Thickness variation parameter in a thin rotating disc by finite deformation

Abstract

Seth’s transition theory is applied to the problems of thickness variation parameter 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 effect of thickness for incompressible material of the rotating disc required higher percentage increased in angular speed to become fully plastic as compared to rotating disc made of compressible materials. For flat disc compressible materials required higher percentage increased in angular speed to become fully plastic as compared to disc made of incompressible material. With effect of thickness circumferential stresses are maximum at the external surface for compressible materials as compared to incompressible materials whereas for flats disc circumferential stresses are maximum at the internal surface for incompressible material as compared to compressible materials.

Keywords

• stresses
• displacement
• disc
• angular speed
• thickness
• deformation