Thermal and mechanical stresses in a functionally graded thick sphere

Eslami, M. R.; Babaei, Mohammad; Poultangari, Reza

doi:10.1016/j.ijpvp.2005.01.002

Cited by 156 publications

(97 citation statements)

References 15 publications

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“…Figures 1 and 2 show, respectively, the radial displacement and the stress due to mechanical load obtained from the present analysis. These results are identical to those reported in Eslami et al (2005), which indicates good agreement with previous publications. Figure 3 shows the temperature distribution under the thermal conditions of Eslami et al (2005), Table, as T (a, θ) = 50 cos θ 2 2 and zero temperature at the outer radius, and the mechanical boundary conditions were fixed at the inner radius and traction-free at the outer radius.…”

Section: Resultssupporting

confidence: 93%

“…These results are identical to those reported in Eslami et al (2005), which indicates good agreement with previous publications. Figure 3 shows the temperature distribution under the thermal conditions of Eslami et al (2005), Table, as T (a, θ) = 50 cos θ 2 2 and zero temperature at the outer radius, and the mechanical boundary conditions were fixed at the inner radius and traction-free at the outer radius. This figure is the same as As the first example, the effect of the magneto-mechanical response of an FG hollow sphere of inner radius (metal constituent) a = 0.4 m and outer radius (ceramic constituent) b = 0.5 m was considered.…”

Section: Resultssupporting

confidence: 93%

“…A simpler example of this work is presented in Eslami et al (2005), in which the FG sphere was subjected to only mechanical load.…”

Section: Resultsmentioning

confidence: 99%

See 2 more Smart Citations

Analytical Solution for Two-Dimensional Magneto-thermomechanical Response in FG Hollow Sphere

Jabbari

Mohazzab

2014

Encyclopedia of Thermal Stresses

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This paper presents the effect of the magnetic problem of a functionally graded (FG) hollow sphere subjected to mechanical and thermal loads. An analytical solution for stresses and perturbation of the magnetic field vector were determined using the direct method and the power series method. All of the material properties varied continuously across the thickness direction according to the power-law functions of radial directions. The aim of this work was to understand the effect of the magnetic field on a FG hollow sphere subjected to mechanical and thermal loads. The magnetic field decreased the radial displacement and circumferential stress due to mechanical load, and had a negligible effect on mechanical radial stress. The magnetic field also increased the radial displacement and the radial and circumferential stresses due to thermal load. Increasing the power-law indices of the functionally graded material (FGM) decreased all of the above quantities due to mechanical load.

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Section: Resultssupporting

confidence: 93%

Section: Resultssupporting

confidence: 93%

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Analytical Solution for Two-Dimensional Magneto-thermomechanical Response in FG Hollow Sphere

Jabbari

Mohazzab

2014

Encyclopedia of Thermal Stresses

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“…The stress distribution in a power-graded orthotropic cylindrical body was investigated analytically by Oral and Anlaş [14]. Eslami et al [15] offered a general solution for the one-dimensional steady-state thermal and mechanical stresses in a hollow thick sphere made of a simple-power graded material. By using the Laplace transformation and a series expansion of Bessel functions, Ootao and Tanigawa [16] analyzed one-dimensional transient thermoelastic problem with power-law graded material properties.…”

Section: Introductionmentioning

confidence: 99%

Exact Thermal Analysis of Functionally Graded Cylindrical and Spherical Vessels

Yıldırım¹

2017

International Journal of Engineering &Amp; Applied Sciences

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“…In addition, some papers were devoted to the hollow sphere problem for FGMs [Eslami et al 2005;You et al 2005;Chen and Lin 2008]. The solution technique is approximately same as in the case of a hollow cylinder.…”

Section: Introductionmentioning

confidence: 99%

Study of multiply-layered cylinders made of functionally graded materials using the transfer matrix method

Chen

2011

J. Mech. Mater. Struct.

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This paper provides a general solution for a multiply-layered cylinder made of functionally graded materials. The Young's modulus is assumed to be an arbitrary function of r , and the Poisson's ratio takes a constant value. The first step is to study the single-layer case (a < r < b). A transfer matrix is defined, relating the values of radial stress and displacement at the initial point (r = a) to those at the end point (r = b). The matrix is evaluated on the basis of two fundamental solutions, which are evaluated numerically. The final solution is obtained by using many transfer matrices for layers, continuation conditions between layers, and boundary conditions at inner and outer boundaries. Several numerical examples are provided.

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Thermal and mechanical stresses in a functionally graded thick sphere

Cited by 156 publications

References 15 publications

Analytical Solution for Two-Dimensional Magneto-thermomechanical Response in FG Hollow Sphere

Analytical Solution for Two-Dimensional Magneto-thermomechanical Response in FG Hollow Sphere

Exact Thermal Analysis of Functionally Graded Cylindrical and Spherical Vessels

Study of multiply-layered cylinders made of functionally graded materials using the transfer matrix method

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