Size dependent thermo-electro-mechanical nonlinear bending analysis of flexoelectric nano-plate in the presence of magnetic field

Ghobadi, Amin; Beni, Yaghoub Tadi; Golestanian, Hossein

doi:10.1016/j.ijmecsci.2018.12.049

Cited by 68 publications

(17 citation statements)

References 56 publications

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“…The multiplicative decomposition separates the total thermo-electro-elastic deformation gradient into an electro-mechanical contribution F EM and a purely thermal one F T as described in Equation 25, which represents the Duhamel-Neumann hypothesis in the nonlinear deformation theory [59]. (25) where J EM = detF EM > 0 and J T = detF T > 0. If the thermo-electric-elastic material is thermally isotropic, considering a non-isothermal deformation process, for a mechanically incompressible isotropic material, the deformation gradient F T may be given by an isotropic tensor according to [59] as:…”

Section: Non-linear Continuum Framework Of Finite Bending Of the Actumentioning

confidence: 99%

“…Dielectric-based soft actuators have been investigated both experimentally and numerically. From a modeling point of view, few studies have been reported on modeling of multi-trigger thermo-dielectric-based soft actuators in the presence of a coupling between the thermal and dielectric effects [23][24][25]. Most of the previous studies have examined the electric or thermal loading, separately and mostly are focused on their hyperelastic response.…”

Section: Introductionmentioning

confidence: 99%

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Multi-Trigger Thermo-Electro-Mechanical Soft Actuators under Large Deformations

et al. 2020

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Dielectric actuators (DEAs), because of their exceptional properties, are well-suited for soft actuators (or robotics) applications. This article studies a multi-stimuli thermo-dielectric-based soft actuator under large bending conditions. In order to determine the stress components and induced moment (or stretches), a nominal Helmholtz free energy density function with two types of hyperelastic models are employed. Non-linear electro-elasticity theory is adopted to derive the governing equations of the actuator. Total deformation gradient tensor is multiplicatively decomposed into electro-mechanical and thermal parts. The problem is solved using the second-order Runge-Kutta method. Then, the numerical results under thermo-mechanical loadings are validated against the finite element method (FEM) outcomes by developing a user-defined subroutine, UHYPER in a commercial FEM software. The effect of electric field and thermal stimulus are investigated on the mean radius of curvature and stresses distribution of the actuator. Results reveal that in the presence of electric field, the required moment to actuate the actuator is smaller. Finally, due to simplicity and accuracy of the present boundary problem, the proposed thermally-electrically actuator is expected to be used in future studies and 4D printing of artificial thermo-dielectric-based beam muscles.

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Section: Non-linear Continuum Framework Of Finite Bending Of the Actumentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Multi-Trigger Thermo-Electro-Mechanical Soft Actuators under Large Deformations

et al. 2020

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“…Consequently, manufacturing technologies were extended to make functionally graded (FG) layers in micron and submicron dimensions with the desired electrical and mechanical properties at their bottom and top sides. Therefore, many researchers have focused on the thermal [38][39][40] and mechanical [41][42][43][44] behavior of FG micro-and nanostructures. With the rapid advancement of manufacturing technology, CNTs are used as the favorite reinforcements for polymer nanolayers utilized in different engineering applications.…”

Section: Carbon Nanotubes Reinforced Compositesmentioning

confidence: 99%

Bending, buckling and free vibration of nonlocal FG-carbon nanotube-reinforced composite nanobeams: exact solutions

2019

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This paper investigates the bending, buckling and free vibration behaviors of functionally graded carbon nanotubereinforced composite (FG-CNTRC) nanobeams by considering small-scale effect. The governing equations of motion of a Timoshenko beam under a general loading are derived utilizing the nonlocal elasticity theory. The equations governing bending and stretching behavior of CNTRC nanobeams are uncoupled to a fifth-order ordinary differential equation with respect to the rotation of cross-section for the static cases of bending and buckling. This uncoupling makes it possible to develop exact solutions for transverse deflection and buckling load of CNTRC nanobeams. Using differential operator method, the decoupled sixth-order differential equations in terms of the kinematic variables are obtained for vibration analysis. By setting the coefficients matrix in the corresponding system of homogenous algebraic equations to zero, an algebraic frequency equation is derived. Finally, based on the presented closed-form solutions, parametric studies are carried out to assess the effects of CNT distribution, nonlocal parameter and type of boundary conditions on the deflection, buckling and natural frequency of CNTRC nanobeams. Findings show that nonlocal effect on the mechanical behavior of nanobeams is strongly dependent on boundary conditions and loadings. It is seen that cantilever nanobeams become harder by taking into account nonlocal effect, contrary to clamped and simply supported nanobeams. In addition, the influence of CNT distribution on the mechanical behavior of cantilever beams is more significant than that of simply supported and clamped beams.

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“…In the case of the bending of piezoelectric-flexoelectric nanostructures with plate-like shapes, Ghobadi et al [33] evaluated the effect of nano size with the help of classical plate theory to study the static bending of a nanoplate exposed to thermal, electric, and magnetic fields, assuming piezoelectricity and flexoelectricity properties.…”

Section: Introductionmentioning

confidence: 99%

On the Dynamics of a Visco–Piezo–Flexoelectric Nanobeam

Malikan

Eremeyev

2020

Symmetry

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The fundamental motivation of this research is to investigate the effect of flexoelectricity on a piezoelectric nanobeam for the first time involving internal viscoelasticity. To date, the effect of flexoelectricity on the mechanical behavior of nanobeams has been investigated extensively under various physical and environmental conditions. However, this effect as an internal property of materials has not been studied when the nanobeams include an internal damping feature. To this end, a closed-circuit condition is considered taking converse piezo–flexoelectric behavior. The kinematic displacement of the classical beam using Lagrangian strains, also applying Hamilton’s principle, creates the needed frequency equation. The natural frequencies are measured in nanoscale by the available nonlocal strain gradient elasticity model. The linear Kelvin–Voigt viscoelastic model here defines the inner viscoelastic coupling. An analytical solution technique determines the values of the numerical frequencies. The best findings show that the viscoelastic coupling can directly affect the flexoelectricity property of the material.

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Size dependent thermo-electro-mechanical nonlinear bending analysis of flexoelectric nano-plate in the presence of magnetic field

Cited by 68 publications

References 56 publications

Multi-Trigger Thermo-Electro-Mechanical Soft Actuators under Large Deformations

Multi-Trigger Thermo-Electro-Mechanical Soft Actuators under Large Deformations

Bending, buckling and free vibration of nonlocal FG-carbon nanotube-reinforced composite nanobeams: exact solutions

On the Dynamics of a Visco–Piezo–Flexoelectric Nanobeam

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