Fracture analysis in an orthotropic rotating hyperbolic disk fitted with stiff rod

The main objective of the problem is to evaluate the stresses and displacement in an orthotropic hyperbolic spinning disc equipped with a stiff rod that has a changeable density parameter. The methodology of transition theory developed by B.R. Seth is applied to simplify the governing differential equation of the considered physical problem. This theory has the advantage of taking the material's nonlinear character into account. Based on the stress analysis of rotating discs composed of various orthotropic materials, the following conclusions are reached: the angular velocity is maximal in the convergent disc made of topaz material (orthotropic) in elastic state, but in the plastic state angular velocity is maximal for divergent disc of steel. When compared to other materials under consideration, the diverging disc constructed of barite has the largest stresses in the elastic state and compressive fully plastic stresses are the highest in the diverging disc of topaz at the outer surface. Based on all numerical calculations and graphs it is observed that the convergent disc of topaz is a better option for the designing purpose compared to the other materials.