Cem BOĞA

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

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.

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[1] Timoshenko, S.P., Goodier, J.N., Theory of Elasticity, 3rd Ed., McGraw-Hill, New York, USA (1970).
[2] Tütüncü, N., Temel, B., “A Novel approach to stress analysis of pressurized FGM cylinders, disks and spheres”, Composite Structures, 91:385-390, (2009). 0.00E+00 5.00E+08 1.00E+09 1.50E+09 2.00E+09 2.50E+09 3.00E+09 3.50E+09 404142434445464748495051525354555657585960 σeq (Pa) r (mm) β1 β2 β3 β4 β5
[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., 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., 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., 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., 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., Ghannad, M., “An exact solution for stresses and displacements of pre
ssurized 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., 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., 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., 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., Batra, R.C., “Material tailoring for functionally graded hollow cylinders and spheres”, Composites Science and Technology, 71:666–673, (2011).
[14] Ghannad, M., 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., 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., 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).
[17] Ansari, M.I., Kumar, A., “Bending analysis of functionally graded CNT reinforced doubly curved singly ruled truncated rhombic cone”, Mechanics Based Design of Structures and Machines, 47(1):67-86, (2019).
[18] Anish, Kumar, A., Chakrabarti, A., “Failure mode analysis of laminated composite sandwich plate”, Engineering Failure Analysis, 104:950–976, (2019).
[19] Ansari, M.I., Kumar, A., “Flexural analysis of functionally graded CNT-Reinforced doubly curved singly ruled composite truncated cone”, Journal of Aerospace Engineering, 32(2), (2019).
[20] Ansari M.I., Kumar, A., Chakrabarti, “Static analysis of doubly curved singly ruled truncated FGM cone”, Composite Structures, 184:523-535, (2018).
[21] Demirbas M.D., Apalak M.K., “Investigation of the thermo-elastic response of adhesively bonded two-dimensional functionally graded circular plates based on theory of elasticity”, Iranian Journal of Science and Technology, Transactions of Mechanical Engineering, 42(4):415-433, (2018).
[22] Demirbaş M.D., Apalak M.K., “Thermal stress analysis with finite difference method of functionally graded circular plates”, International Journal of Mechanical And Production Engineering, 5(10):78- 84, (2017).
[23] Apalak M.K., Demirbaş M.D., “Thermal residual stresses in adhesively bonded in-plane functionally graded clamped circular hollow plates”, Journal of Adhesion Science and Technology, 27(14):1590- 1623, (2013).