Elastic analysis of heterogeneous thick-walled spherical pressure vessels with parabolic varying properties

doi:10.1007/s11465-012-0336-1

Front Mech Eng

2012, Vol. 7

Issue (4) : 433-438 https://doi.org/10.1007/s11465-012-0336-1

RESEARCH ARTICLE

Elastic analysis of heterogeneous thick-walled spherical pressure vessels with parabolic varying properties

Keyhan KARAMI, Majid ABEDI, Mohammad ZAMANI NEJAD(

), Mohammad Hassan LOTFIAN

Mechanical Engineering Department, Yasouj University, Yasouj 75914-353, Iran

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Abstract

On the basis of plane elasticity theory (PET), the displacement and stress components in a thick-walled spherical pressure vessels made of heterogeneous materials subjected to internal and external pressure is developed. The mechanical properties except the Poisson’s ratio are assumed to obey the parabolic variations throughout the thickness. Effect of material inhomogeneity on the elastic deformations and stresses is investigated. The analytical solutions and the solutions carried out through the FEM have a good agreement. The values used in this study are arbitrary chosen to demonstrate the effect of inhomogeneity on displacements, and stresses distributions.

Keywords thick-walled spherical vessels heterogeneous materials FGM FEM parabolic varying properties

Corresponding Author(s): ZAMANI NEJAD Mohammad,Email:m.zamani.n@gmail.com

Issue Date: 05 December 2012

Cite this article:

Keyhan KARAMI,Majid ABEDI,Mohammad ZAMANI NEJAD, et al. Elastic analysis of heterogeneous thick-walled spherical pressure vessels with parabolic varying properties[J]. Front Mech Eng, 2012, 7(4): 433-438.

URL:

https://academic.hep.com.cn/fme/EN/10.1007/s11465-012-0336-1
https://academic.hep.com.cn/fme/EN/Y2012/V7/I4/433

Fig.1 Configuration of a FGM hollow sphere

Fig.2 Radial distribution of Modulus of elasticity

Fig.3 Radial distribution of radial displacement ()

Fig.4 Radial distribution of radial stress ()

Fig.5 Radial distribution of circumferential stress ()

Fig.6 Comparison of radial displacement in a FGM thick hollow sphere () to those in homogeneous thick hollow sphere ()

Fig.7 Comparison of stresses in a FGM thick hollow sphere () to those in homogeneous thick hollow sphere ()

Fig.8 Finite elements mesh region ( and )

Fig.9 Radial displacement obtained from ANSYS code in a FGM sphere ( and )

Fig.10 Radial stress obtained from ANSYS code in a FGM sphere ( and )

Fig.11 Circumferential stress obtained from ANSYS code in a FGM sphere ( and )

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