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Shifrin, E. I.; Brank, Boštjan; Surace, G.

doi:10.1023/a:1007513607635

Cited by 6 publications

(6 citation statements)

References 10 publications

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“…The 3-D interfacial crack problems are very complicated, and no exact solution is available for a point force acting on the crack surface. Recently, Shifrin et al [5] gave an analytical-numerical method for the elliptical/penny-shaped interfacial crack problems. The displacement difference on a penny-shaped interfacial crack surface can be approximated as…”

Section: Solutions Of Auxiliary Problem IImentioning

confidence: 99%

“…with a being the radius of the crack. Using Fourier transform and inverse Fourier transform, Shifrin et al [5] gave the following traction equations…”

Section: Solutions Of Auxiliary Problem IImentioning

confidence: 99%

“…The stress intensity factors can be calculated from i pq B using the following relations [5] ) /( ) cosh( ) 2 1 ))( sin cos sin cos ( sin cos ( 0 0…”

Section: Advanced Materials Research Vols 156-157 281mentioning

confidence: 99%

“…The exact solution of auxiliary problem I has been obtained by Yu and Sandy [4]. The second auxiliary problem is complicated, and we employ an analytical-numerical method developed by Shifrin et al [5] to obtain the displacement difference on the carck surface. The mode I, II and III SIFs are calculated to analyze the interaction of a pre-existing penny-shaped interfacial crack and a center of dilatation.…”

Section: Introductionmentioning

confidence: 99%

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Interaction of a Center of Dilatation and a Penny-Shaped Interfacial Crack in an Infinite Bimaterial

Sun

Bian

Zhu

2010

AMR

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This paper presents a study for the interaction of a penny-shaped interfacial crack and a center of dilatation in an infinite bimaterial, which can model the rock fracture subjected to stress and thermal dilatation during some engineering process. The solution is obtained by decomposing the original problem into two auxiliary problems: (I) a center of dilatation near a bimaterial interface (no crack); and (II) a penny-shaped interfacial crack subject to internal tractions that cancel out those induced in auxiliary problem (I). The mode I, II and III stress intensity factors (SIFs) are calculated to investigate the possible propagation of the pre-existing penny-shaped interfacial crack. The convergence of the developed numerical method is checked, and the interaction of a penny-shaped interfacial crack and a center of dilatation are calculated and discussed.

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Section: Solutions Of Auxiliary Problem IImentioning

confidence: 99%

“…with a being the radius of the crack. Using Fourier transform and inverse Fourier transform, Shifrin et al [5] gave the following traction equations…”

Section: Solutions Of Auxiliary Problem IImentioning

confidence: 99%

“…The stress intensity factors can be calculated from i pq B using the following relations [5] ) /( ) cosh( ) 2 1 ))( sin cos sin cos ( sin cos ( 0 0…”

Section: Advanced Materials Research Vols 156-157 281mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Interaction of a Center of Dilatation and a Penny-Shaped Interfacial Crack in an Infinite Bimaterial

Sun

Bian

Zhu

2010

AMR

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show abstract

“…The exact solution of auxiliary problem I have been obtained by Yu and Sandy [3]. The auxiliary problem II is complicated, and we employ an analytical-numerical method developed by Shifrin et al [4] to obtain the displacement difference on the crack surface, which gives the SIFs in Laplace space, and the time-dependent SIFs are obtained with Schapery's direct methods [5].…”

Section: Introductionmentioning

confidence: 99%

Three-Dimensional Viscoelastic Interactions of a Center of Dilatation with a Penny-Shaped Interfacial Crack

Sun

Bian

Zhang

2011

AMM

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This paper presents a three-dimensional viscoelastic model to study the interactions of a penny-shaped interfacial crack and a center of dilatation in the infinite viscoelastic bimaterial, which can model the rock fracture subjected to stress and thermal dilatation during some engineering process. A distinct issue associated with the present work is the incorporation of viscoelastic behavior of bimaterial. The proposed problem is first transformed into the Laplace space, and the solution in the transform space is obtained by decomposing the original problem into two auxiliary problems: (I) a center of dilatation near a bimaterial interface (no crack); and (II) a penny-shaped interfacial crack subject to internal tractions that cancel out those induced in auxiliary problem (I). The mode I, II and III stress intensity factors (SIFs) in the time domain are obtained with the inverse Laplace transform.

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Center of Dilatation and Penny-Shaped Crack in Viscoelastic Bimaterial

Chau

Wong

Fracture of Nano and Engineering Materials and Structures

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Untitled

Cited by 6 publications

References 10 publications

Interaction of a Center of Dilatation and a Penny-Shaped Interfacial Crack in an Infinite Bimaterial

Interaction of a Center of Dilatation and a Penny-Shaped Interfacial Crack in an Infinite Bimaterial

Three-Dimensional Viscoelastic Interactions of a Center of Dilatation with a Penny-Shaped Interfacial Crack

Center of Dilatation and Penny-Shaped Crack in Viscoelastic Bimaterial

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