Thermo-elastic analysis of axially functionally graded rotating thick cylindrical pressure vessels with variable thickness under mechanical loading

Jabbari, Mehdi; Nejad, Mohammad Zamani; Ghannad, Mehdi

doi:10.1016/j.ijengsci.2015.07.005

Cited by 47 publications

(8 citation statements)

References 43 publications

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“…Furthermore, its effects on thermal and mechanical stresses are insignificant. For simplicity, Poisson's ratio is assumed to be constant (Akbari Alashti et al, 2013;Jabbari et al, 2015). Using relations (4.1)-(4.5), the Navier equation in term of the displacement is…”

Section: Governing Equationmentioning

confidence: 99%

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

Çelebi

Yarımpabuç

Keles

2017

jtam

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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.

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Section: Governing Equationmentioning

confidence: 99%

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

Çelebi

Yarımpabuç

Keles

2017

jtam

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“…Rotating disk, cylinder and sphere with variable thickness are analysed and reported in [6]. Thermo-elastic, thermomechanical stress analysis has been conducted in few literatures [7][8][9][10]. Semi exact solution of non uniform disk was analysed and presented in [11] and [12].…”

Section: Introductionmentioning

confidence: 99%

Exact solution for the thermo-elastic deformation and stress states of FG rotating spherical body

Sahu

Sondhi

Bhowmick

et al. 2020

Journal of the Mechanical Behavior of Materials

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In this paper, a generalized solution for 1-D steady-state mechanical and thermal deformation and stresses in rotating hollow functionally graded spherical body is presented. Spherical shells are treated under mechanical and thermal loads in the form of rotational body force with heat generation. Temperature distribution is assumed to vary along the radial direction due to variable heat generation. General uniform mechanical boundary condition at inner and outer surfaces along with prescribed temperatures at both the ends are assumed as boundary conditions. In the present study, material properties are taken as power function of radius with grading parameter ranging between −2 to 3. Governing differential equation with variable coefficient is developed and solved to find deformation and stresses. The obtained results are verified with benchmark results and are found to be in good agreement. Results show that deformation and stresses decrease with an increase in the value of grading parameter and are less as compared to the homogeneous body.

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“…Eraslan and Akis [18] performed the elastic-plastic analysis of FG pressurized tube subjected to thermal load. Jabbari et al [19] investigated the thermoelastic problem of the rotating thick FG cylindrical shell with material gradient in axial direction utilizing multilayer method (MLM). Chikh et al [20] carried out nonlinear postbuckling analysis of symmetric FG plate under thermomechanical loads.…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic Analysis of Rotating Functionally Graded Truncated Conical Shell by the Methods of Polynomial Based Differential Quadrature and Fourier Expansion-Based Differential Quadrature

Mehditabar

Rahimi

Fard

2018

Mathematical Problems in Engineering

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This paper focuses on the three-dimensional (3D) asymmetric problem of functionally graded (FG) truncated conical shell subjected to thermal field and inertia force due to the rotating part. The FG properties are assumed to be varied along the thickness according to power law distribution, whereas Poisson’s ratio is assumed to be constant. On the basis of 3D Green-Lagrange theory in general curvilinear coordinate, the fundamental equations are formulated and then two versions of differential quadrature method (DQM) including polynomial based differential quadrature (PDQ) and Fourier expansion-based differential quadrature (FDQ) are applied to discretize the resulting differential equations. The reliability of the present approach is validated by comparing with known literature where good agreement is reached using considerably few grid points. The effects of different mechanical boundary conditions, temperature fields, rotating angular speed, and shell thickness on the distributions of stress components and displacement in thickness direction for both axisymmetric and asymmetric cases are graphically depicted.

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Thermo-elastic analysis of axially functionally graded rotating thick cylindrical pressure vessels with variable thickness under mechanical loading

Cited by 47 publications

References 43 publications

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

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

Exact solution for the thermo-elastic deformation and stress states of FG rotating spherical body

Thermoelastic Analysis of Rotating Functionally Graded Truncated Conical Shell by the Methods of Polynomial Based Differential Quadrature and Fourier Expansion-Based Differential Quadrature

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