Comprehensive elastic analysis of functionally graded variable thickness pressurized disk

This study analytically examines internally pressurized power-law functionally graded variable thickness disk. The consideration is applied to the Young's modulus and Poisson's ratio of material as well radial profile variation Under this scheme, solution yields different Bessel functions including first, second, modified types. Stress displacement fields are investigated at elastic limits by operating with these functions. calculated well-known von Mises criteria. Following analytical modeling, numerical examples built. Therein examples, some noteworthy nuances have been achieved. It has observed that unlike usual prediction in literature, constant ratio, effect on stresses displacements still evident, although not much disk geometry. We suggest assigning it a similar applications be more precise. Additionally, according criterion, yielding may begin inner radius, outer or both same time. Parameters simultaneous flow initiation state critical. These parameters allow reach highest limit pressure.