The crack opening displacement approach to fracture mechanics in yielding materials

Burdekin, F.M.; Stone, D.E.W.

doi:10.1243/03093247v012145

Cited by 355 publications

(69 citation statements)

References 5 publications

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“…(66), this displacement criterion is equivalent to the K criterion for a linear elastic crack. By means of the plane stress strip yield model proposed by Dugdale [30] for perfectly plastic materials, Goodier and Field [201] and Burdekin and Stone [202] obtained a more accurate expression of CTOD for the center-cracked infinite plate in tension:…”

Section: Er Ys ð66þmentioning

confidence: 99%

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

Zhu

Joyce

2012

Engineering Fracture Mechanics

627

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: Er Ys ð66þmentioning

confidence: 99%

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

Zhu

Joyce

2012

Engineering Fracture Mechanics

627

126

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“…Simple corrections to the linear elastic fracture mechanics are available when moderate crack tip yielding occurs (Tada et al, 1985;Burdekin & Stone;McClintock & Irwin, 1965). The size of the crack tip yielding zone can be estimated by the Irwin approach, where the elastic stress analysis is used to estimate the elastic plastic boundary.…”

Section: Advances In Composites Materials -Ecodesign and Analysis 450mentioning

confidence: 99%

Bonded Composite Patch Repairs on Cracked Aluminum Plates: Theory, Modeling and Experiments

Ricci¹,

Franco²,

Montefusco³

2011

Advances in Composite Materials - Ecodesign and Analysis

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“…Therefore (5) gives the size of the plastic zone ρ . The effective stress intensity factor is evaluated using the technique of Burdekin and Stone [8], which requires the crack opening (8) where J is the value of the J-integral evaluated using the JEDI procedure [5]. Very good agreement is obtained even for applied stresses approaching the yield stress where large plastic zones develop and small scale yielding conditions certainly do not exist.…”

Section: Residual Stresses 2016: Icrs-10mentioning

confidence: 99%

Elastic and Elastic-Plastic Behaviour of a Crack in a Residual Stress Field

Aird

Pavier

2016

Residual Stresses 2016

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Abstract. The behaviour of a crack in the centre of a plate subject to a far-field stress has been studied where the plate contains an initial residual stress. Elastic and elastic-plastic conditions have been considered. For elastic conditions a series of analyses based on stress intensity factor solutions have been developed to calculate the state of opening and the stress intensity factor for cracks of different lengths relative to the size of the residual stress field and different magnitudes of applied stress relative to the magnitude of the residual stress. For elastic-plastic conditions a strip yield model has been used to develop a similar set of analyses. The results of these analyses compare closely with those of finite element modelling. IntroductionIn an engineering component containing a crack, residual stresses interact with stresses generated by applied loading in a complex manner. Typically, numerical techniques are required to predict the likelihood of fracture, providing results that are particular to the set of conditions considered. The work we describe here represents an attempt to understand the generic behaviour of the crack for a straightforward geometry, loading and residual stress distribution that we hope will provide insight into the results of more involved analyses.Terada [1] provided an early analysis of the effect of residual stress on a crack. He proposed a residual stress distribution to represent a butt weld between two plates and then developed a method to evaluate the stress intensity factor assuming elastic behaviour. Chell and Ewing [2] discussed the effect of plasticity on fracture when residual stresses exist while Labeas and Diamantakos [3] used finite element analysis to explore the stress intensity factor for a crack of varying length embedded in a residual stress field.In this paper we investigate the behaviour of a crack in an infinite two dimensional plate with an initial residual stress distribution under superimposed uniaxial tension. First we describe our method for generating a residual stress distribution using a stress function. Next we use existing stress intensity solutions to explore the linear elastic behaviour of the crack as the length of the crack is altered and the magnitude of the applied stress is increased. We then use the strip yield model to investigate the elastic-plastic behaviour of the crack with increasing applied stress, for one size of the crack.

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The crack opening displacement approach to fracture mechanics in yielding materials

Cited by 355 publications

References 5 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

Bonded Composite Patch Repairs on Cracked Aluminum Plates: Theory, Modeling and Experiments

Elastic and Elastic-Plastic Behaviour of a Crack in a Residual Stress Field

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