A direct method for solving crack growth problems-I

X. Li; L. M. Keer

doi:10.1016/0020-7683(92)90115-A

A direct method for solving crack growth problems-I

X. Li^*, L. M. Keer

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

Based on the boundary element equation approach for crack opening displacements, an equation of the perturbation type is derived giving an explicit relation between the crack front variation and the resulting variation in the stress intensity factor. By using this equation, the crack front advance can be predicted at each step of crack growth while ensuring that the fracture criterion is satisfied for the new crack geometry. As an example, the problem of the growth under a Dugdaletype model for cracks of elliptical and circular shapes with uniform and linear variation of tensile loads is solved and the numerical results are discussed.

Original language	English (US)
Pages (from-to)	2735-2747
Number of pages	13
Journal	International Journal of Solids and Structures
Volume	29
Issue number	22
DOIs	https://doi.org/10.1016/0020-7683(92)90115-A
State	Published - 1992
Externally published	Yes

Funding

Acknowledgements---The authors gratefully acknowledge support from Amoco Production Company and helpful conversations with Z. A. Moschovidis and R. W. Veatch. Support is also acknowledged from the Air Force Office of Scientific Research.

ASJC Scopus subject areas

Modeling and Simulation
General Materials Science
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Applied Mathematics

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10.1016/0020-7683(92)90115-A

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title = "A direct method for solving crack growth problems-I",

abstract = "Based on the boundary element equation approach for crack opening displacements, an equation of the perturbation type is derived giving an explicit relation between the crack front variation and the resulting variation in the stress intensity factor. By using this equation, the crack front advance can be predicted at each step of crack growth while ensuring that the fracture criterion is satisfied for the new crack geometry. As an example, the problem of the growth under a Dugdaletype model for cracks of elliptical and circular shapes with uniform and linear variation of tensile loads is solved and the numerical results are discussed.",

author = "X. Li and Keer, {L. M.}",

note = "Funding Information: Acknowledgements---The authors gratefully acknowledge support from Amoco Production Company and helpful conversations with Z. A. Moschovidis and R. W. Veatch. Support is also acknowledged from the Air Force Office of Scientific Research.",

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PY - 1992

Y1 - 1992

N2 - Based on the boundary element equation approach for crack opening displacements, an equation of the perturbation type is derived giving an explicit relation between the crack front variation and the resulting variation in the stress intensity factor. By using this equation, the crack front advance can be predicted at each step of crack growth while ensuring that the fracture criterion is satisfied for the new crack geometry. As an example, the problem of the growth under a Dugdaletype model for cracks of elliptical and circular shapes with uniform and linear variation of tensile loads is solved and the numerical results are discussed.

AB - Based on the boundary element equation approach for crack opening displacements, an equation of the perturbation type is derived giving an explicit relation between the crack front variation and the resulting variation in the stress intensity factor. By using this equation, the crack front advance can be predicted at each step of crack growth while ensuring that the fracture criterion is satisfied for the new crack geometry. As an example, the problem of the growth under a Dugdaletype model for cracks of elliptical and circular shapes with uniform and linear variation of tensile loads is solved and the numerical results are discussed.

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ER -

A direct method for solving crack growth problems-I

Abstract

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ASJC Scopus subject areas

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