplatelets and Carbon Nanotubes

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