A cylindrical shell with an arbitrarily oriented crack

Yahşi, O. Selçuk

doi:10.1016/0020-7683(83)90022-7

Cited by 12 publications

(2 citation statements)

References 10 publications

(9 reference statements)

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“…The results of [16] can also be stated in terms of the J-integral since it can be shown that J = I. Simmonds and Duva propose that the value of I be used as the loading parameter to characterize fracture. Energy release rate calculations based on the Reissner theory stress fields and using the crack extension method are discussed in [18,19].…”

Section: Introductionmentioning

confidence: 99%

A theory for the fracture of thin plates subjected to bending and twisting moments

Hui

Zehnder

1993

Int J Fract

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Stress fields near the tip of a through crack in an elastic plate under bending and twisting moments are reviewed assuming both Kirchhoff and Reissner plate theories. The crack tip displacement and rotation fields based on the Reissner theory are calculated here for the first time. These results are used to calculate the J-integral (energy release rate) for both Kirchhoff and Reissner plate theories. Invoking Simmonds and Duva's [16] result that the value of the J-integral based on either theory is the same for thin plates, a universal relationship between the Kirchhoff theory stress intensity factors and the Reissner theory stress intensity factors is obtained for thin plates. Calculation of Kirchhoff theory stress intensity factors from finite elements based on energy release rate is illustrated. A small scale yielding like model of the crack tip fields is discussed, where the Kirchhoff theory fields are considered to be the far field conditions for the Reissner theory fields. It is proposed that, for thin plates, fracture toughness and crack growth rates be correlated with the Kirchhoff theory stress intensity factors.

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Section: Introductionmentioning

confidence: 99%

A theory for the fracture of thin plates subjected to bending and twisting moments

Hui

Zehnder

1993

Int J Fract

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“…However, crack closure behavior for orthotropic materials has never been considered in any previous research. Yahsi and Erdogan[103] also studied a specially orthotropic cylindrical shell containing an arbitrarily oriented crack. It was assumed that the axes o f material orthotropy coincided with the crack plane but not the axis o f the cylinder.…”

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confidence: 99%

Fracture mechanics analyses of partial crack closure in shell structures

Zhao¹

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Library and Archives Canada Bibliotheque et Archives Canada Published Heritage Branch 395 W ellington Street Ottawa ON K1A 0N4 CanadaY our file Votre referen ce ISBN: 9 7 8 -0 -4 9 4 -3 3 5 1 8 -5 O ur file N otre referen ce ISBN: 9 7 8 -0 -4 9 4 -3 3 5 1 8 -5 ABSTRACT This thesis presents the theoretical and finite element analyses o f crack-face closure behavior in shells and its effect on the stress intensity factor under a bending load condition. Various shell geometries, such as spherical shell, cylindrical shell containing an axial crack, cylindrical shell containing a circumferential crack and shell with double curvatures, are all studied. In addition, the influence o f material orthotropy on the crack closure effect in shells is also considered. The theoretical formulation is developed based on the shallow shell theory o f Delale and Erdogan, incorporating the effect o f crack-face closure at the compressive edges. The line-contact assumption, simulating the crack-face closure at the compressive edges, is employed so that the contact force at the closure edges is introduced, which can be translated to the mid-plane o f the shell, accompanied by an additional distributed bending moment. The unknown contact force is computed by solving a mixed-boundary value problem iteratively, that is, along the crack length, either the normal displacement o f the crack face at the compressive edges is equal to zero or the contact pressure is equal to zero. It is found that due to the curvature effects crack closure may not always occur on the entire length o f the crack, depending on the direction o f the bending load and the geometry o f the shell. The crack-face closure influences significantly the magnitude o f the stress intensity factors; it increases the membrane component but decreases the bending component. The maximum stress intensity factor is reduced by the crack-face closure. The significant influence o f geometry and material orthotropy on rack closure behavior in shells is also predicted based on the analytical solutions.iii Reproduced with permission of the copyright owner. Further reproduction prohibited without permission.Three-dimensional FEA is performed to validate the theoretical solutions. It demonstrates that the crack face closure occurs actually over an area, not on a line, but the theoretical solutions o f the stress intensity factor and the FEA solutions are in good agreement, because the contact area is very small compared with the shell thickness.iv Reproduced with permission of the copyright owner. Further reproduction prohibited without permission.

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A cylindrical shell with an arbitrarily oriented crack

Cited by 12 publications

References 10 publications

A theory for the fracture of thin plates subjected to bending and twisting moments

A theory for the fracture of thin plates subjected to bending and twisting moments

Fracture mechanics analyses of partial crack closure in shell structures

A pressurized cylindrical shell with a fixed end which contains an axial part-through or through crack

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