The Nonlocal Strain Gradient Theory for Hygrothermo-Electromagnetic Effects on Buckling, Vibration and Wave Propagation in Piezoelectromagnetic Nanoplates

Abazid, Mohammad Alakel

doi:10.1142/s1758825119500674

Cited by 27 publications

(9 citation statements)

References 58 publications

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“…The nonlocal parameter (µ) and material length scale parameter (l) vary from 0(nm) to 4(nm) [46,47,49].…”

Section: Buckling Analysis Of Fg Cylindrical Nanopanelsmentioning

confidence: 99%

“…Ebrahimi and Heidari [43] investigated surface effects on nonlinear vibration of embedded FG nanopanels resting on a Pasternak linear elastic foundation based on the third-order shear deformation plate theory and von Karman nonlinearity in conjunction with Gurtin-Murdoch surface continuum theory. Using the nonlocal strain gradient theory, the vibration of FG piezoelectric nanopanels [44] and effects of hygro-thermal, electromagnetic on buckling, vibration and wave propagation in nanopanels were also investigated in [45,46].…”

Section: Introductionmentioning

confidence: 99%

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An Analytical Approach for Buckling of FG Cylindrical Nanopanels Resting on Pasternak’s Foundations in the Thermal Environment

Do Quang Chan,

Bui Gia Phi,

Nguyen Thi Thu Nga

et al. 2024

AAMM

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In this article, the effects of temperature and size-dependent on the buckling behavior of functionally graded (FG) cylindrical nanopanels resting on elastic foundation using nonlocal strain gradient theory are investigated in detail analytical approach. According to a simple power-law distribution, the material properties of FG cylindrical nanopanels are assumed to vary continuously through the thickness direction. The Pasternak model is used to describe the reaction of the elastic foundation on the FG cylindrical nanopanels. The fundamental relations and stability equations are derived by applying the nonlocal strain gradient theory and the classical shell theory based on the adjacent equilibrium criterion. Using Galerkin's method, the mechanical buckling behavior of FG cylindrical nanopanels resting on an elastic foundation in the thermal environment is solved. The reliability of the obtained results has been verified by comparison with the previous results in the literature. Based on the obtained results, the influences of the material length scale parameter, the nonlocal parameter, temperature increment, geometric parameters, material properties, and elastic foundation on buckling behaviors of FG cylindrical nanopanels resting on an elastic foundation in the thermal environment are analyzed and discussed.

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“…The nonlocal parameter (µ) and material length scale parameter (l) vary from 0(nm) to 4(nm) [46,47,49].…”

Section: Buckling Analysis Of Fg Cylindrical Nanopanelsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An Analytical Approach for Buckling of FG Cylindrical Nanopanels Resting on Pasternak’s Foundations in the Thermal Environment

Do Quang Chan,

Bui Gia Phi,

Nguyen Thi Thu Nga

et al. 2024

AAMM

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“…In order to enhance the exceptional features of such materials, they have been exploited and strengthened with various reinforcements, including nanotubes of boron-nitride [1], piezoelectric and piezoelectromagnetic fibrous materials [2,3], and graphene platelets (GPLs) [4]. The extraordinary kind of composite structure with piezoelectric materials is intensively characterized by electromechanical coupling features along with their effective ability to transform the main energy and production of electrical currents from applied mechanical stresses [5][6][7][8][9]. Accordingly, notable research efforts were carried out to focus on the behavior of such materials, employing functionally graded materials (FGMs) more effectively, as demonstrated by Carl et al [10].…”

Section: Introductionmentioning

confidence: 99%

Investigating Electromechanical Buckling Response of FG-GPL-Reinforced Piezoelectric Doubly Curved Shallow Shells Embedded in an Elastic Substrate

2023

Self Cite

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This work reports the investigations of the electric potential impacts on the mechanical buckling of the piezoelectric nanocomposite doubly curved shallow shells reinforced by functionally gradient graphene platelets (FGGPLs). A four-variable shear deformation shell theory is utilized to describe the components of displacement. The present nanocomposite shells are presumed to be rested on an elastic foundation and subject to electric potential and in-plane compressive loads. These shells are composed of several bonded layers. Each layer is composed of piezoelectric materials strengthened by uniformly distributed GPLs. The Halpin–Tsai model is employed to calculate the Young’s modulus of each layer, whereas Poisson’s ratio, mass density, and piezoelectric coefficients are evaluated based on the mixture rule. The graphene components are graded from one layer to another according to four different piecewise laws. The stability differential equations are deduced based on the principle of virtual work. To test the validity of this work, the current mechanical buckling load is analogized with that available in the literature. Several parametric investigations have been performed to demonstrate the effects of the shell geometry elastic foundation stiffness, GPL volume fraction, and external electric voltage on the mechanical buckling load of the GPLs/piezoelectric nanocomposite doubly curved shallow shells. It is found that the buckling load of GPLs/piezoelectric nanocomposite doubly curved shallow shells without elastic foundations is reduced by increasing the external electric voltage. Moreover, by increasing the elastic foundation stiffness, the shell strength is enhanced, leading to an increase in the critical buckling load.

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“…Ebrahimi and Dabbagh [18] explored wave propagation behaviors of piezoelectric nanoplates by considering surface effects and the NSGT. Furthermore, Abazid [19] investigated the hygrothermal effects of wave propagation in embedded piezoelectromagnetic nanoplates based on the NSGT. It can be seen that most of the above studies have focused on homogeneous material structures and rarely involved composite materials.…”

Section: Introductionmentioning

confidence: 99%

Wave propagation analysis of porous functionally graded piezoelectric nanoplates with a visco-Pasternak foundation

Liu

et al. 2022

Appl. Math. Mech.-Engl. Ed.

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This study investigates the size-dependent wave propagation behaviors under the thermoelectric loads of porous functionally graded piezoelectric (FGP) nanoplates deposited in a viscoelastic foundation. It is assumed that (i) the material parameters of the nanoplates obey a power-law variation in thickness and (ii) the uniform porosity exists in the nanoplates. The combined effects of viscoelasticity and shear deformation are considered by using the Kelvin-Voigt viscoelastic model and the refined higher-order shear deformation theory. The scale effects of the nanoplates are captured by employing nonlocal strain gradient theory (NSGT). The motion equations are calculated in accordance with Hamilton’s principle. Finally, the dispersion characteristics of the nanoplates are numerically determined by using a harmonic solution. The results indicate that the nonlocal parameters (NLPs) and length scale parameters (LSPs) have exactly the opposite effects on the wave frequency. In addition, it is found that the effect of porosity volume fractions (PVFs) on the wave frequency depends on the gradient indices and damping coefficients. When these two values are small, the wave frequency increases with the volume fraction. By contrast, at larger gradient index and damping coefficient values, the wave frequency decreases as the volume fraction increases.

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The Nonlocal Strain Gradient Theory for Hygrothermo-Electromagnetic Effects on Buckling, Vibration and Wave Propagation in Piezoelectromagnetic Nanoplates

Cited by 27 publications

References 58 publications

An Analytical Approach for Buckling of FG Cylindrical Nanopanels Resting on Pasternak’s Foundations in the Thermal Environment

An Analytical Approach for Buckling of FG Cylindrical Nanopanels Resting on Pasternak’s Foundations in the Thermal Environment

Investigating Electromechanical Buckling Response of FG-GPL-Reinforced Piezoelectric Doubly Curved Shallow Shells Embedded in an Elastic Substrate

Wave propagation analysis of porous functionally graded piezoelectric nanoplates with a visco-Pasternak foundation

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