Inherent stress biaxiality in various fracture specimen geometries

Leevers, P. S.; Radon, J.C.

doi:10.1007/bf00012486

Cited by 362 publications

(148 citation statements)

References 16 publications

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“…As seen in Table 2 The equation used to calculate the T stress was that given by Leevers and Radon [16] with K_= being used in all cases. The T stress showed some variation; the largest values being for the specimens tested at the high R values.…”

Section: Resultsmentioning

confidence: 99%

A Size Effect on the Fatigue Crack Growth Rate Threshold of Alloy 718

Garr

Hresko

2000

Fatigue Crack Growth Thresholds, Endurance Limits, and Design

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Section: Resultsmentioning

confidence: 99%

A Size Effect on the Fatigue Crack Growth Rate Threshold of Alloy 718

Garr

Hresko

2000

Fatigue Crack Growth Thresholds, Endurance Limits, and Design

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“…Different analytical and numerical methods including the higher-order weight function [246], the Green's function [247], the stress difference [248] and the FEA calculation [249,250] were developed to determine the T-stress for a variety of fracture specimens and geometries. In reference to the T-stress and K-factor, Leevers and Radon [251] introduced a biaxiality ratio parameter, B ¼ T ffiffiffiffiffiffi pa p =K I , that is widely used. For example, a through-thickness crack in an infinite plate subjected to a remote tensile stress r has the biaxiality ratio of B = T/r = À1, and thus the remote stress r induces a compressive T-stress equal in magnitude to the remote tensile stress in the direction parallel to the crack plane in the plate.…”

Section: The J-t Approachmentioning

confidence: 99%

Review of fracture toughness (G, K, J, CTOD, CTOA) testing and standardization

Zhu

Joyce

2012

Engineering Fracture Mechanics

607

126

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Stress intensity factor Energy release rate CTOD CTOA J-integral J-R curve K-R curve ASTM standard a b s t r a c tThe present paper gives a technical review of fracture toughness testing, evaluation and standardization for metallic materials in terms of the linear elastic fracture mechanics as well as the elastic-plastic fracture mechanics. This includes the early investigations and recent advances of fracture toughness test methods and practices developed by American Society for Testing and Materials (ASTM). The review describes the most important fracture mechanics parameters: the elastic energy release rate G, the stress intensity factor K, the Jintegral, the crack-tip opening displacement (CTOD) and the crack-tip opening angle (CTOA) from the basic concept, definition, to experimental estimation, test methods and ASTM standardizing practices. Attention is paid to guidelines on how to choose an appropriate fracture parameter to characterize fracture toughness for the material of interest, and how to measure the fracture toughness value defined either at a critical point or in a resistance curve format using laboratory specimens. The relevant ASTM fracture toughness test standards considered in this paper are E399 for K Ic testing, E561 for K-R curve testing, E813 for J Ic testing, E1152 for J-R curve testing, E1737 for J Ic and J-R curve testing, E1290 for CTOD (d) testing, a combined common test standard E1820 for measuring the three parameters of K, J and d, E1921 for the transition reference temperature T 0 testing and the master curve of cleavage toughness K Jc testing, and E2472 for CTOA testing. The effects of loading rate, temperature and crack-tip constraint on fracture toughness as well as fracture instability analysis are also reviewed.

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“…Specimens having a positive T-stress have a higher constraint than those with a negative T-stress. The T-stress is proportional to the remote applied stress [4] and the constant of proportionality changes for different loading and boundary conditions. For example, for a centre-crack in an infinite plate under uniaxial tension, the T-stress at the crack tip equals 2s app where s app is the remote applied stress [4].…”

Section: Introductionmentioning

confidence: 99%

T-stress determination using thermoelastic stress analysis

Zanganeh

Tomlinson

Yates

2008

The Journal of Strain Analysis for Engineering Design

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T-stress and mixed-mode stress intensity factors have been determined experimentally using thermoelastic stress analysis and using a finite element method. Pure mode I, strong mixed-mode I and II, and interacting cracks have been used as the case studies. A new technique has been proposed to identify the crack tip from thermoelastic images. It has also been shown that using three terms of Williams's stress field formulation to determine the Tstress, yields a more accurate solution than using only the first two terms of the expansion.

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Inherent stress biaxiality in various fracture specimen geometries

Cited by 362 publications

References 16 publications

A Size Effect on the Fatigue Crack Growth Rate Threshold of Alloy 718

A Size Effect on the Fatigue Crack Growth Rate Threshold of Alloy 718

Review of fracture toughness (G, K, J, CTOD, CTOA) testing and standardization

T-stress determination using thermoelastic stress analysis

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