Elastic-plastic transitional stresses distribution and displacement for transversely isotropic circular disc with inclusion subject to mechanical load

Abstract

Seth's transition theory is applied to the problems of mechanical load in a thin rotating disc by finite deformation. Neither the yield criterion nor the associated flow rule is assumed here. The results obtained here are applicable to compressible materials. If the additional condition of incompressibility is imposed, then the expression for stresses corresponds to those arising from Tresca yield condition. It has been observed that rotating disc made of isotropic material required higher angular speed to yield at the internal surface as compared to disc made of transversely isotropic materials. Effect of mechanical load in a rotating disc with inclusion made of isotropic material as well as transversely isotropic materials increase the values of angular speed yield at the internal surface. With the introduction of mechanical load rotating disc made of Beryl material required maximum radial stress as compare to disc made of Mg and Brass materials at the internal surface.

Keywords

• transversely isotropic
• disc
• shaft
• stresses
• displacement
• yielding