Crack problems in cylindrical and spherical shells

Erdogan, F.

doi:10.1007/978-94-010-1292-8_5

Cited by 13 publications

(8 citation statements)

References 19 publications

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“…1 and 2 show some sample results for the out-of-plane displacement w(+0, y) calculated on the neutral surface along the line of the crack. The trend seems to be quite similar to the bulging results obtained for the axially cracked shell [11]. It should be emphasized that in these numerical calculations the crack surface membrane stress is compressive and the bending moment is applied in such a way that the outer layer of the shell on the crack surface is again compressive.…”

Section: Kpj Isupporting

confidence: 84%

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Transverse shear effect in a circumferentially cracked cylindrical shell

Delale

1979

Quart. Appl. Math.

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Abstract.The problem of a cylindrical shell containing a circumferential through crack is considered by taking into account the effect of transverse shear deformations. The formulation is given for a specially orthotropic material within the confines of a linearized shallow shell theory. The particular theory used permits the consideration of all five boundary conditions regarding moment and stress resultants on the crack surface. The stress intensity factors are calculated separately for a cylinder under a uniform membrane load, and that under a uniform bending moment for values of 0 < \2 = [12(1 -^)]'/4. a(Rh)'/2 < 10 and 0 < a/h < 10, where 2a, h, and R are, respectively, the crack length, the thickness, and the (mean) radius of the cylinder. Sample results showing the nature of the out-of-plane crack surface displacement and the effect of the Poisson's ratio are also presented.

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Section: Kpj Isupporting

confidence: 84%

“…However, as shown in [10] and [11] for the classical shell theory, in this case too it can be shown that the related differential equations of the orthotropic shells can be factorized and reduced to the equations of isotropic shells if one assumes the material to be "specially orthotropic".…”

Section: Formulation Of the Problemmentioning

confidence: 98%

Transverse shear effect in a circumferentially cracked cylindrical shell

Delale

1979

Quart. Appl. Math.

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“…This was shown to be the case for the classical shell results (see, for example, the review article [7]). Recent studies using a Reissner-type shell theory [8J, [9] shows that similar agreement is also obtained between shell results and those given by the plane elasticity and a sixth order plate bending theory [10]- [13].…”

Section: Introductionmentioning

confidence: 63%

A cylindrical shell with an arbitrarily oriented crack

Yahşi

1983

International Journal of Solids and Structures

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In this paper the general problem of a shallow shell with constant curvatures is considered. It is assumed that the shell contains an arbitrarily oriented through crack and the material is specially orthotropic. The nonsymmetric problem is solved for arbitrary self-equilibrating crack surface tractions, which, added to an appropriate solution for an uncracked shell, would give the result for a cracked shell under most general loading conditions. The problem is reduced to a system of five singular integral equations in a set of unknown functions representing relative displacements and rotations on the crack surfaces. The stress state around the crack tip is asymptotically analyzed and it is shown that the results are identical to those obtained from the two-dimensional in-plane and anti-plane elasticity solutions. The numerical results are given for a cylindrical shell containing an arbitrarily oriented through crack. Some sample results showing the effect of the Poisson's ratio and the material orthotropy are also presented.

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“…The reason for this example [1][2][3][4][5][6][7], and for review and references [8]). The shortcomings of the classical shell theory are well-known from the plate and shell solutions.…”

Section: Introductionmentioning

confidence: 99%

Cracked shells under skew-symmetric loading

Delale

1982

International Journal of Engineering Science

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Crack problems in cylindrical and spherical shells

Cited by 13 publications

References 19 publications

Transverse shear effect in a circumferentially cracked cylindrical shell

Transverse shear effect in a circumferentially cracked cylindrical shell

A cylindrical shell with an arbitrarily oriented crack

Cracked shells under skew-symmetric loading

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