Electro-magneto-thermo-elastic response of infinite functionally graded cylinders without energy dissipation

Zenkour, Ashraf M.; Abbas, Ibrahim A.

doi:10.1016/j.jmmm.2015.07.038

Cited by 23 publications

(7 citation statements)

References 27 publications

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“…The finite element method has been used by Zenkour and Abbas [18] to discuss the generalized thermoelastic problem of temperature-dependent hollow cylinders. Also, Zenkour and Abbas [19] discussed the electro-magneto-thermoelastic behavior of an infinite FG hollow cylinder based on the G-N model without energy dissipation. Li et al [20] used the wave-FEM to discuss the thermoelastic waves without energy dissipation in hollow cylinders.…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic interactions in a hollow cylinder due to a continuous heat source without energy dissipation

Zenkour

Kutbi

2020

Mater. Res. Express

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The linear generalized Green-Naghdi thermoelasticity theory without energy dissipation is employed. The study of thermoelastic interactions in a hollow cylinder under a continuous heat source is carried out. Firstly, Laplace and Hankel transforms are employed to solve the problem without the time domain. Then, the state space approach is employed to get the exact solution of the problem in the space domain. Once again, the inverse Laplace transforms is used to get the solutions in the time domain. Accurate terminologies for the temperature, thermoelastic potential, axial displacement, dilatation, and stresses are derived. Numerical outcomes for field variables are presented with the view of illustrating the theoretical results.

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Section: Introductionmentioning

confidence: 99%

Thermoelastic interactions in a hollow cylinder due to a continuous heat source without energy dissipation

Zenkour

Kutbi

2020

Mater. Res. Express

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“…27 accounted the porosity effect for local density using modified power law to investigate structural behavior of skew FG-MEE rectangular plate. The METE analysis problem of an FG cylinder was studied by Zenkour and Abbas 28 and the results were investigated along the radial direction of the infinite cylinder. Kattimani and Ray 29 also investigated the control of nonlinear vibrations of FG-MEE rectangular plates and the influence of the variation of the power law index, material gradation, edge boundary conditions, and the piezoelectric fiber orientation angle considered on the results.…”

Section: Introductionmentioning

confidence: 99%

Asymmetric free vibration analysis of first-order shear deformable functionally graded magneto-electro-thermo-elastic circular plates

Arshid

Kiani

Amir

et al. 2019

Proceedings of the Institution of Mechanical Engineers, Part C:

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The current study aims to analyze the asymmetric free vibration behavior of shear deformable functionally graded magneto-electro-thermo-elastic circular plates. The plate’s displacements are described by employing the first-order shear deformation theory and based on the von Karman assumptions, the strains and displacements are related together. Using Hamilton’s principle and variational formulation, the governing motion equations and also the associated boundary conditions have been derived. The generalized differential quadrature method is applied to discretize and solve them. The effects of the most important parameters such as material gradient index, electromagnetic loads, boundary conditions, and also aspect ratio of the plate on the natural frequencies and mode shapes of the plate are considered and discussed in details. The results show that the effect of electric potential on the natural frequency is the opposite of the magnetic one. In other words as the magnetic potential increases, the rigidity of the plate increases too and the frequency enhances. The results are compared and verified with the simpler states in literature. The findings of this study are useful for designing more efficient sensors and actuators used in smart or intelligent structures.

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“…Saadatfar and Aghaie-Khafri (2015) determined the static behavior of a rotating cylindrical shell with surface bounded sensor and actuator in an axisymmetric hygrothermal condition. Zenkour and Ibrahim (2015) determined temperature, radial displacement, mechanical and electromagnetic stresses along the radial direction of an infinite FG hollow cylinder in the context of Green–Naghdi’s generalized thermoelasticity theory. Ebrahimi and Barati (2016) investigated combined effect of moisture and temperature on free vibration characteristics of FG nanobeams resting on elastic foundation.…”

Section: Introductionmentioning

confidence: 99%

Hygrothermoelastic response of a finite solid circular cylinder

Lamba¹,

Deshmukh

2019

MMMS

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Purpose In this paper, a solid circular cylinder of finite length occupying the space 0⩽r⩽1, 0⩽z⩽h is considered. The purpose of this paper is to adopt a linear hygrothermal effect to analyze the unsteady state responses in a finite long solid cylinder subjected to axisymmetric hygrothermal loading T=TR and C=CR at the surface. The analytical solution of temperature, moisture and thermal stresses is obtained by using the integral transform technique. The coupling and uncoupling effects of temperature, moisture and thermal stresses are discussed for a graphite fiber-reinforced epoxy matrix composite material (T300/5208). The numerical results of transient response hygrothermoelastic field are presented graphically. Design/methodology/approach In the present problem, hygrothermoelastic response of a finite solid circular cylinder has been investigated by integral transform technique consisting of Laplace transform, Hankel transform and Fourier-cosine transform. The problem is investigated subjected to prescribed sources. Numerical algorithm has been developed for numerical computation. Findings The analytical solution of temperature, moisture and thermal stresses is obtained by using the integral transform technique. The coupling and uncoupling effects of temperature, moisture and thermal stresses are discussed for a graphite fiber-reinforced epoxy matrix composite material (T300/5208). The numerical results of transient response hygrothermoelastic field are presented graphically. Research limitations/implications The work presented here is mostly hypothetical in nature and totally mathematical. Practical implications It may be useful for composite materials, composite laminated plates in hygrothermal environment. Also it is having the applications in hygrothermal field where porous media exposed to heat and moisture. The problem investigated will be beneficial for the researcher working in the field thermoelastic diffusion and hygrothermoelastic materials. Originality/value Till date, the other authors did the research work on hygrothermal effect of an infinitely long cylinder without thickness. In this paper, the authors consider finite solid cylinder with finite length and discuss the hygrothermal effect within a small range. Second, the material properties are both homogenous and isotropic and are independent of both temperature and moisture.

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Electro-magneto-thermo-elastic response of infinite functionally graded cylinders without energy dissipation

Cited by 23 publications

References 27 publications

Thermoelastic interactions in a hollow cylinder due to a continuous heat source without energy dissipation

Thermoelastic interactions in a hollow cylinder due to a continuous heat source without energy dissipation

Asymmetric free vibration analysis of first-order shear deformable functionally graded magneto-electro-thermo-elastic circular plates

Hygrothermoelastic response of a finite solid circular cylinder

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