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

Purpose - Safety analysis has been done for thermal non-homogeneous thick-walled circular cylinder under internal and external pressure. The paper aims to discuss these issues. Design/methodology/approach - Transition theory based on the concept of generalized principal Lebesgue strain measure has been used which simplifies the constitutive equations by prescribing a priory the order of the measure of deformation and helps to achieve better agreement between the theoretical and experimental results. Findings - From the analysis, the paper can conclude that by introducing a suitably chosen temperature gradient, non-homogeneous compressible circular cylinder with internal and external pressure for non-linear measure is on the safer side of the design as compared to the cylinder without temperature because circumferential stresses are less for cylinder with temperature as compared to cylinder without temperature. Practical implications - Introduction of temperature gradient leads to the idea of "Stress Saving" and minimizing the possibility of fracture of cylinder. Originality/value - The paper shows that circumferential stresses are less for cylinder with temperature gradient as compared to cylinder at constant temperature, which leads to the idea of "Stress Saving" and minimizing the possibility of fracture of cylinder.