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

Abstract

Creep stresses have been derived using transition theory 7 . The results for the combined effects of angular speed and temperature are calculated and depicted graphically. It has been observed that a cylinder made of less compressible material at the internal surface and highly compressible at the outer surface is on the safer side of the design for different values of N, W 2 and temperature as compared to highly compressible material at the internal surface and less compressible at the outer surface.

Safety analysis of thermal creep non-homogeneous thick-walled circular cylinder under internal and external pressure using Lebesgue strain measure

“…In this problem, we only considered the principal stresses s rr , s uu and s zz and therefore, the transition can take place either through the principal stresses s rr or s uu becoming critical or through the principal stress difference s rr 2 s uu becoming critical. It has been shown by many authors (Sharma, 2009;Pankaj, 2011;Gupta and Sharma, 1998;Seth, 1972) that transition through principal stress difference leads to creep for critical point P ! 2 1.…”

“…This suggests that at transition, non-linear terms are very important and neglect of which may not represent the real physical phenomenon. This concept of transition theory was applied by many authors (Sharma, 2009;Pankaj, 2011;Gupta and Sharma, 1998), i.e. Sharma (2009) investigated creep stresses in non-homogeneous thick-walled rotating cylinders while Pankaj (2011) determine the creep stresses of a thick isotropic spherical shell under steady state temperature and internal pressure and Gupta and Sharma (1998) studied thermo creep transition of non-homogeneous thick-walled circular cylinder under internal pressure.…”

“…This concept of transition theory was applied by many authors (Sharma, 2009;Pankaj, 2011;Gupta and Sharma, 1998), i.e. Sharma (2009) investigated creep stresses in non-homogeneous thick-walled rotating cylinders while Pankaj (2011) determine the creep stresses of a thick isotropic spherical shell under steady state temperature and internal pressure and Gupta and Sharma (1998) studied thermo creep transition of non-homogeneous thick-walled circular cylinder under internal pressure. This paper is an extension of Gupta MMMS 9,4 and Sharma (1998) to include the effect of external pressure because these days cylinder with internal and external pressure is an important design consideration in nuclear industry.…”

Creep strain rates analysis in cylinder under temperature gradient materials by using Seth’s theory

“…Sharma (2004) analyzed elastic-plastic transition of a non-homogeneous thick-walled circular cylinder under internal Pressure. Sharma (2009) discussed thermal creep transition in non-homogeneous thick-walled rotating cylinders. Thakur (2011) has analyzed elastic-plastic transition stresses in rotating cylinder by finite deformation under steady- state temperature by using Seth’s transition theory.…”

“…Seth’s transition theory does not acquire any assumptions like a 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. This theory uses 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 (Seth, 1962, 1966; Sharma, 2004, 2009; Thakur, 2011, 2015; Thakur et al , 2016).…”