Fracture of Surface Cracks Loaded in Bending

Chao, Y.-H.; Reuter, W.G.

doi:10.1520/stp12310s

Cited by 7 publications

(7 citation statements)

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“…Three parameters would be too complicated. Furthermore, the two parameters, K I and A 3 , is consistent with the static case as studied by Chao and Reuter (1997), Chao and Zhang (1997), Chao et al (2001), and Liu and Chao (2003).…”

Section: Determination Of Asupporting

confidence: 86%

“…To quantify the effect of the geometry and loading conditions on the crack-tip stress field and consequently on the fracture toughness, several models based on two parameter fracture mechanics have been proposed and applied to the interpretation of fracture toughness data, e.g. J − T (Larsson and Carlsson 1973;Al-Ani and Hancock 1991), J − Q (O'Dowd and Shih 1992) and J − A 2 (Chao et al 1994) for ductile materials with elastic-plastic deformation and K −T or K − A 3 (Chao and Zhang 1997;Chao and Reuter 1997;Chao et al 2001;Liu and Chao 2003) for brittle materials with elastic deformation. This is frequently called "constraint effect" and the second parameter is used to quantify the level of the constraint of the specimen or structure.…”

Section: Introductionmentioning

confidence: 99%

“…Note that K I (A 3 ) is the coefficient of the first (third) term in the Williams' series solution. Similar three-term approach has been used for the interpretation of brittle fracture under quasi-static conditions (Chao and Zhang 1997;Chao and Reuter 1997;Chao et al 2001;Liu and Chao 2003).…”

Section: Introductionmentioning

confidence: 99%

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Effect of loading rate on dynamic fracture initiation toughness of brittle materials

Kim

Chao

2007

Int J Fract

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Numerical simulation is carried out to investigate the effect of loading rate on dynamic fracture initiation toughness including the crack-tip constraint. Finite element analyses are performed for a single edge cracked plate whose crack surface is subjected to uniform pressure with various loading rate. The first three terms in the Williams' asymptotic series solution is utilized to characterize the crack-tip stress field under dynamic loads. The coefficient of the third term in Williams' solution, A 3 , was utilized as a crack tip constraint parameter. Numerical results demonstrate that (a) the dynamic crack tip opening stress field is well represented by the three term solution at various loading rate, (b) the loading rate can be reflected by the constraint, and (c) the constraint A 3 decreases with increasing loading rate. To predict the dynamic fracture initiation toughness, a failure criterion based on the attainment of a critical opening stress at a critical distance ahead of the crack tip is assumed. Using this failure criterion with the constraint parameter, A 3 , fracture initiation toughness is determined and in agreement with available experimental data for Homalite-100 material at various loading rate.

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Section: Determination Of Asupporting

confidence: 86%

Section: Introductionmentioning

confidence: 99%

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Effect of loading rate on dynamic fracture initiation toughness of brittle materials

Kim

Chao

2007

Int J Fract

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“…For a positive T stress, the wings are oriented in the crack as above direction. If the T stress is negative, the wings are oriented in the reverse crack extension direction …”

Section: The Different Constraint Parametersmentioning

confidence: 99%

A review of fracture toughness transferability with constraint and stress gradient

Pluvinage

Capelle

Méliani

2014

Fatigue Fract Eng Mat Struct

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A B S T R A C T In this review paper, only constraint and stress gradient approaches to transferability of fracture toughness are examined. The different constraint parameters are defined and discussed, and one example is given in each case. Factors that influence the constraint are studied. Special attention is given to the actual trends to use the plastic constraint in the material failure master curve and the material transition temperature master curve. The paper also deals on the influence of T stress on the crack path and out-of-plane constraint and on the influence of thickness on fracture toughness. The uses of plasticity with gradient and the relative stress gradient in local fracture approaches are also examined.A = constant A i = Williams' stress distribution parameterŝ A i = HRR stress distribution parameters A P = Constraint parameter A p,c = current plastic zone area A p,ssy = reference plastic zone area A εp,c = area surrounded by the equivalent plastic strain A εp,ref = reference area surrounded by the (ε p ) isolines B = thickness B 0 , B 1 , B 2 and B 3 = constants D = pipe diameter D 0 = length E = Young's modulus F = geometry correction factor G = shear modulus G c = fracture toughness I = complex function of eigenvalues I n = dimensionless integration constant J = path integral J c = fracture toughness J Ic = fracture toughness in plane strain conditions J ref = reference fracture toughness K Ic = fracture toughness for plane strain conditions K Jc = fracture toughness K Iz,c = three-dimensional fracture toughness in pure mode I K 0 = lower bound of the notch fracture toughness K ρ,c = notch fracture toughness K 0 ρ;c = fracture toughness corresponding to T ef,c = 0 L = plastic constraint factor N = strain hardening exponent

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“…Characterisation of crack tip stresses has been an area of active research for many decades; see for example a short state‐of‐art where an over‐deterministic least squares technique is presented to evaluate the mixed‐mode multi‐parameter stress field by photo‐elasticity. Understanding the evolution of higher order terms for different geometries is key to predict the constraint of elastic‐plastic crack tip fields . Such an information is also of great relevance for interpreting the size effect of quasi‐brittle materials .…”

Section: Introductionmentioning

confidence: 99%

Williams' expansion‐based approximation of the displacement field in an Al 2024 compact tension specimen reconstructed from optical measurements

Seitl

Malíková

Ruzicka

et al. 2018

Fatigue Fract Eng Mat Struct

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A study on the approximation of the displacement field in the vicinity of a crack tip in a compact tension specimen made from Al 2024‐T351 is presented. Components of displacements vector are expressed using the linear elastic fracture mechanics theory via Williams' power series multi‐parameter formulation. Determination of the coefficients of the terms of this series is performed using a least squares‐based regression technique known as over deterministic method for which displacements data obtained experimentally via optical measurements are taken as inputs. The displacement fields reconstructed are discussed, and several conclusions are drawn regarding the number of the Williams' power series terms considered and the region where the displacement are investigated.

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Fracture of Surface Cracks Loaded in Bending

Cited by 7 publications

References 0 publications

Effect of loading rate on dynamic fracture initiation toughness of brittle materials

Effect of loading rate on dynamic fracture initiation toughness of brittle materials

A review of fracture toughness transferability with constraint and stress gradient

Williams' expansion‐based approximation of the displacement field in an Al 2024 compact tension specimen reconstructed from optical measurements

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