Creep Transition in a Thin Rotating Disc with Rigid Inclusion

Abstract

Creep stresses and strain rates have been obtained for a thin rotating disc with inclusion using Seth's transition theory. Results have been discussed numerically and depicted graphically. It has been observed that radial stress has maximum value at the internal surface of the rotating disc made of incompressible material as compared to circumferential stress and this value of radial stress further increases with the increase in angular speed. Strain rates have maximum values at the internal surface for compressible material. Rotating disc is likely to fracture by cleavage close to the inclusion at the bore

Mathematical model in a thin non-homogeneous rotating disc for isotropic material with rigid shaft by using Seth's transition theory

“…[4,[10][11][12], SHUKLA [8,9 ] , THAKUR [14 -42]) at the transition point P → ±∞ . We take the transition function T is defined as:…”

“…This theory [5] does not required any assumptions like an yield condition, incompressibility condition and thus poses and solves a more general problem from which cases pertaining to the above assumptions can be worked out. It utilizes the concept of generalized strain measure and asymptotic solution at critical points or turning points of the differential equations defining the deformed field and has been successfully applied to a large number of problems [7][8][9][10][11][12]. SETH [5] has defined the generalized principal strain measure as:…”

Thermo Creep Transition in Non-homogeneous Thick-walled Rotating Cylinders

“…For finding the creep stresses, the transition function is taken through the principal stress difference [7][8][9][10][11] at the transition point 1 P ® -. The transition function R is defined as ( )…”

“…It utilizes the concept of generalized strain measure and asymptotic solution at the turning points or transition points of the governing differential equation defining the deformed field and has been successfully applied to a large number of problems in creep [7][8][9][10][11] . The generalized principal strain measure is defined as where, a r b £ £ , a and b are internal and external radii, C 0 and k are constants.…”

Elastic-plastic stresses in a thin rotating disk with shafthaving density variation parameter under steady-state temperature

“…Seth's transition theory [4] does not required any assumptions like an yield criterion, incompressibility condition, associated flow rule and thus poses and solves a more general problem from which cases pertaining to the above assumptions can be worked out. This theory [4] utilizes the concept of generalized strain measure and asymptotic solution at critical points or turning points of the differential equations defining the deformed field and has been successfully applied to a large number of problems [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19].SETH [5]has defined the generalized principal strain measure as: …”