Investigation on a rotating FGPM circular disk under a coupled hygrothermal field

Dai, H. L.; Zheng, Zhen-Qiu; Dai, Ting

doi:10.1016/j.apm.2017.01.062

Cited by 21 publications

(7 citation statements)

References 35 publications

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“…In this section, some numerical results are obtained and represented in Figs. 4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22 and 23 in order to illustrate the current solution of the FGP micro-rotating cylinder problem, where the effects of flexoelectricity, non-homogeneity constant, magnetic field, angular velocity and characteristic length parameter on the radial and circumferential stresses, radial displacement and electric potential distributions along the cylinder thickness are graphically shown. The mechanical and electric properties of lead zirconate titanate (PZT-4) for the FGP micro-rotating cylinder are listed in Table 1 [ are adopted based on [55,85,86].…”

Section: Fgp Micro-rotating Cylinder Problemmentioning

confidence: 99%

“…Keles and Tutuncu [19] carried out free and forced vibration analysis of FG hollow cylinders and spheres using analytical solutions in which the material properties were assumed to vary based on the power-law function. The distributions of the temperature, moisture, displacement and stress of a FGP circular rotating disk under a coupled hygro-thermal field were presented by Dai et al [20]. Galic and Horgan [21] presented an analytical solution to the axisymmetric problem of piezoelectric hollow cylinder subjected to uniform internal pressure and a constant potential difference between its inner and outer surfaces.…”

Section: Introductionmentioning

confidence: 99%

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Size-dependent analysis of a functionally graded piezoelectric micro-cylinder based on the strain gradient theory with the consideration of flexoelectric effect: plane strain problem

Dini

Shariati

Zarghami

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

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In this study, a size-dependent analysis of functionally graded piezoelectric (FGP) micro-rotating cylinder is presented based on the plane strain condition and strain gradient theory, which is a non-classical theory capable of capturing the size effect in microscaled structures. The present model is used to analyze the FGP micro-rotating cylinder with the consideration of flexoelectric effects exposed to a symmetric magneto-electro-mechanical loading. All mechanical and electrical properties are assumed to be graded in the thickness direction according to a power-law distribution. With respect to the fifth-order strain gradient coefficient and electromechanical coupling, the constitutive equations are obtained from electric Gibbs free energy density, which is a function of strain, second-order deformation gradient and electric field. By substituting the constitutive equations in electric and mechanical equilibrium equations, two coupled electromechanical governing differential equations in terms of radial displacement and electric potential are derived considering centrifugal force and Lorentz magnetic force obtained from Maxwell's relations. The generalized differential quadrature method is proposed to solve the coupled governing differential equations. Numerical results attained from the strain gradient elasticity reveal the effects of flexoelectric, microstructural length scale, non-homogeneity constant, rotation and magnetic field on the response of the FGP micro-rotating cylinder.

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Section: Fgp Micro-rotating Cylinder Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Size-dependent analysis of a functionally graded piezoelectric micro-cylinder based on the strain gradient theory with the consideration of flexoelectric effect: plane strain problem

Dini

Shariati

Zarghami

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

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“…Meanwhile, most of researches for the circular disks have been carried out without considering contact force during the cutting process, even though contact force is a crucial parameter in determination of the thermo-elastic characteristics [7][8]. Rad [9] investigated static behavior of the auxetic-porous structures composed of multi directional heterogeneous materials with considering friction force.…”

Section: Jaegwi Gomentioning

confidence: 99%

Thermo-elastic characteristics of homogeneous circular disk models subjecting to a contact force

Go¹

2019

ces

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The thermo-elastic characteristics of a rotating Al homogeneous circular disk have been investigated by considering a contact force on a work piece area. A pair of partial differential equation is induced as a governing equations based on Hooke's law. Due to the complexity of the governing equations a finite volume model is applied to the problem to obtain approximate solutions. Contact force may not be ignorable parameter to determine thermoelastic movements in rotating circular disk. Moreover, the numerical approximations yields that radial thickness is a crucial factor to control the thermo-elastic behavior of rotating circular disks.

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“…32 Dai et al. 33 disclosed the elastic behavior of a rotating FGPM annular plate under hygrothermal loads. The free vibration response of circular and annular MEE plates was investigated by Vinyas et al.…”

Section: Introductionmentioning

confidence: 99%

“…Loghman et al 31 studied FGPM rotating disc and considered creep behavior. A solution for the stresses and displacements of a FGMEE disk under tension and bending was presented by Wang et al 32 Dai et al 33 disclosed the elastic behavior of a rotating FGPM annular plate under hygrothermal loads. The free vibration response of circular and annular MEE plates was investigated by Vinyas et al 34 Saadatfar 35 investigated the hygrothermal stress redistribution in an MEE rotating disk using an analytical method.…”

Section: Introductionmentioning

confidence: 99%

Effects of porosity, profile of thickness, and angular acceleration on the magneto-electro-elastic behavior of a porous FGMEE rotating disc placed in a constant magnetic field

Saadatfar

Zarandi

Babaelahi

2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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Effects of porosity, profile of thickness and angular deceleration on the stress and deformation of a fluid-saturated functionally graded porous magneto-electro-elastic rotating disc are investigated in this article. Since the angular velocity is taken to be variable, the disc is subjected to Lorentz force in two directions: radial and circumferential. It is assumed that material properties of the disc obey power-law function of radius. The disc is uniformly porous and its thickness varies as a function of radius. First, three coupled governing partial differential equations in terms of the displacement and electric potential are converted to ordinary differential equations employing the separation of variable method. Then, obtained equations are solved using the Runge–Kutta and shooting methods for the case of fixed–free boundary condition. The effect of variable angular velocity, thickness profile, inhomogeneity index, porosity, and magnetic field is studied and illustrated graphically. The results demonstrate that considering angular acceleration for the disc has a considerable effect on the Lorentz force resulted from the magnetic field. Besides, the angular velocity constant has a significant effect on the stresses and displacements in the presence of the magnetic field.

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Investigation on a rotating FGPM circular disk under a coupled hygrothermal field

Cited by 21 publications

References 35 publications

Size-dependent analysis of a functionally graded piezoelectric micro-cylinder based on the strain gradient theory with the consideration of flexoelectric effect: plane strain problem

Size-dependent analysis of a functionally graded piezoelectric micro-cylinder based on the strain gradient theory with the consideration of flexoelectric effect: plane strain problem

Thermo-elastic characteristics of homogeneous circular disk models subjecting to a contact force

Effects of porosity, profile of thickness, and angular acceleration on the magneto-electro-elastic behavior of a porous FGMEE rotating disc placed in a constant magnetic field

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