Calculation of the energy J-integral for bodies with notches and cracks

Matvienko, Yu. G.; Morozov, E. M.

doi:10.1023/b:frac.0000022241.23377.91

Cited by 94 publications

(62 citation statements)

References 21 publications

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“…Some authors [15][16][17][18][19] have therefore proposed simplified global approaches, essentially based on one-or two-parameter linear elastic or elastic-plastic fracture mechanics, to evaluate a notch driving force and therefore the effect of the notch radius on specimen or component fracture response. Alternatively, more recently, the current authors have used a local approach to fracture to predict the effect of notch acuity [20] and low constraint conditions [21] on ductile fracture toughness.…”

Section: Introductionmentioning

confidence: 99%

Notch bluntness effects on fracture toughness of a modified S690 steel at 150 °C

Js¹,

Larrosa²,

Horn

et al. 2018

Engineering Fracture Mechanics

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This paper addresses the effect of blunt defects on the structural integrity assessment of steels. Smooth tensile, notched bar tensile and multi-specimen single edge notched bend tests with various notch acuities have been performed and show an increase in effective ductile fracture toughness with increasing notch radius. A ductile fracture model has been shown to be capable of predicting the specimen responses including the local variation of ductile crack extension through the thickness. An empirical fit developed to describe the effect of notch radius on cleavage fracture toughness has been examined and found to be also capable of describing the effect of notch radius on ductile fracture toughness. KEYWORDS:

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Section: Introductionmentioning

confidence: 99%

Notch bluntness effects on fracture toughness of a modified S690 steel at 150 °C

Js¹,

Larrosa²,

Horn

et al. 2018

Engineering Fracture Mechanics

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show abstract

“…Area and volume integrals provide much better accuracy than contour and surface integrals and are much easier to implement numerically (Anderson, 2005). In parallel, since numerical analyses are expensive and time-consuming, simplified approaches for engineering calculations have been developed (see Matvienko and Morozov, 2004; and references reported therein).When the components exhibit a linear elastic behaviour, J ¼ K 2 I =E 0 under Mode I loading and J ¼ ðK 2 I þ K 2 II Þ=E 0 under mixed mode loading, where E 0 is the elastic modulus E under plane stress conditions and the modified elastic modulus E/(1 À m 2 ) under plane strain conditions. The above J-integral corresponds to the first component of vector J i , as defined by Budiansky and Rice (1973).…”

mentioning

confidence: 99%

Relationships between J-integral and the strain energy evaluated in a finite volume surrounding the tip of sharp and blunt V-notches

Berto

Lazzarin

2007

International Journal of Solids and Structures

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The concept of "elementary" volume and "micro structural support length" was introduced many years ago by Neuber. Neuber formulated the idea that, also in the presence of a sharp notch, a generic material is sensitive to a fictitious root radius whose value is only simply correlated to the `micro-structural support length' and to the multiaxiality of the stress state. On the other hand, Rice's J-integral is a commonly used elastic and elastic-plastic fracture parameter for the description of the local fields in the neighbourhood of stress concentrations and for the study of crack initiation and propagation. In order to be applied to un-cracked geometries, J-integral needs a path definition. A particular control area, which embraces the tip of sharp and blunt notches, is defined here, and over that area the mean value of the strain energy E-(e) and J-integral are determined under Mode I loading. The semi-moon-like area Omega adapts itself as a function of the notch geometry leaving unchanged its depth R-c measured on the notch bisector line. The variability of the E-(e)/J ratio versus R-c is analysed considering sharp V-notches as well as blunt notches with a semicircular root and an opening angle ranging from 0 degrees to 135 degrees. The analyses demonstrated that a linear law permits a link between the two parameters in the case of sharp V-notches and blunt V-notches with a large opening angle. By decreasing the angle, the linear law is valid only as a first approximation. due to the increasing influence of two elliptic integrals in the analytical formulation of J. Some elasticplastic analyses limited to V-notches with a large opening angle confirm those findings

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“…This conclusion was shown in later analysis by Ainsworth and O'Dowd[19] and is shown in Figure 4. From this perspective, Matvieko and Morozov developed expressions for a 2-parameter fracture criterion for short cracks [20]. A goal of this analysis project was to confirm or refute that a single value of fracture toughness is insufficient to predict crack propagation.…”

Section: Background Information On J-integralmentioning

confidence: 99%

J-Integral modeling and validation for GTS reservoirs.

Martinez-Canales¹,

Nibur²,

Alex³

et al. 2009

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Non-destructive detection methods can reliably certify that gas transfer system (GTS) reservoirs do not have cracks larger than 5%-10% of the wall thickness. To determine the acceptability of a reservoir design, analysis must show that short cracks will not adversely affect the reservoir behavior. This is commonly done via calculation of the J-Integral, which represents the energetic driving force acting to propagate an existing crack in a continuous medium. J is then compared against a material's fracture toughness (J c ) to determine whether crack propagation will occur. While the quantification of the J-Integral is well established for long cracks, its validity for short cracks is uncertain.This report presents the results from a Sandia National Laboratories' project to evaluate a methodology for performing J-Integral evaluations in conjunction with its finite element analysis capabilities. Simulations were performed to verify the operation of a post-processing code (J3D) and to assess the accuracy of this code and our analysis tools against companion fracture experiments for 2-and 3-dimensional geometry specimens. Evaluation is done for specimens composed of 21-6-9 stainless steel, some of which were exposed to a hydrogen environment, for both long and short cracks. 4

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Calculation of the energy J-integral for bodies with notches and cracks

Cited by 94 publications

References 21 publications

Notch bluntness effects on fracture toughness of a modified S690 steel at 150 °C

Notch bluntness effects on fracture toughness of a modified S690 steel at 150 °C

Relationships between J-integral and the strain energy evaluated in a finite volume surrounding the tip of sharp and blunt V-notches

J-Integral modeling and validation for GTS reservoirs.

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