Torsional buckling of spherical shells under circumferential shear loads

Yin-yi, Zhang

doi:10.1007/bf02458570

Cited by 3 publications

(7 citation statements)

References 5 publications

(3 reference statements)

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“…Hsiao and Chen [6] studied the structures of isoparametric shell by using iterative method. Yinyi [7] has investigated buckling of spherical shells under circumferential shear loads by using the Galerkin variational method. Dumir et al [8] have investigated buckling of laminated thick annular spherical cap by using an orthogonal point collocation method.…”

Section: Materials Usedmentioning

confidence: 99%

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Thermal stress analysis in a hemispherical shell made of transversely isotropic materials under pressure and thermo‐mechanical loads

et al. 2021

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This article deals with the study of thermal stress in a hemispherical shell made of transversely isotropic material under the effect of thermal, pressure and mechanical load. Seth's transition theory and generalized strain measure are used for finding the governing equation. Mathematical modelling is based on stress–strain relation and equilibrium equation. Analytical solutions are presented for the hemispherical shell made of transversely isotropic material and isotropic material. The effects of different pertinent parameters (i.e., temperature, pressure and load) are considered for the spherical shell made of transversely isotropic material. The behaviour of stress distribution, mechanical load, pressure rise, and temperature distribution are investigated. From the obtained results, it is noticed that carbon fiber material hemispherical shell requires higher pressure at the internal surface in comparison to magnesium/polypropylene material. With the introduction of mechanical load, the value of pressure decreases at the internal surface, but reverse results are obtained in the case of thermal condition for the hemispherical shell made of carbon fiber/magnesium/polypropylene material. By applying thermal condition, the hemispherical shell made of carbon fiber material requires maximum hoop stress at the external surface as compared to the magnesium/polypropylene material. The transversely isotropic material hemispherical shell more convenient than that of isotropic material hemispherical shell. Results have been discussed numerically and graphically.

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Section: Materials Usedmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Thermal stress analysis in a hemispherical shell made of transversely isotropic materials under pressure and thermo‐mechanical loads

et al. 2021

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“…The circumferential shear load is defined by the following surface densities [19] as projected in the spherical coordinate system ( e r , e θ , e ϕ ) (see Figure 3):…”

Section: Finite Element Modelmentioning

confidence: 99%

“…Dealing now with the buckling of spherical shells under shear loads, to the best knowledge of the authors, very few publications can be found in the literature. Yinyi [19] used differential geometry analysis and a Galerkin type procedure to retrieve and solve the exact equations for the buckling of a spherical shell under circumferential shear.…”

Section: Introductionmentioning

confidence: 99%

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Elastoplastic buckling and collapse of spherical shells under combined loadings

Tall

Hariri

Grognec

et al. 2018

Thin-Walled Structures

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In this paper, the buckling behavior of a complete spherical shell under external pressure and of a half-sphere under torsion are first investigated. Several parametric studies are performed, which rely on the European Recommendations framework (ECCS text), so as to identify the different key parameters of the corresponding buckling capacity curves and lead up to both a qualitative and quantitative discussion about the imperfection sensitivity of such structures under each fundamental load. The related results allow us to completely describe the buckling behavior of a spherical shell under combined external pressure and circumferential shear by means of interactive buckling curves, without the need of many supplementary computations for any arbitrary combined loading case.

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Singular Perturbations and Torsional Wrinkling in a Truncated Hemispherical Thin Elastic Shell

Coman

Bassom

2022

J Elast

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The work described in this paper is concerned with providing a rational asymptotic analysis for the partial wrinkling bifurcation of a thin elastic hemispherical segment in which the upper rim experiences in-plane circular shearing relative to the other circular edge. The mathematical structure of the associated complex-valued boundary eigenvalue problem is revealed by using the method of matched asymptotic expansions. Our key result is a three-term asymptotic formula for the critical load in terms of a suitable small parameter proportional to the ratio between the thickness and the radius of the shell. Comparisons of this formula with direct numerical simulations provide further insight into the range of validity of the results derived herein.

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Torsional buckling of spherical shells under circumferential shear loads

Cited by 3 publications

References 5 publications

Thermal stress analysis in a hemispherical shell made of transversely isotropic materials under pressure and thermo‐mechanical loads

Thermal stress analysis in a hemispherical shell made of transversely isotropic materials under pressure and thermo‐mechanical loads

Elastoplastic buckling and collapse of spherical shells under combined loadings

Singular Perturbations and Torsional Wrinkling in a Truncated Hemispherical Thin Elastic Shell

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