A numerical solution of magneto-thermoelastic problem in non-homogeneous isotropic cylinder by the finite-difference method

Abdelsalam, Manal; Abd-Alla, A. M.; Hosham, Hany A.

doi:10.1016/j.apm.2006.05.009

Cited by 27 publications

(18 citation statements)

References 16 publications

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“…the radial stress, shear stress and radial displacement as imposed in Eq. (11) are observed in Fig. 6a, d and e, respectively.…”

Section: Numerical Results and Discussionsupporting

confidence: 56%

“…Abd-El-Salam et al [11] obtained results for the temperature, displacement and stress fields of a non-homogeneous isotropic cylinder under the effect of a magnetic field, using the finite difference method. Tianhu et al [12] studied the generalized electromagneto-thermo-elastic problem of an infinitely long perfectly conducting solid cylinder subjected to a thermal shock using the theory of Lord and Shulman with one relaxation time.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Three-dimensional dynamo-thermo-elastic analysis of a functionally graded cylindrical shell with piezoelectric layers by DQ-FD coupled

Alashti

Khorsand

2012

International Journal of Pressure Vessels and Piping

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“…the radial stress, shear stress and radial displacement as imposed in Eq. (11) are observed in Fig. 6a, d and e, respectively.…”

Section: Numerical Results and Discussionsupporting

confidence: 56%

Section: Introductionmentioning

confidence: 99%

Three-dimensional dynamo-thermo-elastic analysis of a functionally graded cylindrical shell with piezoelectric layers by DQ-FD coupled

Alashti

Khorsand

2012

International Journal of Pressure Vessels and Piping

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“…(13) requires us to determine the temperature distribution along the radial direction. The axisymmetric, steady state heat conduction equation for an infinitely long hollow cylinder can be written as:…”

Section: Solution For the Thermomagnetoelastic Fgm Cylindermentioning

confidence: 99%

“…In addition, they investigated the effects of constant speed rotation about the axis on the responses. A magneto-thermoelastic problem of a non-homogenous isotropic cylinder was studied Downloaded by [RMIT University] at 11:17 18 September 2013 by Abd-El-Salam et al [13]. Using the numerical finite difference method, they solved the coupled thermoelastic problem without energy dissipation in a constant primary magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Thermo-Magneto-Electro-Elastic Responses of Rotating Hollow Cylinders

Akbarzadeh

Chen

2013

Mechanics of Advanced Materials and Structures

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Analytical solutions are obtained for multiphysical responses of a functionally graded, thermomagnetoelastic, rotating hollow cylinder as well as a homogeneous orthotropic thermo-magnetoelectroelastic cylinder. The cylinders are subjected to a combination of thermomagneto-electro-mechanical loading. The material properties of the functionally graded hollow cylinder are assumed to obey a power law along the radial direction. The coupled differential equations are solved in an exact form using the successive decoupling method. Numerical results are displayed to clarify the effects of the temperature gradient, angular velocity, magneto-electro-mechanical boundary conditions, and non-homogeneity. Finally, the results are verified with those reported in the literature.

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“…Hou et al [10] studied the transient responses of a special non-homogeneous magneto-electro-elastic hollow cylinder for axisymmetric plane strain problem. The magnetother-moelastic problem in non-homogeneous isotropic cylinder in a primary magnetic field is discussed by Abd-El-Salam et al [11]. The dynamic and quasi-static behaviors of magneto -thermo -elastic stresses in a conducting hollow circular cylinder subjected to an arbitrary variation of magnetic field are investigated by Higuchi et al [12].…”

Section: Introductionmentioning

confidence: 99%

Numerical Solution for a FG Cylinder Problem Using Finite-Difference Method

Mashat¹

2011

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A refined finite-difference approach is presented to solve the thermoelastic problem of functionally graded cylinders. Material properties of the present cylinder are assumed to be graded in the radial direction according to a power-law distribution in terms of the volume fractions of the metal and ceramic constituents. The governing second-order differential equations are derived from the motion and the heat-conduction equations. Numerical results for dimensionless temperature, radial displacement, mechanical stresses and electromagnetic stress are distributed along the radial directions. The effects of time parameter and the functionally graded coefficient are investigated.

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A numerical solution of magneto-thermoelastic problem in non-homogeneous isotropic cylinder by the finite-difference method

Cited by 27 publications

References 16 publications

Three-dimensional dynamo-thermo-elastic analysis of a functionally graded cylindrical shell with piezoelectric layers by DQ-FD coupled

Three-dimensional dynamo-thermo-elastic analysis of a functionally graded cylindrical shell with piezoelectric layers by DQ-FD coupled

Thermo-Magneto-Electro-Elastic Responses of Rotating Hollow Cylinders

Numerical Solution for a FG Cylinder Problem Using Finite-Difference Method

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