The propagation of uncertainty in the geometrically nonlinear responses of smart sandwich porous cylindrical shells reinforced with graphene platelets

Khayat, Majid; Baghlani, Abdolhossein; Najafgholipour, Mohammad Amir

doi:10.1016/j.compstruct.2020.113209

Cited by 36 publications

(5 citation statements)

References 98 publications

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“…They developed kriging enhanced Neural Network meta-model based stochastic iso-geometric analysis framework and concluded that buckling modes would not be influenced by variation in material properties. Uncertainty propagation in smart sandwich porous cylindrical shells reinforced with GPLs on their nonlinear dynamic response considering various loading conditions was carried out by Khayat et al 45 Gao studied the probabilistic stability analysis of FGP-GPL reinforced beams. They used their previously developed CMM-DSC framework to study the probabilistic buckling behaviors of FGP-GPL reinforced beams, and reported that the porosity distribution factor is the most sensitive variable for the stability of nanocomposite beams followed by porosity index and GPL weight fraction.…”

Section: Introductionmentioning

confidence: 99%

Influence of material uncertainties on thermo-elastic vibration characteristics of graphene reinforced functionally graded porous beams

Mohd

Talha

2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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This paper aims to study the influence of material uncertainties on thermo-elastic vibration response of functionally graded porous (FGP) beams reinforced with graphene platelets (GPLs) using the perturbation-based stochastic finite element method. The influence of material uncertainty on the vibration behavior of FGP-GPL reinforced beams subjected to thermal loading conditions have been discussed for low variability (randomness) in material design parameters (porosity content, amount of nanofillers) and material properties (Young’s modulus, density of metal matrix, and nanofillers) respectively. A C0 continuous stochastic finite element formulation based on higher-order shear deformation theory has been formulated. The convergence and validation of the present formulation have been compared with a traditional Monte-Carlo simulation to establish the accuracy of the present methodology. The homogenized effective material properties are estimated using the Halpin-Tsai micromechanics model and Voigt’s rule of mixture and are typically assumed to be varying along the thickness direction. The results highlighting the effect of uncertainty in material properties on the thermo-elastic vibration response of FGP-GPL reinforced beams have been discussed thoroughly.

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Section: Introductionmentioning

confidence: 99%

Influence of material uncertainties on thermo-elastic vibration characteristics of graphene reinforced functionally graded porous beams

Mohd

Talha

2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…Extensive scholarly endeavors have been dedicated to the rigorous investigation of the prognostication of displacements, stress distributions, natural frequencies, and critical load assessments within sandwich and laminated structures featuring diverse categories of actuators. This research domain has been extensively explored in the existing academic literature [29][30][31][32][33]. Additionally, a lot of aeronautical functionally graded structures reinforced with graphene [34] are actively controlled by utilizing various piezoelectric materials.…”

Section: Introductionmentioning

confidence: 99%

“…Additionally, a lot of aeronautical functionally graded structures reinforced with graphene [34] are actively controlled by utilizing various piezoelectric materials. To scrutinize the impact of nonlinear mechanical responses in intelligent cylindrical structures, Khayat and collaborators [30] employed the Newton-Raphson method in conjunction with the Newmark direct integration technique for the computation of the nonlinear governing equations. The FSDT, Maxwell's equation and extended principle of Hamilton were performed by Majidi-Mozafari et al [40] to derive the analytical solutions of smart sandwich plate under Levy-type boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Electro-mechanical coupling model and interlaminar stress analysis of laminated plates containing GSR actuator

Ma,

Zhang,

Zhang

2023

Phys. Scr.

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Due to its remarkable physical features, graphene nanosheets (GPN) are one of the most appealing reinforcing materials for composites. For polyvinylidene fluoride (PVDF), GPN reinforced composites can dramatically increase its piezoelectric and mechanical characteristics. If the interlaminar shear deformation of laminated plates containing uniform graphene sheets reinforced (GSR) smart piezoelectric layer, which material properties vary widely from layer to layer and subjected to electromechanical loading cannot be accurately predicted, the interlaminar stresses may be very high, eventually leading to interlaminar failure. In light of this, an effective mechanoelectrical coupling model for the accurate prediction of interlaminar stress for composite plates contains GSR actuators is developed in present study. Meanwhile, the finite element formulation (FEF) can be substantially simplified due to the expression of transverse shear stress components becoming more succinct. Therefore, by using the suggested electro-mechanical coupling theory, a three-node FEF is easily constructed. The refinement of transverse shear stress prediction in the context of electromechanical coupling can be accomplished through the application of the Reissner mixed variation theory (RMVT). The performance of the recommended plate model will be evaluated using the results derived from three-dimensional (3D) elastic theory and the selected model. By employing the RMVT method, we improve predictions of transverse shear stresses while considering the electromechanical coupling effect. The results from our model are compared with alternative models and 3D elasticity theory, demonstrating its superiority in satisfying the continuity requirements of transverse shear stresses and exhibiting excellent agreement with exact solutions. This validates the accuracy and applicability of our proposed model. Further to that, the prediction of mechanical characteristics for laminated plates with GSR actuators were systematically studied from the thoroughly perspectives of electromechanical load, piezoelectric layer thickness, graphene volume fraction, and some other parameters.

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“…In this study, they also explored the sensitivity of the vibration response for the uncertain material and geometric specifications of reinforcements while considering various porous distributions and GPLs' patterns. Khayat et al 38 dealt with the uncertainty propagation in the nonlinear dynamic response of smart sandwich cylindrical panels with FG-GPLs reinforced porous core in between two piezoelectric layers. They found the dynamic response of the panels subjected to sine, rectangular, and exponential loading by taking material, geometric, and piezoelectric parameters into account.…”

Section: Introductionmentioning

confidence: 99%

On the stochastic natural frequency of graphene reinforced functionally graded porous panels with unconventional boundary conditions

Shakir

Talha

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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The present study explores the stochastic natural frequency of graphene reinforced functionally graded porous panels with unconventional boundary conditions. The material uncertainty is considered in the parameters associated with constituents that is, metal and graphene nanoplatelets (GPLs) individually and simultaneously. The metal matrix is reinforced with ultra-lightweight and high stiffness carbonaceous nanofiller, that is, GPLs. Halpin-Tsai micromechanics model is adopted to estimate effective Young’s modulus of the metal-GPLs composite whereas effective mass density and Poisson’s ratio are calculated using the Voigt model. The micro-structural gradation by creating pores is accomplished along the thickness direction of the panel employing certain continuous functions. These functions describe symmetric and asymmetric porosity distributions and associated patterns of GPLs. The equation of motion is developed using Euler-Lagrange’s equation which is based on C0-continuous structural kinematics with 7 degrees of freedom. Finite element modeling in conjunction with the first-order perturbation technique has been applied to quantify the stochastic natural frequency in terms of the mean and standard deviation of the natural frequency. Various results have been examined to highlight the influence of parameters especially related to porosity, and graphene nanoplatelets on the stochastic natural frequency of FG-GPLs porous panel constrained with conventional and unconventional boundary conditions.

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The propagation of uncertainty in the geometrically nonlinear responses of smart sandwich porous cylindrical shells reinforced with graphene platelets

Cited by 36 publications

References 98 publications

Influence of material uncertainties on thermo-elastic vibration characteristics of graphene reinforced functionally graded porous beams

Influence of material uncertainties on thermo-elastic vibration characteristics of graphene reinforced functionally graded porous beams

Electro-mechanical coupling model and interlaminar stress analysis of laminated plates containing GSR actuator

On the stochastic natural frequency of graphene reinforced functionally graded porous panels with unconventional boundary conditions

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