Exact and Numerical Elastic Analysis for the FGM Thick-Walled Cylindrical Pressure Vessels with Exponentially-Varying Properties

Nejad, Mohammad Zamani; Abedi, Majid; Lotfian, Mohammad Hassan; Ghannad, Mehdi

doi:10.1515/amm-2016-0267

Cited by 21 publications

(7 citation statements)

References 9 publications

(7 reference statements)

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“…Li and Liu [10] considered nonaxisymmetric load for elastic behavior of FG cylinders with the assumption of arbitrary varying material properties. An exponentially graded cylindrical pressure vessel in the plane strain condition is analyzed by Nejad et al [11]. The effect of the inhomogeneity on the stresses and different parameter values were considered, and the obtained results from the analytical solution were compared with the solution of the finite element method.…”

Section: Introductionmentioning

confidence: 99%

Elastic solutions based on the Mori-Tanaka scheme for pressurized functionally graded cylinder

Eker¹,

Yarımpabuç²,

Yıldırım³

et al. 2020

J. Appl. Math. Comput. Mech.

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In this paper, an elastic analysis of a thick-walled functionally graded cylinder subjected to internal pressure is examined. Material properties for the isotropic material are estimated to obey the Mori-Tanaka homogenization scheme through the thickness. The resulting two-point irregular boundary value problem is solved by the pseudospectral Chebyshev method that converts the boundary value problem to the system of equations, which can be solved by any appropriate decomposition method. Benchmark solutions are used to validate the method. The effect of the arbitrarily chosen volume fraction index is demonstrated for stress and displacement distributions. The effective stresses for different inner radius and volume fraction index are also discussed.

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Section: Introductionmentioning

confidence: 99%

Elastic solutions based on the Mori-Tanaka scheme for pressurized functionally graded cylinder

Eker¹,

Yarımpabuç²,

Yıldırım³

et al. 2020

J. Appl. Math. Comput. Mech.

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“…Rahimi [2]. Effect of material gradient on stresses of thick FG spherical pressure vessels using exponentially varying grading properties are given by M. Zamani Nejad, M. Gharibi [3]. A novel approach to stress analysis of pressurized FGM cylinder, disc and spheres is given by Naki Tutuncu, Beytullah Temel [4].…”

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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“…In their research, the considered FGM circular disk thickness was uniform, so they got mechanical behaviors of the rotating FGM circular disk in numerical solutions. Nejad et al [8] used hypergeometric function defined by Abramowitz and Stegun [9] to present elastic analysis of FGM thick-walled hollow cylindrical pressure vessel in plane strain condition. e vessel was subjected to internal and external pressure at the inner and outer surfaces, respectively.…”

Section: Introductionmentioning

confidence: 99%

Elastic Analysis for Rotating Functionally Graded Annular Disk with Exponentially-Varying Profile and Properties

Lin

2020

Mathematical Problems in Engineering

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Functionally graded materials have been widely used in engineering and human health applications. The issues about mechanical behavior of functionally graded material have received considerable attention. However, because of the complexity of material property, geometric profile, and mechanical load, there is still lack of proper analytic solutions about deformation and stress in many articles. The principal goal of this research is to study the effect of mechanical load on deformation and stress in rotating thin-walled functionally gradient material annular disk with exponentially-varying profile and properties. The inner and outer surfaces of annular disk are subjected to different pressures simultaneously. For this purpose, the infinitesimal theory of elasticity and axisymmetric plane stress assumptions has been proposed to formulate the governing equation. The governing equation is a generalized confluent hypergeometric differential equation, based on Whittaker’s functions; this is the first time that closed-form solutions of mechanical behaviors are revealed about proposed functionally gradient material model. Besides, another four boundary conditions are also discussed, i.e., the inner and outer surfaces of the annular disk are considered to be the combinations of free and clamped conditions. Numeric examples of two different functionally graded material properties are given to demonstrate displacement and stress solutions. Moreover, uniform disks made of homogeneous material under different boundary conditions are investigated, which are special cases of the proposed rotating functionally gradient material disks. Finally, some conclusions are made at the end of the present paper.

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Exact and Numerical Elastic Analysis for the FGM Thick-Walled Cylindrical Pressure Vessels with Exponentially-Varying Properties

Cited by 21 publications

References 9 publications

Elastic solutions based on the Mori-Tanaka scheme for pressurized functionally graded cylinder

Elastic solutions based on the Mori-Tanaka scheme for pressurized functionally graded cylinder

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

Elastic Analysis for Rotating Functionally Graded Annular Disk with Exponentially-Varying Profile and Properties

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