A novel approach to thermal and mechanical stresses in a FGM cylinder with exponentially-varying properties

Abstract

A novel approach is employed to a general solution for one-dimensional steady-state thermal and mechanical stresses in a hollow thick cylinder made of a functionally graded material (FGM). The temperature distribution is assumed to be a function of radius, with general thermal and mechanical boundary conditions on the inside and outside surfaces of the cylinder. The material properties, except Poisson's ratio, are assumed to be exponentially-varying through the thickness. Forcing functions applied to the inner boundary are internal pressures which may be in form of steps. These conditions result in governing differential equations with variable coefficients. Analytical solutions to such equations cannot be obtained except for certain simple grading functions and pressures. Numerical approaches must be adopted to solve the problem in hand. The novelty of the present study lies in the fact that the Complementary Functions Method (CFM) is employed in the analysis. The Complementary Functions method (CFM) will be infused into the analysis to convert the problem into an initial-value problem which can be solved accurately. Benchmark solutions available in the literature are used to validate the results and to observe the convergence of the numerical solutions. The solution procedure is well-structured, simple and efficient and it can be readily applied to cylinders. It is also well suited for problems in which mechanical properties are graded.

Thermal stress analysis of functionally graded solid and hollow thick-walled structures with heat generation

“…As it causes lower variation between the inner and outer walls, it can be concluded that MC 2 is more suitable because of keeping circumferential stress stable along the wall thickness. These results also agree with the findings of Celebi et al (2017) and Eslami et al (2005). Because of the geometric difference, the results obtained for the spherical body are lower compared with the cylindrical body.…”

“…They have mainly examined the effects of the elastic moduli, Poisson ratio and the thermal expansion coefficient of two constituents on the results. Celebi et al (2016Celebi et al ( , 2017) carried out the one-dimensional steady-state thermal and mechanical stresses analysis for a thick cylinder/sphere made of exponentially graded materials by complementary functions method. An analytical solution of clamped-clamped thick-walled FG cylinder with power-law varying material properties in radial directions is discussed in Gharooni et al (2016)'s study for deformations and stresses under internal pressure and thermal loading.…”

Heat Conduction Problems in a Homogeneous Pipe with Inner Nonhomogeneous Coating

“…The production of such materials requires the use of advanced technologies during their production [1]. Due to the high costs of obtaining the coatings and the functionality that should be met by such materials, they require the development of some accurate modeling methods, both numerical and analytical, allowing forecasting of temperature, heat flux, displacement and stress distribution with the expected accuracy of calculations [2].…”

A Practical Jointed Approach to Thermal Stress Analysis of FGM Disc

“…The major aim of this research is to show an effective and correct resolution technique. CFM is an effective and basic resolution procedure with a theoretic background in the written works [28,29] The technique is effectively employed to structures such as curved rods [30], composite beams [31], cylinders [32,33], spheres [34] and annular fin [35,36] with different structural mechanical problems.…”