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Vol.23, No.3, 2023, pp. 325–334 |
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THERMOMECHANICAL RESPONSE OF A FUNCTIONALLY GRADED PRESSURIZED CYLINDER USING ITERATIVE TECHNIQUE Sandeep Kumar Paul1, Parth Dinesh Mehta2, Manoj Sahni3* 1) Department of Mathematics, School of Chemical Engineering and Physical Sciences, Lovely Professional University, Phagwara, Punjab, INDIA 2) Symbiosis Institute of Business Management, Symbiosis International (Deemed University), Bengaluru, Karnataka, INDIA 3) Department of Mathematics, School of Technology, Pandit Deendayal Energy University, Gandhinagar, Gujarat, INDIA *email: manojsahani117@gmail.com
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Abstract In our research investigation for the performance of functionally graded (FGM) pressurized cylinder, we implement a novel iterative technique to examine the behaviour of thick hollow FG cylinder subjected to thermomechanical loading. Material properties, namely, Young’s modulus and the coefficient of thermal expansion are varied exponentially from inner to outer surface of pressure vessel along radial direction, whereas Poisson’s ratio and temperature are invariant. Iterative solutions for displacement and stresses are derived by solving the governing differential equation of isotropic functionally graded cylinder under plane strain and steady-state conditions. The novelty of the work is that an iterative technique is applied to Navier’s equation under plane strain conditions, and it gives a good approximation to the solution of stresses and displacement field after two iterations. It may also be applicable to find the solutions for higher order nonlinear differential equations. The iterative method implemented is near to exact and fast with a reasonable number of iterations. Results obtained for radial stress, tangential stress, and displacement are presented graphically under different inner-outer pressure conditions and uniform temperature loading. Solutions depicted through graphs are used to present the comparison of stresses and displacement in FGM cylinder made up different metal-ceramic combinations, namely, aluminium (Al) - aluminium oxide (Al2O3), copper alloy (CA) - aluminium nitride (AlN), nickel (Ni) - silicon nitride (Si3N4), and pressurized cylinder made up of homogeneous material and plates, but few have attempted the two-dimensional solution. In this paper, we have developed solutions for two-dimensional pressurized cylinder made of functionally graded material with nonlinear variation of Young’s modulus in the radial direction and its numerical analysis. Keywords: functionally graded materials, pressure, stresses, displacement, Young’s modulus, iterative method |
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