Crack originating from a corner of a square hole

Hasebe, Norio; Ueda, Mikito

doi:10.1016/0013-7944(80)90021-1

Cited by 48 publications

(31 citation statements)

References 7 publications

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“…The complex stress function q)(f) is given in (2) by using the mapping function (1) when the rigid inclusion rotates counterclockwise by an angle e. When the inclusion is rotated under a couple moment M r, ~( f ) is given by eliminating e in (2) by using (6). If the stress free boundary exists, @(f) is given by (4).…”

Section: Resultsmentioning

confidence: 99%

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A debonding and a crack on a circular rigid inclusion subjected to rotation

1987

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A model of debonding and crack occurring from a circular rigid inclusion in an infinite plate is analyzed under the loading condition of the inclusion rotation. A mapping function of a sum of fractional expressions and complex stress functions are used for the analysis of the mixed boundary value problem of the plane elasticity. The following values are obtained: values of stress singularity at the debonded tip where only a debonding exists i.e. without a crack; stress intensity factors just after the occurrence of a crack; and the energy release rates for the debonding propagation and the crack occurrence. Furthermore we discuss which phenomenon occurs, the debonding propagation or the crack occurrence at the debonded tip. We also discuss from which tip the debonding propagation occurs.

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Section: Resultsmentioning

confidence: 99%

“…1). This mapping function is represented as a rational function of a sum of fractional expressions [1,6], The boundaries are named as follows: L designates the part where the external forces are given, M the part where the displacements are given, and F = L + M the contour.…”

Section: Mapping Function and Methods Of Analysismentioning

confidence: 99%

A debonding and a crack on a circular rigid inclusion subjected to rotation

1987

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“…1 shows the debonded position. Equation (1) is an irrational function, so a rational mapping function is formulated from (1) as a sum of fractional expressions [11,12]. The irrational terms in (1) are replaced by the following fractional expressions:…”

Section: Mapping Functionmentioning

confidence: 99%

Stress analysis of a debonding and a crack around a circular rigid inclusion

1986

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A model of a debonding and a crack occurring from a circular rigid inclusion in an infinite plate is analyzed as a mixed boundary value problem under uniform tension. A mapping function represented in the form of a sum of fractional expressions and complex stress functions are used. The stress distribution, stress intensity factors at the tip of a crack, and stress singular values at a debonded tip are presented. By using these stress singular values, the intensity of the debonded tip is also considered.

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“…Elvin B. Shields [3] developed the new techniques for solving fracture problems involving multiple cracks using different computer models by FEM. Hasebe N. and Ueda N [4] used FEM solution for calculating the SIFs of the crack problem with oriented square holes. Yan X.…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of an Edge Crack Problem With Hole of Various Shapes and Sizes Using Meshless Method

2016

Arimpie - 2016

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Crack originating from a corner of a square hole

Cited by 48 publications

References 7 publications

A debonding and a crack on a circular rigid inclusion subjected to rotation

A debonding and a crack on a circular rigid inclusion subjected to rotation

Stress analysis of a debonding and a crack around a circular rigid inclusion

Numerical Simulation of an Edge Crack Problem With Hole of Various Shapes and Sizes Using Meshless Method

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