Elastic analysis of pressurized thick cylindrical shells with variable thickness made of functionally graded materials

Ghannad, Mehdi; Rahimi, G. H.; Nejad, Mohammad Zamani

doi:10.1016/j.compositesb.2012.09.043

Cited by 71 publications

(28 citation statements)

References 19 publications

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“…Abediokhchi et al (2013) presented a bending analysis for the FGM conical panels based on the FSDT and generalized differential quadrature (GDQ) solution method. The FSDT and the perturbation theory were employed by Ghannad et al (2013) for deformation and stress analysis of axisymmetric clamped variable thickness FGM cylindrical shells under internal pressures. Tornabene et al (2013) applied the GDQ Method, FSDT, and stress recovery approach for stress analysis of transversely graded and laminated composite shells of revolution.…”

Section: Introductionmentioning

confidence: 99%

Analytical Bending and Stress Analysis of Variable Thickness FGM Auxetic Conical/Cylindrical Shells with General Tractions

Shariyat

2017

Lat. Am. j. solids struct.

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Section: Introductionmentioning

confidence: 99%

Analytical Bending and Stress Analysis of Variable Thickness FGM Auxetic Conical/Cylindrical Shells with General Tractions

Shariyat

2017

Lat. Am. j. solids struct.

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“…Thus, applying the rule of mixture (13) first to the coefficient of thermal expansion α(r) and then also to the density ρ(r), the uniaxial yield limit σ y (r), and the thermal conductivity k(r) one obtains P r eff (r) = A P r r a m + B P r (17) with…”

Section: Governing Equationsmentioning

confidence: 99%

“…Now, the governing equations for the FGM-panel can be derived. First, using (12), (15), (17), and (18), the axial stress can be expressed by…”

Section: Governing Equationsmentioning

confidence: 99%

Radial heating of a thick‐walled cylindrically curved FGM‐panel

2016

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A cylindrically curved panel in a state of generalized plane strain subject to a radial temperature gradient is discussed by analytical means. The ends of this thick‐walled shell are presupposed to be guided in such a way that a displacement in circumferential direction may occur and that the radius of the middle surface remains unchanged. Then, couples act on those ends, giving rise to pure bending condition. The material is power‐law functionally graded, and – based on the rule of mixtures – a coherent dependence of all the material properties (except for Poisson's ratio) on the radial coordinate is taken into account. The stresses occurring for both a positive and a negative temperature gradient are analyzed, and one finds that, depending on the grading exponent, the yield limit according to von Mises may be reached either at the inner surface, the outer surface or at both surfaces simultaneously. Numerical results are provided for a steel/aluminum FGM, and it is shown that by appropriate grading not only a reduction of the couples acting at the supports but in some cases also a considerable reduction of the weight of the panel may be achieved.

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“…They assumed a realistic parabolic variation of transverse shear strains through the shell thickness and considered Sander's approximations to include the effect of three curvature terms in the strain components of composite shells. Ghannad et al (2013) presented a closed form analytical solution for clamped-clamped thick cylindrical shells with variable thickness made of functionally graded materials subjected to constant internal pressure based on FSDT.…”

Section: Introductionmentioning

confidence: 99%

Elastic analysis of pressurized thick FGM cylinders with exponential variation of material properties using TSDT

Ghannad

Gharooni

2015

Lat. Am. j. solids struct.

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In this research, the general governing set of differential equations for axisymmetric thick FG pressurized cylinders with exponential function of material properties is derived based on third order shear deformation theory. Afterwards, a general analytical solution of governing equations based on Eigen values problems is conducted for cylinders under clamped ends condition. Furthermore, a numerical modeling is done in order to compare the results of two different solution and prove the accuracy of analysis. The displacements and stresses resulted from FEM and TSDT are depicted for a case study along the radial and longitudinal direction of the cylinder. Afterwards, the effect of internal and external pressure, FGM inhomogeneity constants and higher order approximation is investigated. The results of SDT and FEM show good agreement and prove the fact that usage of FGM cylinders causes lower values of displacements and stresses.

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Elastic analysis of pressurized thick cylindrical shells with variable thickness made of functionally graded materials

Cited by 71 publications

References 19 publications

Analytical Bending and Stress Analysis of Variable Thickness FGM Auxetic Conical/Cylindrical Shells with General Tractions

Analytical Bending and Stress Analysis of Variable Thickness FGM Auxetic Conical/Cylindrical Shells with General Tractions

Radial heating of a thick‐walled cylindrically curved FGM‐panel

Elastic analysis of pressurized thick FGM cylinders with exponential variation of material properties using TSDT

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