Stresses about a circular hole in a cylindrical shell

Dyke, Peter Van

doi:10.2514/6.1965-140

Cited by 15 publications

(11 citation statements)

References 3 publications

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“…Substantial analytical work has been conducted on the stress analysis of cylindrical sections with a circular hole for obtaining stress concentration effects [35,36]. Most of this analytical work has been based on shallow thin shell theory and/or plane strain analysis, without considering any soil embedment effect.…”

Section: 2mentioning

confidence: 99%

“…Most of this analytical work has been based on shallow thin shell theory and/or plane strain analysis, without considering any soil embedment effect. Figure 5 shows the stress concentration factors suggested by [35] for cylindrical shells with internal water pressure (considering membrane and bending effects). The results obtained from 3-D FE analyses are also shown in comparison with different pipe sizes and corrosion geometries.…”

Section: 2mentioning

confidence: 99%

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Probabilistic physical modelling of corroded cast iron pipes for lifetime prediction

Robert

Zhang

et al. 2017

Structural Safety

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Cast iron was the dominant material for buried pipes for water networks prior to the 1970s in Australia and overseas. At present, many water utilities still have a significant amount of ageing cast iron pipes. Cast iron is a brittle material and when large diameter cast iron pipes (diameters above 300mm) further deteriorate, the consequences of failure can be substantial. Focusing on the likelihood of failure to assist risk assessment, this paper examines the performance of large-diameter cast iron pipes using probabilistic analysis, incorporating uncertainties of governing variables. Finite element analysis is first conducted to study the physical mechanism of buried pipes subjected to complex environmental conditions. The deterioration of cast iron pipes due to corrosion is considered on the basis of recent research. The uncertainties of governing variables, such as the physical properties of soil, cast iron, water pressure and corrosion patterns, in pipe failure risk assessment are considered. Using probabilistic physical modelling, the lifetime probability of failure is derived and a time-dependent sensitivity analysis is presented. The results of this probabilistic physical modelling are compared with cohorts of failure data from two Australian water utilities to examine the underlying trends from both physical modelling and statistical analysis.

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Section: 2mentioning

confidence: 99%

Section: 2mentioning

confidence: 99%

Probabilistic physical modelling of corroded cast iron pipes for lifetime prediction

Robert

Zhang

et al. 2017

Structural Safety

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“…Naghdi and Eringen [7] solve the problem by assuming flat plate behavior in the region of interest, so that the solution is restricted to small openings. A similar restriction also limits the applicability of solutions of Savin and Guz [8], Lure [9], and, more recently, Van Dyke [10]. Recently, an extensive series solution for an elliptical hole in a cylindrical shell has been used by Rao and Ariman [11].…”

Section: Introductionmentioning

confidence: 99%

Asymptotic solutions for shells with general boundary curves

Logan¹

1973

Quart. Appl. Math.

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Abstract.The influence of arbitrary edge loads on the stresses and deformations of thin, elastic shells with general boundaries is studied by means of asymptotic expansions of a general tensor equation. Expansions are made in terms of an exponential or an Airy function and a series in powers of a small-thickness parameter. Most of the steps in the procedure are effected by using the dyadic form of the tensors. Solutions are obtained that are valid in the large, with no restrictions on the loading or on the boundary geometry.Results indicate that the behavior of shells with arbitrary boundary geometry can be quite different from that in the ordinary case. Specific results show the presence of an interior caustic which is the envelope of the characteristics of an eiconal equation. The exponential expansion becomes singular at the caustic, which would generally be expected to be a local region of stress concentration.The results have a close identity with asymptotic solutions obtained in geometric optics. Following some new techniques used for solution of the reduced wave equation, a solution of the shell equation is obtained using an asymptotic expansion in terms of Airy functions which provides a solution that is uniformly valid in the neighborhood of the caustic. Introduction.The primary purpose of this study is to investigate the influence of general edge loads on the stresses and deformations of thin elastic shells. The shell equations were cast into a single, compact dyadic form by Steele [1] that will be used here without development. Some details of that derivation and additional algebraic details of equations developed in this paper are given in [2], The type of solution sought is a generalization of the well-known solution, with a decaying behavior from the shell boundary into the shell interior, commonly referred to as an edge-effect solution.Analytic solutions available in the literature are applicable only to shells with restricted boundaries and loading conditions, or are valid only close to the boundary. Certainly the most widely used edge-effect solution is that for the axisymmetricallyloaded circular cylinder with a boundary on a circumferential line of curvature, and that result may be obtained as a special case of our general solution.Perhaps the best known solution for a shell with an arbitrary boundary is that of Goldenveizer [3]. However, that solution involves a basic assumption that restricts the region of applicability of the solution to a small boundary layer near the shell edge.

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“…Dr. Starnes was an internationally recognized expert in aerospace structures technology and a proponent of the development of special-purpose, design-oriented analysis methods such as that presented herein. analytical studies were presented by [Lekkerkerker 1966;Van Dyke 1965;Ashmarin 1966;Murthy et al 1974;Guz et al 2001;Van Tooren et al 2002] that further investigated the effects of various factors on the stress concentrations around a cutout in a cylindrical shell. Similarly, experimental investigations have been conducted by [Tennyson 1968;Starnes 1972;Pierce and Chou 1973;Zirka and Chernopiskii 2003;Bull 1982], and numerical studies have been conducted by [Liang et al 1998;Shnerenko and Godzula 2003;Storozhuk and Chernyshenko 2005].…”

Section: Introductionmentioning

confidence: 99%

Stress analysis of composite cylindrical shells with an elliptical cutout

Öterkuş

Madenci

Nemeth

2007

JOMMS

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A special-purpose, semianalytical solution method for determining the stress and deformation fields in a thin, laminated-composite cylindrical shell with an elliptical cutout is presented. The analysis includes the effects of cutout size, shape, and orientation; nonuniform wall thickness; oval cross-sectional eccentricity; and loading conditions. The loading conditions include uniform tension, uniform torsion, and pure bending. The analysis approach is based on the principle of stationary potential energy and uses Lagrange multipliers to relax the kinematic admissibility requirements on the displacement representations through the use of idealized elastic edge restraints. Specifying appropriate stiffness values for the elastic extensional and rotational edge restraints (springs) allows the imposition of the kinematic boundary conditions in an indirect manner, which enables the use of a broader set of functions for representing the displacement fields. Selected results of parametric studies are presented for several geometric parameters that demonstrate that this analysis approach is a powerful means for developing design criteria for laminated-composite shells.

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Stresses about a circular hole in a cylindrical shell

Cited by 15 publications

References 3 publications

Probabilistic physical modelling of corroded cast iron pipes for lifetime prediction

Probabilistic physical modelling of corroded cast iron pipes for lifetime prediction

Asymptotic solutions for shells with general boundary curves

Stress analysis of composite cylindrical shells with an elliptical cutout

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