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

Abstract

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.

Secondary Creep Analysis of FG Rotating Cylinder with Exponential, Linear and Quadratic Volume Reinforcement

“…Here, B(r) and n(r) are given by Equation (6). The constant C is evaluated by using the boundary condition at r = r o and is given as,…”

“…Nejad et al [ 5 ] derived exact closed-form solutions as well as finite element analysis for stresses and the displacements in pressurized thick spherical shells made of functionally graded materials with exponentially varying properties subjected to internal and external pressure. Sharma et al [ 6 ] conducted safety analysis for thermal non-homogeneous thick-walled circular cylinder under internal and external pressure by using transition theory based on generalized principal Lebesgue strain measure in order to understand how the possibility of material fracture can be minimized. Sahni and Sharma [ 7 ] obtained creep stresses in a transversely isotropic thick-walled rotating circular cylinder using Seth’s transition theory and measured the effect of external pressure and rotation.…”

Thermal Creep Deformation in Pressurized Thick-Walled Functionally Graded Rotating Spherical Shell

“…In this problem, we have considered only the principal stresses and it has been shown that [5][6][7][8] transition through τ rr − τ θθ results in creep state for the critical point Q → -1. Thus transition function R is defined as…”

“…Sharma et al [7] investigated thermal creep stresses and concluded that thick-walled circular cylinder under external pressure is better for the designing purpose as compared to homogeneous cylinder. Sharma et al [8] investigated thermal creep stresses for functionally graded thick-walled circular cylinder under pressure and concluded that functionally graded cylinder reduces the possibility of fracture of cylinder. With theoretical analysis and designing in the mind, this paper emphasize on the derivation of simple but reasonably accurate mathematical solutions to a wide range of shell problems.…”