Construction of J-R curves using the common and concise formats

J. R. Donoso; J. Zahr; J. D. Landes

doi:10.1520/stp11503s

Construction of J-R curves using the common and concise formats

J. R. Donoso, J. Zahr, J. D. Landes

Research output: Contribution to journal › Conference article › peer-review

7 Scopus citations

Abstract

A new method for constructing J-R curves is presented, which directly generates the J-Δa relation in a closed, analytical form. This new method makes use of the Concise Format and the Common Format, both developed by Donoso and Landes. These formats relate load, P, to ligament length, b, and displacement - in the elastic and in the plastic deformation ranges, respectively - and have proved useful in calculations in fracture mechanics. Key to the method is the postulate of a "crack growth law" - a power-law relation between crack extension, Δa, and plastic displacement -used to express J_pl in terms of material properties, size parameters, and crack extension, giving rise to a J_pl-Δa analytical expression, similar to the power law J = C₁(Δa)^C2 suggested in ASTM Standard Test Method for Measurement of Fracture Toughness (E 1820). A few examples are included to show the use of the method, and comparisons are made with J-Δa curves calculated as per ASTM E 1820.

Original language	English
Pages (from-to)	323-339
Number of pages	17
Journal	ASTM Special Technical Publication
Issue number	1461
DOIs	https://doi.org/10.1520/stp11503s
State	Published - 2005
Externally published	Yes
Event	34th National Symposium on Fatigue and Fracture Mechanics - Tampa, FL, United States Duration: 19 Nov 2003 → 21 Nov 2003

Keywords

Common format
Concise format
Ductile fracture methodology
Fracture toughness
J-R curves
Test evaluation

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10.1520/stp11503s

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title = "Construction of J-R curves using the common and concise formats",

abstract = "A new method for constructing J-R curves is presented, which directly generates the J-Δa relation in a closed, analytical form. This new method makes use of the Concise Format and the Common Format, both developed by Donoso and Landes. These formats relate load, P, to ligament length, b, and displacement - in the elastic and in the plastic deformation ranges, respectively - and have proved useful in calculations in fracture mechanics. Key to the method is the postulate of a {"}crack growth law{"} - a power-law relation between crack extension, Δa, and plastic displacement -used to express Jpl in terms of material properties, size parameters, and crack extension, giving rise to a Jpl-Δa analytical expression, similar to the power law J = C1(Δa)C2 suggested in ASTM Standard Test Method for Measurement of Fracture Toughness (E 1820). A few examples are included to show the use of the method, and comparisons are made with J-Δa curves calculated as per ASTM E 1820.",

keywords = "Common format, Concise format, Ductile fracture methodology, Fracture toughness, J-R curves, Test evaluation",

author = "Donoso, {J. R.} and J. Zahr and Landes, {J. D.}",

year = "2005",

doi = "10.1520/stp11503s",

language = "English",

pages = "323--339",

journal = "ASTM Special Technical Publication",

issn = "0066-0558",

number = "1461",

note = "34th National Symposium on Fatigue and Fracture Mechanics ; Conference date: 19-11-2003 Through 21-11-2003",

}

TY - JOUR

T1 - Construction of J-R curves using the common and concise formats

AU - Donoso, J. R.

AU - Zahr, J.

AU - Landes, J. D.

PY - 2005

Y1 - 2005

N2 - A new method for constructing J-R curves is presented, which directly generates the J-Δa relation in a closed, analytical form. This new method makes use of the Concise Format and the Common Format, both developed by Donoso and Landes. These formats relate load, P, to ligament length, b, and displacement - in the elastic and in the plastic deformation ranges, respectively - and have proved useful in calculations in fracture mechanics. Key to the method is the postulate of a "crack growth law" - a power-law relation between crack extension, Δa, and plastic displacement -used to express Jpl in terms of material properties, size parameters, and crack extension, giving rise to a Jpl-Δa analytical expression, similar to the power law J = C1(Δa)C2 suggested in ASTM Standard Test Method for Measurement of Fracture Toughness (E 1820). A few examples are included to show the use of the method, and comparisons are made with J-Δa curves calculated as per ASTM E 1820.

AB - A new method for constructing J-R curves is presented, which directly generates the J-Δa relation in a closed, analytical form. This new method makes use of the Concise Format and the Common Format, both developed by Donoso and Landes. These formats relate load, P, to ligament length, b, and displacement - in the elastic and in the plastic deformation ranges, respectively - and have proved useful in calculations in fracture mechanics. Key to the method is the postulate of a "crack growth law" - a power-law relation between crack extension, Δa, and plastic displacement -used to express Jpl in terms of material properties, size parameters, and crack extension, giving rise to a Jpl-Δa analytical expression, similar to the power law J = C1(Δa)C2 suggested in ASTM Standard Test Method for Measurement of Fracture Toughness (E 1820). A few examples are included to show the use of the method, and comparisons are made with J-Δa curves calculated as per ASTM E 1820.

KW - Common format

KW - Concise format

KW - Ductile fracture methodology

KW - Fracture toughness

KW - J-R curves

KW - Test evaluation

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U2 - 10.1520/stp11503s

DO - 10.1520/stp11503s

M3 - Conference article

AN - SCOPUS:33344472974

SN - 0066-0558

SP - 323

EP - 339

JO - ASTM Special Technical Publication

JF - ASTM Special Technical Publication

IS - 1461

T2 - 34th National Symposium on Fatigue and Fracture Mechanics

Y2 - 19 November 2003 through 21 November 2003

ER -

Construction of J-R curves using the common and concise formats

Abstract

Keywords

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