Elastic T-stress solutions for semi-elliptical surface cracks in finite thickness plates

Wang, Xin

doi:10.1016/s0013-7944(02)00081-4

Cited by 104 publications

(72 citation statements)

References 21 publications

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“…(75) shows clearly that the second term or T-stress has an effect on the crack-tip field, and if an applied T-stress varies at a constant K, the plastic zone will vary in size and in shape. 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.…”

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

605

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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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

605

126

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“…Through FE-analysis, Betagon and Hancock (1991) have shown that the negative T -stress increases the plastic zone size, while positive one doesn't have significant effect. Since then, the effect of the T -stress on the fracture behavior has been extensively studied (Kang and Beom 2000;Gao and Dodds 2001;Ayatollahi et al 2002;Wang 2003;Zhou and Li 2007). Although the Tstress has no direct effect on the SIF and the J-integral, it affects the shape and size of the plastic zone occurred at crack tip.…”

Section: Applications and Discussionmentioning

confidence: 99%

The shielding effects of the crack-tip plastic zone

Zhu

Yang

et al. 2010

Int J Fract

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In this paper we demonstrate that a plastically deformed zone around a stressed crack tip can be, mechanically, identified with an inclusion of transformation strain by means of Eshelby equivalent inclusion method. Thus, the shielding effect of the plastic zone can be quantitatively evaluated by the present transformation toughening theory. A closed-form solution to determine the change in the stress intensity factor induced by the plastic zone is given both for plane stress and plane strain mode I cracks under small-scale yielding conditions. By using the present solution, the effects of the strain-hardening behavior of the material, the plane stress and plane strain states and the T -stress on the crack-tip shielding effects are identified.

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“…Ayatolahi et al (2002) determined the T -stress by the displacement method in finite element analysis and obtained then a stabilised T -stress distribution along ligament. Wang (2003) has estimated the T -stress from superposition of a crack free specimen and a specimen with crack faces submitted to a pressure distribution. In this paper, the SDM has been employed to calculate the T -stress in a notched body because it is the most simple and widely used.…”

Section: Determination Of the T -Stress And T E F For The Notchmentioning

confidence: 99%

Two-parameter fracture criterion (K ρ,c -T ef,c ) based on notch fracture mechanics

Méliani

Matvienko

Pluvinage³

2010

Int J Fract

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A two-parameter fracture criterion has been proposed to predict fracture conditions of notched components. This criterion includes the critical notch stress intensity factor K ρ,c , which represents fracture toughness of a material with a notch of radius ρ, and the effective T -stress. The effective T -stress T e f has been estimated as the average value of the T -stress distribution in the region ahead of the notch tip at the effective distance X e f . These parameters were derived from the volumetric method of notch fracture mechanics. The results of numerical T e f,c -stress estimation are compared to the T e f,c -stress results obtained from experimental analysis. The material failure curve or master curve K ρ,c = f T e f,c has been established as a result of the notched specimen tests. A large T e f,c range was covered from −0.80 σ Y to +0.19 σ Y using SENT, CT, RT (roman tile) and DCB specimens. It was shown that the notch fracture toughness is a linear decreasing func-

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Elastic T-stress solutions for semi-elliptical surface cracks in finite thickness plates

Cited by 104 publications

References 21 publications

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

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

The shielding effects of the crack-tip plastic zone

Two-parameter fracture criterion (K ρ,c -T ef,c ) based on notch fracture mechanics

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