ABSTRACT

Rotating discs are found in a range of engineering applications such as steam turbines, gas turbine engines, flywheels, automobile engine, turbo generator, gears, compressors, disc brakes of cars, shrink fits, circular saws, storage devices (hard disks, blue ray disks, etc.), computer disc drivers, and so on. The use of rotating discs in engineering application has generated considerable interest in many problems and has made a longstanding research area in the domain of mechanics of solid so that researchers devoted to the analysis of stresses in rotating discs to achieve the optimum design of structural components.

In this chapter, exhaustive literature review has been reviewed on the analysis of elastic-plastic and creep deformation in rotating disc using classical and nonclassical treatment. In classical treatment, researchers used simplifying empirical assumptions like yield criterion and the associated flow rule for elastic-plastic transition and creep strain laws (or a power relationship between stress and strain) for creep transition. However, in 2nonclassical treatment, researchers used the transition theory combined with the generalized strain measure which does not require any yield condition or creep law that means they used Seth’s transition and generalized strain measure theory. The nonclassical treatment of an elastic-plastic and creep transition in rotating disc was started after 1962 and after 1972, respectively.

The review of the literature reveals that the analysis of stresses and strains in rotating disc has been extensively performed with regard to elastic-plastic and creep transition in classical treatment having constant thickness and especially variable thickness in an isotropic and transversely isotropic rotating disc. However, the studies using the nonclassical treatment of rotating discs are rather limited as compared with classical treatment even though the real behavior of the transition of the material is nonlinear and the method neglects the empirical assumptions.

Recent studies from the literature review indicate that elastic-plastic transitional stress distribution and displacement for transversely isotropic rotating discs subject to mechanical load having variable thickness or variable density, creep stresses and strains for transversely isotropic rotating disc having constant thickness, and creep stresses and strains for a thin-rotating disc having variable thickness and variable density with edge load have been studied.

In view of this, there is a need to investigate elastic-plastic and creep transitional stresses and strains for transversely isotropic/orthotropic rotating disc having variable thickness or variable density under different loading such as thermal gradient, internal pressure, and external pressure.