On Deformations of a Spherically Isotropic Hollow Sphere of a Functionally Graded Material

Chen, W.Q.; Bian, Zuguang; Ding, Haojiang

doi:10.4028/www.scientific.net/msf.423-425.743

Cited by 4 publications

(2 citation statements)

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“…The Navier equations (4), (5), and (6) are non-homogeneous system of partial differential equations with non-constant coefficients.…”

Section: Discussionmentioning

confidence: 99%

“…The temperature and Navier equations were solved analytically, using the generalized Bessel function and complex form of Fourier integral. Chen et al [5] studied the spherically isotropic hollow FGM sphere. Cuven and Baykara [6] have solved the mechanical stresses of a functionally graded isotropic hollow sphere with spherical symmetry subjected to internal pressure.…”

Section: Introductionmentioning

confidence: 99%

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Analytical solution for three‐dimensional stresses in a short length FGM hollow cylinder

et al. 2007

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This paper presents the general theoretical analysis of three-dimensional mechanical and thermal stresses for a short hollow cylinder made of functionally graded material. The steady-state temperature, displacements, and stresses distributions are derived due to the general mechanical and thermal boundary conditions, as functions of radial, circumferential and longitudinal directions. The material properties vary continuously along the thickness direction according to power functions of radial direction. The temperature and Navier equations are solved analytically, using the generalized Bessel function and Fourier series. A direct method of solution of Navier equations is presented.

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“…The Navier equations (4), (5), and (6) are non-homogeneous system of partial differential equations with non-constant coefficients.…”

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analytical solution for three‐dimensional stresses in a short length FGM hollow cylinder

et al. 2007

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On the free vibration and bending analysis of functionally graded nanocomposite spherical shells reinforced with graphene nanoplatelets: Three-dimensional elasticity solutions

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Zhu

2021

Engineering Structures

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Three-dimensional free vibration analysis of inhomogeneous thick orthotropic shells of revolution using differential quadrature

Redekop¹

2006

Journal of Sound and Vibration

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On Deformations of a Spherically Isotropic Hollow Sphere of a Functionally Graded Material

Cited by 4 publications

References 0 publications

Analytical solution for three‐dimensional stresses in a short length FGM hollow cylinder

Analytical solution for three‐dimensional stresses in a short length FGM hollow cylinder

On the free vibration and bending analysis of functionally graded nanocomposite spherical shells reinforced with graphene nanoplatelets: Three-dimensional elasticity solutions

Three-dimensional free vibration analysis of inhomogeneous thick orthotropic shells of revolution using differential quadrature

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