Axisymmetric Mechanical and Thermal Stresses in Thick Long FGM Cylinders

Jabbari, Mohsen; Bahtui, A.; Eslami, M. R.

doi:10.1080/01495730500499118

Cited by 55 publications

(15 citation statements)

References 13 publications

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“…The functionally graded cylinder is free to expand in the axial direction and twist about its axis, i.e., axial force F = 0 and torque T = 0 in Eq. (11). The cylinder is divided into 100 layers of equal thickness in the radial direction with 10 series terms per layer to expedite convergence and obtain accurate results.…”

Section: Fiber-reinforced Functionally Graded Cylindricalmentioning

confidence: 99%

“…Zimmerman and Lutz [9] have solved the plane strain problem of an isotropic solid cylinder under uniform heating using the Frobenius method. The two-dimensional steady state thermal stresses in functionally graded hollow cylinders has been investigated by Jabbari et al [10][11][12]. Transient axisymmetric thermoelastic analyses of functionally graded hollow cylinders have been performed by Shao et al [13] and Ootao and Tanigawa [14].…”

Section: Introductionmentioning

confidence: 98%

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Exact Thermoelastic Analysis of Functionally Graded Anisotropic Hollow Cylinders with Arbitrary Material Gradation

Vel

2011

Mechanics of Advanced Materials and Structures

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An exact solution is presented for the thermoelastic analysis of functionally graded long hollow cylinders. The functionally graded material is assumed to have temperature-dependent cylindrical monoclinic material properties that vary as a function of the radial coordinate. Thermal and mechanical boundary conditions are specified on the inner and outer surfaces of the cylinder. In addition, the net axial force and torque acting on the cylinder are prescribed. The nonlinear steady-state heat conduction equation is solved using an iterative power-series solution procedure to obtain the temperature field. Subsequently, the three-dimensional thermoelasticity equations are solved using a power-series solution procedure to obtain the displacements and stresses. The solution procedure is applicable to hollow cylinders with an arbitrary variation of material properties in the radial direction. The convergence of the analytical solution is improved by dividing the hollow cylinder into multiple functionally graded concentric layers or sub-cylinders through the introduction of fictitious material interfaces. Results are presented for isotropic tungsten/copper functionally graded cylinders. The homogenized properties of the composite material are evaluated using the selfconsistent scheme. The temperature, displacements and stresses are compared with numerical results obtained using the elementfree Galerkin method and the effect of material gradation on the response of the cylinder is scrutinized. Results are also presented for a fiber-reinforced titanium/silicon carbide composite cylinder with functionally graded fiber orientation. The silicon carbide fibers are oriented in the axial direction on the inner surface and circumferential direction on the outer surface with a sigmoidal variation in between. The radial variation of temperature, displacements and stresses are investigated for different sigmoid exponents.

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Section: Fiber-reinforced Functionally Graded Cylindricalmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

Exact Thermoelastic Analysis of Functionally Graded Anisotropic Hollow Cylinders with Arbitrary Material Gradation

Vel

2011

Mechanics of Advanced Materials and Structures

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“…Ruhi, Angoshtari, and Naghdabadi (2005) presented a semi-analytical thermoelasticity solution for thick-walled finite-length cylinders made of FGMs. Jabbari, Bahtui, and Eslami (2006) developed the analysis of axisymmetric mechanical and thermal stresses for a long hollow cylinder made of FGM, as functions of radial and longitudinal directions. Kordkheili and Naghdabadi (2007) presented an analytical thermoelasticity solution for hollow finite-length cylinders made of FGMs exposed to thermal loads, internal pressure and axial loadings.…”

Section: Introductionmentioning

confidence: 99%

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

Jabbari

Nejad

Ghannad

2015

International Journal of Engineering Science

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“…Awaji and Sivakumar [7] presented a numerical technique for analyzing one dimensional transient temperature distributions in a circular hollow cylinder that was composed of functionally graded ceramic-metal-based materials, with considering the temperaturedependent material properties. A 1-D steady state mechanical and thermal stress analysis of a thick hollow cylinder under axisymmetric and non-axisymmetric loads was studied by Jabbari et al [8][9][10]. Liew et al [11] sectioned the FGM cylinder into a number of homogeneous sub-cylinders.…”

Section: Introductionmentioning

confidence: 99%