Dynamic characteristics of functionally graded graphene reinforced porous nanocomposite curved beams based on trigonometric shear deformation theory with thickness stretch effect

Ganapathi, M.; Bharath, Anirudh; Chandra, Anant; Polit, O.

doi:10.1080/15376494.2019.1601310

Cited by 37 publications

(6 citation statements)

References 34 publications

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“…f o in equation ( 3) is determined based on the condition that the total masses of the porous core with the uniform and symmetric porosity distributions are equal for a meaningful comparison. Then, substituting equations (3) and (4) into the density equation of equation ( 2) combined with the equal condition of the total masses deduces 21 :…”

Section: Effective Materials Propertiesmentioning

confidence: 99%

“…Postbuckling of GPL-reinforced porous beams on elastic foundation considering both geometrical imperfection and non-/uniform distribution of GPLs was investigated by Barati and Zenkour using the classical beam model, 19 and a refined shear deformable beam model. 20 Ganapathi et al 21 studied the dynamic response of GPL-reinforced porous curved beams with different porosity and GPL distributions by Navier solution. Gao et al 22 proposed a non-inclusive Chebyshev metamodel to analyze the probabilistic stability of GPL-reinforced porous beams considering the distributions of stochastic porosity and GPL patterns, as well as the randomness of the material properties.…”

Section: Introductionmentioning

confidence: 99%

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Static bending mesh-free analysis of smart piezoelectric porous beam reinforced with graphene platelets

Hung

Duc

Tú

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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This paper presents static analysis and response of smart piezoelectric porous beams by mesh-free approach. The beam consists of a functionally graded porous core reinforced with graphene platelets (GPLs) and two piezoelectric face layers. The effective material properties of the core vary smoothly through the thickness direction, and they are estimated based upon Halpin–Tsai micromechanical model. The electric potential is assumed to vary linearly across the thickness of the piezoelectric layers. Polynomial basis function-based C1-Hermite interpolation for all displacement and electric potential variables of the problem is proposed for the mesh-free method to discretize the equilibrium equations. Parametric studies are carried out to investigate the effects of material parameters and boundary conditions on the deflection and stresses of the beam subjected to mechanical and/or electrical load(s). Furthermore, the study also highlights the piezoelectric effect on the static bending control of the proposed beam.

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Section: Effective Materials Propertiesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Static bending mesh-free analysis of smart piezoelectric porous beam reinforced with graphene platelets

Hung

Duc

Tú

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…Xu et al [ 8 ] adopted the differential transformation method to investigate the free vibration behavior of FG-GPL porous beams based on the Euler–Bernoulli beam theory under a spinning movement. Ganapathi et al [ 9 ] proposed a trigonometric shear deformation theory, including a thickness stretching effect, to study the dynamic problem of curved beams made of FG-GPL porous nanocomposites, and proposed a closed-form solution as valid tool for further computational investigations. Yas and Rahimi [ 10 ] applied the GDQM to study the thermal vibration of FG-GPL, porous Timoshenko beams.…”

Section: Introductionmentioning

confidence: 99%

Numerical Study on the Buckling Behavior of FG Porous Spherical Caps Reinforced by Graphene Platelets

et al. 2023

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The buckling response of functionally graded (FG) porous spherical caps reinforced by graphene platelets (GPLs) is assessed here, including both symmetric and uniform porosity patterns in the metal matrix, together with five different GPL distributions. The Halpin–Tsai model is here applied, together with an extended rule of mixture to determine the elastic properties and mass density of the selected shells, respectively. The equilibrium equations of the pre-buckling state are here determined according to a linear three-dimensional (3D) elasticity basics and principle of virtual work, whose solution is determined from classical finite elements. The buckling load is, thus, obtained based on the nonlinear Green strain field and generalized geometric stiffness concept. A large parametric investigation studies the sensitivity of the natural frequencies of FG porous spherical caps reinforced by GPLs to different parameters, namely, the porosity coefficients and distributions, together with different polar angles and stiffness coefficients of the elastic foundation, but also different GPL patterns and weight fractions of graphene nanofillers. Results denote that the maximum and minimum buckling loads are reached for GPL-X and GPL-O distributions, respectively. Additionally, the difference between the maximum and minimum critical buckling loads for different porosity distributions is approximately equal to 90%, which belong to symmetric distributions. It is also found that a high weight fraction of GPLs and a high porosity coefficient yield the highest and lowest effects of the structure on the buckling loads of the structure for an amount of 100% and 12.5%, respectively.

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“…[2] for the refined shear deformable model by Barati and Zenkour. Ganapathi et al [3] studied the dynamic response of GPL-RP curved beam by Navier's solution. Gao et al [4] investigated the effects of stochastic porosity distributions, GPL dispersion patterns, as well as random material properties on the stability capacities of GPL-RP beams.…”

Section: Introductionmentioning

confidence: 99%

Analytical solution for free vibration analysis of GPL-RP beam integrated with piezoelectric layers

2022

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This report presents an analytical approach to the natural frequency analysis of a porous beam consisting of a host porous layer reinforced with graphene platelets (GPLs), namely GPL-reinforced porous core, and two piezoelectric outer layers. In the modelling, symmetric distributions of both porosity and GPLs in the core are supposed. The effective mechanical properties of the GPL-reinforced porous core are estimated by Halpin–Tsai model and the rule of mixture. The electric potential in each piezoelectric layer is assumed to vary linearly across its thickness. Two types of electrical boundary conditions, which are open- and closed-circuits, are considered for the free surfaces of the piezoelectric layers. Parabolic shear deformation beam theory associated with Hamilton’s principle is adopted to derive the governing equations of the free vibration. Afterwards these equations are solved analytically by Navier’s solution. Comparative and comprehensive studies are carried out to examine the accuracy and effects of parameters and conditions, such as GPL weight fraction, porosity coefficient, and electrical boundary conditions on the natural frequencies of the beam.

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Dynamic characteristics of functionally graded graphene reinforced porous nanocomposite curved beams based on trigonometric shear deformation theory with thickness stretch effect

Cited by 37 publications

References 34 publications

Static bending mesh-free analysis of smart piezoelectric porous beam reinforced with graphene platelets

Static bending mesh-free analysis of smart piezoelectric porous beam reinforced with graphene platelets

Numerical Study on the Buckling Behavior of FG Porous Spherical Caps Reinforced by Graphene Platelets

Analytical solution for free vibration analysis of GPL-RP beam integrated with piezoelectric layers

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