Vol.21, Special Issue, 2021, pp. S75–S81
UDC:

TWO-DIMENSIONAL STRESS ANALYSIS OF A THICK HOLLOW CYLINDER MADE OF FUNCTIONALLY GRADED MATERIAL SUBJECTED TO NON-AXISYMMETRIC LOADING

S. Kumar Paul, M. Sahni

Department of Mathematics, PDPU, Gandhinagar, INDIA

email: sandeeppaulkumar@gmail.com , manojsahani117@gmail.com

 

Abstract

In this study, a thick hollow functionally graded cylinder is considered for the analysis of two-dimensional steady state mechanical stress in radial and circumferential directions under non-axisymmetric loading. Young’s modulus is differing with continuous nonlinear variation in the thickness direction, and Poisson’s ratio is invariant. Fourier half range series and Euler differential equations are considered as methods of analysis. Mechanical boundary conditions are implemented at internal and external surfaces of the cylinder and the graphs are plotted for derived results. This study may be useful in the application of pressure vessels.

Keywords: functionally graded material, cylinder, Young’s modulus, pressure, stresses

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