2019
DOI: 10.1590/1679-78255622
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New nonlinear solution of nearly incompressible hyperelastic FGM cylindrical shells with arbitrary variable thickness and non-uniform pressure based on perturbation theory

Abstract: In this paper, nonlinear analysis of thick cylindrical shells with arbitrary variable thickness made of hyperelastic FGM with radially variation of material properties in nearly incompressible state under non-uniform pressure loading is presented. Thickness and pressure of the shell vary in axial direction by linear and/or nonlinear functions. The governing equilibrium equations are derived based on shear deformation theory (SDT). The Mooney-Rivlin type material is considered which is a suitable hyperelastic m… Show more

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Cited by 6 publications
(3 citation statements)
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“…The inflation of cylindrical and spherical geometries is a popular problem studied by many authors, but here the case of Ghaaroni et al. [ 39 ] has been a reference study case. The cylinder is long L = 400 mm, the internal radius is fixed at R = 45 mm and the two thicknesses are h B = 12 mm and h A = 6 mm.…”
Section: Numerical Resultsmentioning
confidence: 99%
“…The inflation of cylindrical and spherical geometries is a popular problem studied by many authors, but here the case of Ghaaroni et al. [ 39 ] has been a reference study case. The cylinder is long L = 400 mm, the internal radius is fixed at R = 45 mm and the two thicknesses are h B = 12 mm and h A = 6 mm.…”
Section: Numerical Resultsmentioning
confidence: 99%
“…This purpose may be met by using stiffer inclusions that can even be tailored in a functionally graded manner. Some articles assumed that the material gradation can be achieved by using a single material whose all constants vary according to an identical and uniquely defined pattern along a specified direction (Gharooni and Ghannad, 2019; Hajhashemkhani and Hematiyan, 2020). Since the behavior of the hyperelastic materials is nonlinear and this nonlinearity is very hard to control for all regions of the slope-varying stress-strain curve, the occurrence of such an assumption may practically be impossible.…”
Section: Introductionmentioning
confidence: 99%
“…The constitutive equations are extracted based on the neo-Hookean model. Gharooni and Ghannad [ 13 ] studied the nonlinear analysis of functionally graded tapered hyperelastic cylindrical pressure vessels subjected to non-uniform pressure load.…”
Section: Introductionmentioning
confidence: 99%