Stresses about a circular hole in a cylindrical shell

Dyke, Peter Van

doi:10.2514/3.3234

Cited by 80 publications

(8 citation statements)

References 3 publications

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“…More than that, the linear infinite system for finding coefficients has a linear dependency that classics could not find and because of it had difficulties with solving it. The authors of the present paper thoroughly studied classical works of Naghdi, Eringen, Lekkerkerker, Murthy, Van Dyke etc [2][3][4], found that the problem was abandoned [5] and are ready to present an algorithm for finding stresses based on their own previous works [6][7][8]. The authors proposed an idea by which these coefficients are numerically easy to calculate, but this idea also opened up prospects for their analytical search.…”

Section: Introductionmentioning

confidence: 95%

Finding coefficients in the problem of a cylindrical shell with a circular cutout

Kashtanova

Rzhonsnitskiy

2022

J. Phys.: Conf. Ser.

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In the present paper a cylindrical shell with a circular cutout is considered. There have not yet been explicit formulas for the field of stresses and after reviewing some ideas of the derivation of the solution of this problem, the authors can present how this can be done. A new approach is based on the separation of variables in the basis function by Fourier decomposition and on the proof of reducibility of the system. This way has a strict mathematical foundation, and for the boundary condition in the form of axial tension the limit transition leads for the Kirsch problem, as expected. In this work a finding of coefficients for small parameter is illustrated and the limit transition is shown.

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Section: Introductionmentioning

confidence: 95%

Finding coefficients in the problem of a cylindrical shell with a circular cutout

Kashtanova

Rzhonsnitskiy

2022

J. Phys.: Conf. Ser.

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“…Pioneering analytical work was conducted by Lurie [5,6], to investigate the effect of axial tension and internal pressure, and shell curvature, on the stress concentrations around a circular cutout in the 1940s. Many years later, analytical studies were presented by Lekkerkerker [7], Van Dyke [8], Ashmarin [9], Murthy et. al [10], Guz et.…”

Section: Introductionmentioning

confidence: 99%

An Improved Finite Element Model to Study Stress Concentration Around an Elliptical Cutout in Pressure Vessel: Validation : Part-I

Kumar,

Ramamurthy,

Rao

et al. 2023

joast

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A finite element model to the analysis of thin shell structures with cutouts/inclusions is developed based on shear deformation theory. An eight-noded isoparametric shell element is considered with six degrees of freedom at each node. A convergence study is under taken to arrive at a suitable finite element mesh. The loading conditions include uniform tension, uniform pressure. The finite element results presented in this work are shown to be in good agreement with available analytical and experimental data and the direction for future work is also given.

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“…The first analytical studies were conducted in [5,6] to investigate the effects of axial load and internal pressure, together with the cylinders' curvature, on the stress concentration near circular cut-outs. Subsequently, analytical studies were presented in [7][8][9][10][11][12], which further examined the effect of different loading conditions on the stress concentration in cylindrical structures with various sizes and shape notches. assessment was presented in [13], where the effects of circular holes in cylindrical shells under axial compression were studied.…”

Section: Introductionmentioning

confidence: 99%

A Numerical–Analytical Approach for the Preliminary Design of Thin-Walled Cylindrical Shell Structures with Elliptical Cut-Outs

et al. 2019

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The presence of cut-outs within thin-walled shell structures is unavoidable, holes being needed for the passage of electrical cables, fuel, or just to reduce the weight of the components. Nevertheless, the high stress concentration can lead to a premature collapse of the structure. For this reason, the preliminary design of cylindrical shell structures with holes needs a profound knowledge of the stress distribution for different loading conditions and constraints. In this paper, a parametric study of a fiber-reinforced composite shell cylinder with an elliptical cut-out has been performed. Three different loading conditions were analyzed: Tension, bending, and torsion. Ansys® script, capable of easily generating and analyzing different geometrical configurations, was used to study the dependence of the geometry on the stress distribution near the cut-out. Finally, graphical and analytical relationships were tentatively extrapolated from numerical results, aimed at linking the geometrical parameters of the cut-out to the maximum stress near the cut-out.

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Stresses about a circular hole in a cylindrical shell

Cited by 80 publications

References 3 publications

Finding coefficients in the problem of a cylindrical shell with a circular cutout

Finding coefficients in the problem of a cylindrical shell with a circular cutout

An Improved Finite Element Model to Study Stress Concentration Around an Elliptical Cutout in Pressure Vessel: Validation : Part-I

A Numerical–Analytical Approach for the Preliminary Design of Thin-Walled Cylindrical Shell Structures with Elliptical Cut-Outs

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