Thermoelastic Analysis of Pressurized Hollow Spherical Vessels with Arbitrary Radial Non-Homogeneity

In this study, a general analysis of one dimensional steady-state thermal stresses of a functionally graded hollow spherical vessel with spherical isotropy and spherically transversely isotropy is presented with material properties of arbitrary radial non-homogeneity. The material properties may arbitrarily vary as continuous or piecewise functions. The boundary value problem associated with a thermo-elastic problem is converted to an integral equation. Radial and tangential thermal stress components distribution can be determined numerically by solving the resulting equation. The influence of the gradient variation of the material properties on the thermal stresses is investigated and the numerical results are presented graphically.

REFERENCES (12)

Atkinson K.E. and Shampine L.F. (2008): Algorithm 876: Solving Fredholm integral equations of the second kind in MATLAB.– ACM Transactions on Mathematical Software, vol.34, No.4, Article No.21, pp.1-20. Doi: https://doi.org/10.1145/137759....

CrossRef

Google Scholar

Eslami M.R., Babaei M.H. and Poultangari R. (2005): Thermal and mechanical stresses in a functionally graded thick sphere.– Int. J. Pres. Ves. Pip., vol.82, pp.522-527.

Google Scholar

Guven U. and Baykara C. (2001): On stress distribution in functionally graded isotropic spheres subjected to internal pressure.– Mech. Res. Commun., vol.28, pp.277-281.

Google Scholar

Li X.F., Peng X.L. and Kang Y.A. (2009): Pressurized hollow spherical vessels with arbitrary radial non-homogeneity.– AIAA Journal, vol.47, pp.2262-2265.

Google Scholar

Nayak P., Mondal S.C. and Nandi A. (2011): Stress, strain and displacement of a functionally graded thick spherical vessel.– Int. J. Eng. Sci. Techol., vol.3, pp.2659-2671.

Google Scholar

Nejad M.Z., Abedi M., Lotfian M.H. and Ghannad M. (2016): Exact and numerical elastic analysis for the FGM thick-walled cylindrical pressure vessels with exponentially-varying properties.– Arch. Metall. Mater., vol.61, pp.1649-1654.

Google Scholar

Peng X.L. and Li X.F. (2010): Thermoelastic analysis of a cylindrical vessel of functionally graded materials.– Int. J. Pres. Ves. Pip., vol.87, pp.203-210.

Google Scholar

Rani P., Singh K. and Muwal R. (2021): Thermal stresses due to non-uniform internal heat generation in functionally graded hollow cylinder.– Int. J. Appl. Mech. Eng., vol.6, pp.186-200.

Google Scholar

Sahu R.K., Sodhi L., Bhowmick S. and Thawait A.K. (2020): Exact solution for the thermo-elastic deformation and stress states of FG rotating spherical body.– J. Mech. Behav. Mater., vol.29, pp.133-146.

Google Scholar

10.

Sharma D. and Kaur R. (2020): Thermoelastic analysis of FGM hollow cylinder for variable parameters and temperature distributions using FEM.– Nonlinear Eng., vol.9, pp.256-264.

Google Scholar

11.

Yildirim V. (2018): Exact thermo-mechanical analysis of functionally graded thick-walled spheres.– Mech. Mech. Eng., vol.22, pp.1197-1221.

Google Scholar

12.

You L.H., Zhang J.J. and You X.Y. (2005): Exact analysis of internally pressurized thick-walled spherical pressure vessels of functionally graded materials.– Int. J. Pres. Ves. Pip., vol.82, pp.347-354.

Google Scholar

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