Generalized stress–strain recovery formulation applied to functionally graded spherical shells and panels under static loading

Viola, Erasmo; Rossetti, Luigi; Fantuzzi, Nicholas; Tornabene, Francesco

doi:10.1016/j.compstruct.2015.12.060

Cited by 36 publications

(7 citation statements)

References 108 publications

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“…1 In the theory of shells, the study of inhomogeneous shells occupies a special place. [2][3][4][5][6][7][8] The complexity of the phenomena arising from the deformation of inhomogeneous plates and shells led to the creation of various applied theories, each of which is based on a certain system of hypotheses. Despite the existence of a number of applied theories of inhomogeneous shells based on various hypotheses, the areas of their applicability have been little studied to date.…”

Section: Introductionmentioning

confidence: 99%

Investigation of elasticity problem for the radially inhomogeneous transversely isotropic sphere

Akhmedov

Yusubova

2022

Math Methods in App Sciences

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The axisymmetric problem of the theory of elasticity for the radially heterogeneous transverse‐isotopic nonclosed spheres is studied, which does not contain any of the poles 0 and π. The elasticity modules are taken as the linear functions of the radius of the sphere. It is assumed that the lateral surface of the sphere is free from stresses, and in the conical sections, the arbitrary stresses are set that provide equilibrium for the sphere. After consideration of the homogeneous boundary conditions, set on the lateral surfaces of the sphere, the characteristic equation for the spectral parameter is obtained. On the basis of the asymptotic analysis, a classification of the roots of the characteristic equation is made relatively small parameter that characterizes the thickness of the sphere. Corresponding asymptotic solutions are constructed depending on the roots of the characteristic equation. The behavior of the constructed solutions is studied in the internal parts of the sphere, as well as in the neighborhood of the conical sections.

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Section: Introductionmentioning

confidence: 99%

Investigation of elasticity problem for the radially inhomogeneous transversely isotropic sphere

Akhmedov

Yusubova

2022

Math Methods in App Sciences

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“…The properties of FGM are unique and different from any of the individual material that forms it. The FGMs have been also subjected to various types of studies including free vibration, buckling and thermo-mechanical analyses [4][5][6][7][8][9][10][11][12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

A semi-analytical boundary method in investigation of dynamic parameters of functionally graded storage tank

Khayat

Baghlani

Dehghan

2020

J Braz. Soc. Mech. Sci. Eng.

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In this study, semi-analytical boundary method is adopted to examine dynamic parameters of partially fluid-filled cylindrical shells made of functionally graded materials. Material properties are assumed to radially variable in terms of volume fraction of ceramic and metal according to a simple power law distribution. The shells are reinforced by stiffeners in which the material properties of shell and stiffeners are assumed to be continuously graded in thickness direction. Displacements and rotations of the shell middle surface, the liquid velocity potential function and the free surface displacements are approximated by combining polynomial functions in meridian direction and truncated Fourier series and Bessel function. A detailed numerical study is carried out to investigate the effects of different parameters on dynamic response of stiffened functionally graded partially fluid-filled shell.

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“…al. [25] studied the static behavior of functionally graded spherical shells and panels subjected to uniform loadings, the material properties are graded in the thickness direction according to a four-parameter power law, and a GDQ numerical technique is used to solve the system of differential equations. Arefi and Zenkour [26] investigated the problems of functionally graded spherical pressure vessels using non-linear shell theory and Adomians decomposition method.…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic problems of functionally graded multilayered incompressible spherical bodies

Havellant

Kiss

2020

MDT

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The main objective of this paper is to determine the stresses and displacements in radially graded multilayered spherical bodies made from incompressible functionally graded materials. The material properties are arbitrary functions of the radial coordinate. The body is subjected to constant pressure and a temperature field, which is an arbitrary function of the radial coordinate. An analytical method is presented to tackle these problems then compared to solutions coming from finite element simulations.

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Generalized stress–strain recovery formulation applied to functionally graded spherical shells and panels under static loading

Cited by 36 publications

References 108 publications

Investigation of elasticity problem for the radially inhomogeneous transversely isotropic sphere

Investigation of elasticity problem for the radially inhomogeneous transversely isotropic sphere

A semi-analytical boundary method in investigation of dynamic parameters of functionally graded storage tank

Thermoelastic problems of functionally graded multilayered incompressible spherical bodies

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