Mechanical and thermal stresses in a functionally graded hollow cylinder due to radially symmetric loads

Jabbari, Mohsen; Sohrabpour, Saeed; Eslami, M. R.

doi:10.1016/s0308-0161(02)00043-1

Cited by 342 publications

(161 citation statements)

References 9 publications

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“…The comparisons of temperature distributions and stress distributions are presented in form of tables. The numerical results for all cases are shown to exactly match those reported by Jabbari et al (2002). Finally, we can conclude that:…”

Section: Resultssupporting

confidence: 80%

“…Shao et al (2008) used complex Fourier series and Laplace transform techniques to investigate transient heat conduction and thermo-mechanical stresses in an FGM hollow cylinder. Jabbari et al (2002Jabbari et al ( , 2003Jabbari et al ( , 2009) derived the exact solution for one-dimensional and two dimensional steady-state thermoelastic problems of functionally graded hollow cylinders where material properties varied with the power product form of the radial coordinate variable. Recently Ruhi et al (2005) studied thermoelastic analysis of thick walled finite length cylinders of functionally graded materials and achieved results for stress, strain and displacement components through the thickness and along the length.…”

Section: Introductionmentioning

confidence: 99%

“…A thick hollow cylinder of FGM under one-dimensional steady-state temperature distribution with general types of thermal and mechanical boundary conditions is analysed. Two material models are used: (a) with a simple power law with constant Poisson's ratio (Jabbari et al, 2002) for which analytical benchmark solutions are available, (b) with exponentially-varying properties. It should be emphasized once again that the solution procedure is not confined to any particular choice of the material model; it is equally suitable for arbitrary functions defining the gradient variation of material properties.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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: Resultssupporting

confidence: 80%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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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“…2-4. Also, analytical solutions given in (Jabbari et al 2002) are plotted in these figures. Very good agreement is observed between the results of the present analysis based on the FD analyses with both the FE and the exact analytical results.…”

Section: Resultsmentioning

confidence: 99%

Transient Stress Intensity Factors of Functionally Graded Hollow Cylinders with Internal Circumferential Cracks

Eshraghi

Soltani

Rajabi

2016

Lat. Am. j. solids struct.

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“…Mechanical and thermal stresses in a functionally graded hollow cylinder were investigated by Jabbari et al [1]. Analysis of the thermal stress behavior of functionally graded hollow circular cylinders was presented by Liew et al [2].…”

Section: Introductionmentioning

confidence: 99%

Elastic analysis of polymeric cylinders reinforced with carbon nanotubes

Hosseini

Kolahchi

Heydari

2016

J. Appl. Math. Comput. Mech.

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Abstract. In this work, stress analysis of a polymeric cylinder's cylindrical shell reinforced with carbon nanotubes (CNTs) is investigated. The cylinder is subjected to mechanical and thermal loadings. All the equivalent mechanical and thermal properties of nano-composite cylinder are obtained using Mori-Tanaka model. Based on equilibrium, the governing equation is derived. Using an exact solution, the stresses and radial displacement distributions in the structure are calculated. The effects of CNTs volume percent on the stresses and radial displacement for internal and external pressure cylinder are the main discussion of this study. Numerical results indicate that with increasing CNTs volume percent, the stresses decrease. However, this shows the important effect of nanotechnology in stress reduction of cylinder which may be useful in sensors and actuators.

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Mechanical and thermal stresses in a functionally graded hollow cylinder due to radially symmetric loads

Cited by 342 publications

References 9 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

Transient Stress Intensity Factors of Functionally Graded Hollow Cylinders with Internal Circumferential Cracks

Elastic analysis of polymeric cylinders reinforced with carbon nanotubes

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