Limit Elastic Yield Pressure of Internally and Externally Pressurized Functionally Graded Thick Cylinder

Abstract

Abstract The present work employs variation principle to investigate the limit elastic yield pressure of internally and externally pressurized thick cylinder made of functionally graded material is carried out for different gradient index. The gradient index varies from 2 to -2 and different aspect ratio of cylinder in the range of 0.2 to 0.8 are considered as 0.5.In the present study, the mechanical property of FG is assumed to be exponential functions. Deformation and stress distributions along the radial direction, the variation of limit elastic yield pressure (the pressure at which yielding initiates) with functionally grading parameters and geometry parameters of the FG cylinder are also studied. An approximate solution is obtained and the results are reported in normalized form for different values of gradient index and 3D plots where in the variation of limit pressure is plotted graphically and the limit pressure can be predicted for a FG with given grading and geometry parameter of FG cylinder . The computed results are compared to those published in the literature show good agreement and superiority.