Thermal creep stress and strain analysis in non-homogeneous spherical shell

Abstract

The purpose of this paper is to present study of thermal creep stress and strain rates in a non-homogeneous spherical shell by using Seth's transition theory. Seth's transition theory is applied to the problem of creep stresses and strain rates in the non-homogeneous spherical shell under steady-state temperature. Neither the yield criterion nor the associated flow rule is assumed here. With the introduction of thermal effect, values of circumferential stress decrease at the external surface as well as internal surface of the spherical shell. It means that the temperature dependent materials minimize the possibility of fracture at the internal surface of the spherical shell. The model proposed in this paper is used commonly as a design of chemical and oil plants, industrial gases and stream turbines, high speed structures involving aerodynamic heating.

Creep deformation and stress analysis in a transversely material disk subjected to rigid shaft

“…To find the creep stresses and strain rates, the transition function is taken through principal stress difference [6–13] at the transition point P → − 1 . If the transition function Z is defined as:…”

“…To find the creep stresses and strain rates, the transition function is taken through principal stress difference [6][7][8][9][10][11][12][13] at the transition point P ! À1.…”

“…Seth's transition theory does not acquire any assumptions like a yield condition or incompressibility condition and thus poses and solves a more general problem from which cases pertaining to the above assumptions can be worked out. This theory 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 [6][7][8][9][10][11][12][13].…”

Elastoplastic Deformation in an Orthotropic Spherical Shell Subjected to a Temperature Gradient

“…For finding the plastic stresses distribution, the transition function is taken through the principal stresses [5, 8, 11, 12, 15–19] at the transition point P → ± ∞ , we define the transition function η as…”

“…Investigation pressure for spherical shell: Using boundary condition (11) Initial yielding: From (19), it has been seen that T uu À T rr j jis maximum at the inner surface (that is at r = a), therefore yielding of the spherical shell will take place at the inner surface and (19) can be written as…”