Stability and dynamic behavior of porous FGM beam: influence of graded porosity, graphene platelets, and axially varying loads

Priyanka, Richa; Twinkle, C M; Pitchaimani, Jeyaraj

doi:10.1007/s00366-021-01478-5

Cited by 32 publications

(16 citation statements)

References 67 publications

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“…Obtained results are reported in Table 1. The data show an excellent agreement between the present study and the study of Priyanka et al [8]. The results of Priyanka et al [8] are slightly different from those of present study because quasi-3D theory was employed to model the beam in [8], whereas PSBT, which is a higher-order beam theory, is adopted for the current study.…”

Section: Validationsupporting

confidence: 67%

“…For the validation purpose, the studied beam is modified to become a single-layer GPL-RP beam by omitting the two piezoelectric layers in the analysis. The natural frequency of this beam was investigated by Priyanka et al [8] employing quasi-3D theory. Properties and geometries of GPLs are taken as in the material introduction of Section 3.…”

Section: Validationmentioning

confidence: 99%

“…Properties and geometries of GPLs are taken as in the material introduction of Section 3. Metal matrix of the porous layer is copper (Cu) which has material properties as E Cu = 130 GPa, ρ Cu = 8960 kg/m 3 , µ Cu = 0.34 [8]. Obtained results are reported in Table 1.…”

Section: Validationmentioning

confidence: 99%

“…Kitipornchai et al [7] studied the fundamental frequency and the critical buckling load of GPL-RP beams with different combinations of GPL and porosity distributions. Using quasi-3D beam theory, which includes both shear strain and thickness stretching effect, Priyanka et al [8] investigated the free vibration and buckling of GPL-RP beam under axially variable loads. Xu et al [9] analyzed the free vibration of GPL-RP beam with spinning movement by the differential transformation method.…”

Section: Introductionmentioning

confidence: 99%

“…The first non-dimensional frequency ω = ωL ρ Cu 1 − µ 2 Cu /E Cu[8] of single-layer GPL-RP beam (L/h = 20, W GPL = 1 wt.%)…”

mentioning

confidence: 99%

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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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Section: Validationsupporting

confidence: 67%

Section: Validationmentioning

confidence: 99%

Section: Validationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…The first non-dimensional frequency ω = ωL ρ Cu 1 − µ 2 Cu /E Cu[8] of single-layer GPL-RP beam (L/h = 20, W GPL = 1 wt.%)…”

mentioning

confidence: 99%

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

2022

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Buckling analysis of composite plates surface bonded with graphene‐reinforced piezoelectric actuators

Jin,

Leng,

Yang

2023

Polymer Composites

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Graphene is a highly conductive and exceptional material that has shown potential for significantly improving the piezoelectric and mechanical properties of piezoelectric matrix. This paper examines the stability of composite plates surface bonded with graphene‐reinforced composite piezoelectric (GRCP) actuators. However, the significant differences in material characteristics at the interfaces will pose some challenges in analyzing the buckling behavior of piezoelectric composite plates by means of existing higher‐order shear deformation theories. To address this issue, a refined plate theory is developed for the buckling analysis of piezoelectric composite plates. The developed theory includes a new interlaminar shear stress field that precisely describes the distribution of interlaminar shear stresses, which differs from earlier higher‐order theories. It should be emphasized that the finite element formulation can be simplified by removing the second‐order derivatives of in‐plane displacement parameters from interlaminar shear stresses. In terms of the developed theory, a four‐node C0 quadrilateral plate element is introduced to examine the buckling behavior of piezoelectric composite plates. Furthermore, the modified interlaminar shear stress field is absorbed into the strain energy, significantly improving the ability to predict the critical loads of composite plates with GRCP actuators. The refined plate model is evaluated through the utilization of three‐dimensional (3D) elasticity solutions and results obtained from other associated theories. Numerical results demonstrate that the refined plate model is capable of producing favorable results, and a comprehensive examination is conducted to analyze the effects of significant parameters on the buckling behaviors of piezoelectric composite plates. This study sets a solid foundation for future research and development on the application of graphene‐reinforced composite piezoelectric actuators in composite structures.Highlights Buckling analysis of composite plates with GRCP actuators is conducted. A refined plate theory with modified interlaminar shear stresses is developed. The ability to predict critical loads can be significantly improved. The finite element formulation can be simplified based on the proposed model. Comprehensive parametric studies on buckling behavior are caried out.

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Critical lateral‐torsional buckling loads of porous orthotropic rectangular beams containing warping effects

Turan

2024

Z Angew Math Mech

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Due to their elemental porosity, porous materials display individual mechanical properties, rendering them essential components in various engineering applications. So, this study investigates the lateral‐torsional buckling (LTB) sensitivity of porous orthotropic rectangular beams subjected to a concentrated load, including the warping effects. Porosity‐dependent material properties vary along the beam's height via four different porosity distribution patterns. The constitutive equations are obtained using the principle of virtual work based on the classical beam theory containing the warping effect, and the governing equations are solved by performing the Ritz method to obtain the critical LTB load. The porous orthotropic beams and the warping effects add complexity to the analysis. So, the influence of some parameters, such as porosity coefficients, porosity distribution patterns, orthotropy, height‐to‐width ratio, slenderness ratio, and warping coefficients, on the LTB characteristics of porous orthotropic rectangular beams are investigated in detail. The novelty of this study lies in its comprehensive LTB analysis of orthotropic rectangular beams under specific effects, such as porosity and warping factors. The findings offer valuable insights into the LTB characteristics of orthotropic porous beams, contributing to an improved comprehension of their structural behavior and facilitating the design of engineering structures. This study contributes to the composite materials and structural stability analysis, offering potential applications in many engineering domains.

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Stability and dynamic behavior of porous FGM beam: influence of graded porosity, graphene platelets, and axially varying loads

Cited by 32 publications

References 67 publications

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

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

Buckling analysis of composite plates surface bonded with graphene‐reinforced piezoelectric actuators

Critical lateral‐torsional buckling loads of porous orthotropic rectangular beams containing warping effects

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