Thermo Elastic-Plastic Analysis of Rotating Functionally Graded Stainless Steel Composite Cylinder under Internal and External Pressure Using Finite Difference Method

Abstract

The thermal elastic-plastic stresses have been investigated for a rotating functionally graded stainless steel composite cylinder under internal and external pressure with general nonlinear strain hardening law and von Mises' yield criterion using finite difference method. The modulus of elasticity in the rotating cylinder varies radially according to power law and the temperature distribution satisfies Laplace heat equation in radial direction. From the analysis, we can conclude that cylinder made of functionally graded stainless steel composite material with variable thickness and variable density under thermal loading for Swift's strain hardening measure = 0.6 is better choice of the design as compared to homogeneous cylinder. This is because of the reason that circumferential stress is less for functionally graded stainless steel composite cylinder as compared to homogeneous cylinder for Swift's strain hardening measure = 0.6 under internal and external pressure. This leads to the idea of "stress saving" which minimizes the possibility of fracture of cylinder.

Effects of homogeneous and inhomogeneous heating on rotating shrink fits with annular inclusion and functionally graded hub

“…where p j denotes a plastic strain component; as frequently presumed for cylindrical FGM-devices, Poisson's ratio is considered as constant (see, e.g., [13], Sharma and Yadav [40], Nejad and Fatehi [41]). As a matter of course, in a virgin elastic material p j ¼ 0: For the FGM-hub, it is presupposed that E, a; and q-and also the uniaxial yield limit r y and the thermal conductivity k-depend on the radial coordinate by a power law [13,41].…”

Radial heating of a thick‐walled cylindrically curved FGM‐panel

“…Next, for the FGM the dependence of E and α on the radial coordinate must be specified: As was already mentioned in the Introduction, power laws are presumed (e.g. ). The basic grading law is however not postulated for the volume fractions of the constituents, but for the modulus of elasticity, and the dependence of the other physical quantities on r is then derived by the rule of mixture ; this approach allows to find a closed‐form solution of the differential equations .…”

“…For the sake of completeness, it shall be mentioned that there also exist studies of the related problems of thermally loaded FGM‐hollow cylinders (e.g. ) and thick‐walled FGM‐shells loaded mechanically only (e.g. ).…”

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

“…Nezad et al [3] determined stresses in thick functionally graded shell having exponentially variable properties subjected to pressure and concluded that non-homogeneity plays significant role on displacement and stress distribution. Sharma et al [4] obtained the numerical solution for thermal elastic-plastic stresses in a functionally graded stainless steel composite cylinder with nonlinear strain hardening and Von-Mises' yield criterion using finite difference method and concluded that cylinder made of functionally graded stainless steel composite material with variable thickness and variable density under thermal loading is better choice of the design as compared to homogeneous cylinder. All these authors adopt the classical approach to investigate the stresses using the assumption of yield criterion, Norton's law.…”