Stress and deformation analysis of functionally graded varying thickness profile orthotropic rotating disk

Sondhi, Lakshman; Thawait, Amit Kumar; Sanyal, Shubhashis; Bhowmick, Shubhankar

doi:10.1016/j.matpr.2020.03.258

Cited by 4 publications

(2 citation statements)

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“…TA B L E 1 Analytical solution methods to be followed based on parameters k 1 , k 2 and k 3 . Solving Equation (37) for the internal pressure case boundary conditions, one acquires…”

Section: Analytical Solutionmentioning

confidence: 99%

“…Functionally graded rotating annular hollow disks at the elastic region have been a topic of some investigations [32,33]. When the disk thickness variation is considered, there exists plenty of examinations [34][35][36][37][38][39]. Moreover, there are some extended stress studies for variable profile rotating graded disks at elastic-plastic state under thermo-mechanical loads [40,41].…”

Section: Introductionmentioning

confidence: 99%

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Comprehensive elastic analysis of functionally graded variable thickness pressurized disk

2023

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

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“…TA B L E 1 Analytical solution methods to be followed based on parameters k 1 , k 2 and k 3 . Solving Equation (37) for the internal pressure case boundary conditions, one acquires…”

Section: Analytical Solutionmentioning

confidence: 99%