Effect of Inhomogeneity Constant on Equivalent Stresses in Elastic Analysis of Hollow Cylinder Made from Functionally Graded Material

Abstract

In this study, the determination of the equivalent stresses required for the elastic analysis of a hollow cylinder made of functional graded material (FGM) subjected to internal and external pressures was determined quickly and accurately, and its evaluation was discussed. The Poisson’s ratio is thought to be constant. The functional grading for the modulus of elasticity varies radially along the thickness of the cylinder and depending on a simple power law function. Radial, tangential (hoop) and equivalent stresses with radial displacements in the cylinder are determined rapidly by modeling both analytically and by the finite element method (FEM) numerically. Outcomes of both methods were compared and found to be in harmony. At the same time, differently from previous studies in my paper, the influence of the inhomogeneity constant of the material on equivalent stresses was investigated and the results are presented in graphical form.

Keywords

• Equivalent stress,functional graded material,hollow cylinder,inhomogeneity constant

References

1. Timoshenko, S.P., and Goodier, J.N., Theory of Elasticity, 3rd Ed., McGraw-Hill, New York, USA (1970).
2. Tütüncü, N., and Temel, B., “A Novel approach to stress analysis of pressurized FGM cylinders, disks and spheres”, Composite Structures, 91:385-390, (2009).
3. Boğa, C., “Elastic analysis of a hollow cylinder made from functionally graded material exposed to internal pressure”, ISVOS Journal, 2(1):56 – 66, (2018).
4. Li, X.F., and Peng, X.L., “A pressurized functionally graded hollow cylinder with arbitrarily varying material properties”, Journal of Elasticity, 96:81–95, (2009).
5. Boğa, C., “Analytical and numerical axisymmetric elastic stress analyses of stationary/rotating discs made of isotropic/orthotropic functionally graded materials by the transfer matrix method”, PhD. Thesis, Adana, Turkey, p177 (2016).
6. Chen, Y.Z., and Lin, X.Y., “Elastic analysis for thick cylinders and spherical pressure vessels made of functionally graded materials”, Computational Materials Science, 44:581-587, (2008).
7. Kurşun, A., Kara, E., Çetin, E., Aksoy, Ş., and Kesimli, A., “Mechanical and thermal stresses in functionally graded cylinders”, International Journal of Mechanical, Aerospace, Industrial, Mechatronic and Manufacturing Engineering, 8(2):303-308, (2014).
8. Hassan, A., and Keleş, İ., “FGM modelling using dummy thermal loads, applied with ANSYS APDL”, Journal of Selcuk International Science and Technology, 1(1):10-18, (2017).

9. Nejad, M.Z., Abedi, M., Lotfian, M.H., and Ghannad, M., “An exact solution for stresses and displacements of pressurized FGM thick-walled spherical shells with exponential-varying properties”, Journal of Mechanical Science and Technology, 26(12):4081-4087, (2012).
10. Nejad, M.Z., Abedi, M., Lotfian, M.H., and Ghannad, M., “Exact and numerical elastic analysis for the FGM thick-walled cylindrical pressure vessels with exponentially-varying properties”, Archives of Metallurgy and Materials, 61(3):1649–1654, (2016).
11. Rahimi, G.H., and Nejad, M.Z., “Exact solutions for thermal stresses in a rotating thick-walled cylinder of functionally graded materials”, Journal of Applied Sciences, 8(18):3267-3272, (2008).
12. Jabbari, M., Bahtui, A., and Eslami, M.R., “Axisymmetric mechanical and thermal stresses in thick short length FGM cylinders”, International Journal of Pressure Vessels and Piping, 86:296–306, (2009).
13. Nie, G. J., Zhong, Z., and Batra, R.C., “Material tailoring for functionally graded hollow cylinders and spheres”, Composites Science and Technology, 71:666–673, (2011).
14. Ghannad, M., and Gharooni, H., “Elastic analysis of pressurized thick FGM cylinders with exponential variation of material properties using TSDT”, Latin American Journal of Solids and Structures, 12:1024-1041, (2015).
15. Afshar, R., Bayat, M., Lalwani, R.K., and Yau, Y.H., “Elastic behavior of glass-like functionally graded infinite hollow cylinder under hydrostatic loads using finite element method”, Materials and Design, 32:781–787, (2011).
16. Najibi, A., and Shojaeefard, M.H., “Elastic mechanical stress analysis in a 2D-FGM thick finite length hollow cylinder with newly developed material model”, Acta Mechanica Solida Sinica, 29(2):178-191, (2016).