Improved quarter-point crack tip element

L. J. Gray; A. V. Phan; Glaucio H. Paulino; T. Kaplan

doi:10.1016/S0013-7944(02)00027-9

Improved quarter-point crack tip element

L. J. Gray, A. V. Phan, Glaucio H. Paulino, T. Kaplan

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

76 Scopus citations

Abstract

We present a modification to the quarter-point crack tip element and employ this element in two-dimensional boundary integral fracture analysis. The standard singular element is adjusted so that the near-tip crack opening displacement satisfies a known constraint: the coefficient of the term which is linear in the distance to the tip must vanish. Stress intensity factors calculated with the displacement correlation technique are shown to be highly accurate, and significantly more accurate than with the standard element. The improvements are especially dramatic for mixed-mode problems involving curved and interacting cracks.

Original language	English (US)
Pages (from-to)	269-283
Number of pages	15
Journal	Engineering Fracture Mechanics
Volume	70
Issue number	2
DOIs	https://doi.org/10.1016/S0013-7944(02)00027-9
State	Published - Jan 2003
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Materials Science
Mechanics of Materials
Mechanical Engineering

Keywords

Boundary integral analysis
Fracture mechanics
Quarter-point element
Stress intensity factors

Access to Document

10.1016/S0013-7944(02)00027-9

Cite this

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title = "Improved quarter-point crack tip element",

abstract = "We present a modification to the quarter-point crack tip element and employ this element in two-dimensional boundary integral fracture analysis. The standard singular element is adjusted so that the near-tip crack opening displacement satisfies a known constraint: the coefficient of the term which is linear in the distance to the tip must vanish. Stress intensity factors calculated with the displacement correlation technique are shown to be highly accurate, and significantly more accurate than with the standard element. The improvements are especially dramatic for mixed-mode problems involving curved and interacting cracks.",

keywords = "Boundary integral analysis, Fracture mechanics, Quarter-point element, Stress intensity factors",

author = "Gray, {L. J.} and Phan, {A. V.} and Paulino, {Glaucio H.} and T. Kaplan",

note = "Funding Information: This research was supported in part by the Applied Mathematical Sciences Research Program of the Office of Mathematical, Information, and Computational Sciences, US Department of Energy under contract DE-AC05-00OR22725 with UT-Battelle, LLC. Additional support was provided by the Laboratory Directed Research and Development Program of the Oak Ridge National Laboratory. G.H. Paulino acknowledges the support from the National Science Foundation under grant CMS-9713008 (Mechanics and Materials Program). ",

year = "2003",

month = jan,

doi = "10.1016/S0013-7944(02)00027-9",

language = "English (US)",

volume = "70",

pages = "269--283",

journal = "Engineering Fracture Mechanics",

issn = "0013-7944",

publisher = "Elsevier BV",

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TY - JOUR

T1 - Improved quarter-point crack tip element

AU - Gray, L. J.

AU - Phan, A. V.

AU - Paulino, Glaucio H.

AU - Kaplan, T.

N1 - Funding Information: This research was supported in part by the Applied Mathematical Sciences Research Program of the Office of Mathematical, Information, and Computational Sciences, US Department of Energy under contract DE-AC05-00OR22725 with UT-Battelle, LLC. Additional support was provided by the Laboratory Directed Research and Development Program of the Oak Ridge National Laboratory. G.H. Paulino acknowledges the support from the National Science Foundation under grant CMS-9713008 (Mechanics and Materials Program).

PY - 2003/1

Y1 - 2003/1

N2 - We present a modification to the quarter-point crack tip element and employ this element in two-dimensional boundary integral fracture analysis. The standard singular element is adjusted so that the near-tip crack opening displacement satisfies a known constraint: the coefficient of the term which is linear in the distance to the tip must vanish. Stress intensity factors calculated with the displacement correlation technique are shown to be highly accurate, and significantly more accurate than with the standard element. The improvements are especially dramatic for mixed-mode problems involving curved and interacting cracks.

AB - We present a modification to the quarter-point crack tip element and employ this element in two-dimensional boundary integral fracture analysis. The standard singular element is adjusted so that the near-tip crack opening displacement satisfies a known constraint: the coefficient of the term which is linear in the distance to the tip must vanish. Stress intensity factors calculated with the displacement correlation technique are shown to be highly accurate, and significantly more accurate than with the standard element. The improvements are especially dramatic for mixed-mode problems involving curved and interacting cracks.

KW - Boundary integral analysis

KW - Fracture mechanics

KW - Quarter-point element

KW - Stress intensity factors

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DO - 10.1016/S0013-7944(02)00027-9

M3 - Article

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SN - 0013-7944

VL - 70

SP - 269

EP - 283

JO - Engineering Fracture Mechanics

JF - Engineering Fracture Mechanics

IS - 2

ER -

Improved quarter-point crack tip element

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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