On the use of the T-criterion in fracture mechanics

Yehia, Nabil A.B.

doi:10.1016/s0013-7944(85)80021-7

Cited by 34 publications

(6 citation statements)

References 8 publications

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“…Reference [60]) and the maximum dilatational strain energy density criterion (e.g. Reference [61]). The investigation on which theory to use is clearly out of scope of the present study.…”

Section: Bifurcation In Crack Growth Patternmentioning

confidence: 99%

Condition for the onset of bifurcation in en echelon crack arrays

Chau

Wang

2001

Num Anal Meth Geomechanics

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Emergence and evolution of en echelon crack arrays play an essential role in the failure of geomaterials, regardless of the scale of deformation. This paper derives analytically an approximation for the critical crack size/spacing ratio at which a uniformly growing en echelon crack array yields to a non-uniform growing pattern of crack growth. Numerical results show that the critical crack size/spacing ratio ("a/d where a is the half crack length and d is the distance between the centres of two adjacent cracks) depends on the orientation of the crack array , the number of cracks N in the array, as well as the loading conditions. In general, decreases with N, but depends non-linearly on . When en echelon crack arrays are under far-"eld shearing along the direction of the crack array, our prediction for is about 0.5715, comparing to the experimental observation of about 0.5. For rock joints containing en echelon cracks, the interpreted critical crack size at the onset of the alternating evolution of crack growth are 0.66 and 0.89 for "26 and 163, comparing to our predictions of 0.5695 and 0.6112, respectively.

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“…Reference [60]) and the maximum dilatational strain energy density criterion (e.g. Reference [61]). The investigation on which theory to use is clearly out of scope of the present study.…”

Section: Bifurcation In Crack Growth Patternmentioning

confidence: 99%

Condition for the onset of bifurcation in en echelon crack arrays

Chau

Wang

2001

Num Anal Meth Geomechanics

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“…In pure mode II, the angle of crack growth and the ratio of fracture toughness for the lower and upper limits of α can be obtained by using Eqs. (13) and (14) as follows:…”

Section: The Suggested Criterion For Pure Mode IImentioning

confidence: 99%

“…By decomposing the strain energy into two dilatational and distortional components, he considered that crack begins to grow in the direction of maximum dilatational strain energy along the path of constant distortional energy within a radial domain ( r ‐Mises), which is the boundary between the plastic and elastic zones around the crack. By reviewing the T criterion, Yehia and Khan and Khraisheh proposed a modified method named R criterion . In their method, fracture occurs when the radius of plastic zone in crack growth direction reaches its critical value.…”

Section: Introductionmentioning

confidence: 99%

A novel mixed‐mode brittle fracture criterion for crack growth path prediction under static and fatigue loading

Sajjadi

Ghorabi

Salimi-Majd

2015

Fatigue Fract Eng Mat Struct

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In this paper, in order to predict the crack growth direction and fracture load under mixed modes I and II loading, a new criterion is proposed. For this purpose, after reviewing existing criteria, an effective stress is defined so as to include the influential stress components in fracture and exclude insignificant ones. Moreover, investigations show that most criteria predict a certain angle of fracture in pure mode II independent of material properties, although the experimental results are noticeably different for various materials. To solve this problem, effects of the ratio of fracture toughness for pure mode II to that of pure mode I are considered by defining a new material parameter. To verify the suggested criterion, after characterization of the newly defined material parameter, the predicted values using this criterion for the mixed‐mode conditions are computed. The predicted results show a good agreement with the experimental results.

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“…The maximum shear stress may be calculated directly from William's asymptotic expansion of stress 33 . In addition, the use of the maximum hydrostatic stress as a fracture criterion for tensile‐type fracture has been suggested by a number of researchers 34,35 …”

Section: Tensile‐type and Shear‐type Fracturementioning

confidence: 99%

“…33 In addition, the use of the maximum hydrostatic stress as a fracture criterion for tensile-type fracture has been suggested by a number of researchers. 34,35 Chao and Liu, 2 Li et al, 17 Sutton et al 22 and Ma et al 26 have proposed theoretical models for tensile-type to shear-type fracture transition. In the remainder of this paper, Chao and Liu's model will be referred to as the Competition between maximum tensile stress and maximum shear stress at characteristic distance.…”

Section: Models To Predict Tensile-type To Shear-type Transitionmentioning

confidence: 99%

Quantification of constraint effects in fracture mechanism transition for cracked structures under mixed mode loading

Mostafavi

Smith

Pavier

2009

Fatigue Fract Eng Mat Struct

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A B S T R A C TThe objective of the study is to evaluate the effects of plastic constraint on transition between tensile-type and shear-type fracture . The T-stress is employed as the quantifying parameter for constraint and is incorporated into the existing theoretical criteria for modelling this transition. It is found that different constraint levels can dramatically alter the transition point. To verify this finding, two sets of mixed mode tests with different constraint levels are carried out. Alongside the theoretical and experimental study, finite element simulation is performed to verify and support these findings. Substantially improved agreement is observed with experimental data if the effect of plastic constraint on transition is included. a = crack length r, θ = crack tip coordinates r c = characteristic distance B = biaxiality ratio (dimensionless T-stress) E = elastic modulus F I , F II = mode I and mode II geometry factors F m = function defining the relation between mode I stress intensity factor and parameter m, m being σ θθ , σ rr , σ rθ J = J-integral K I , K II = mode I and II stress intensity factors K Ic = mode I fracture toughness measured from a standard test L, W , t = specimen length, width, thickness M p = mixity parameter P Ic = fracture load of mode I, highly constraint specimen P c = fracture load of mixed mode specimen P tensile c = fracture load of tensile-type fracture predicted employing maximum tensile stress criterion P shear c = fracture load of shear-type fracture predicted employing maximum shear stress criterion T = non-singular term of stress (T-stress) T f = stress triaxiality factor (hydrostatic to von-Mises stress) α = dimensionless characteristic distance σ θθ , σ rr , σ rθ = tangential, radial and shear stress σ y , τ y = tensile and shear yield stressCorrespondence: M. Mostafavi.

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On the use of the T-criterion in fracture mechanics

Cited by 34 publications

References 8 publications

Condition for the onset of bifurcation in en echelon crack arrays

Condition for the onset of bifurcation in en echelon crack arrays

A novel mixed‐mode brittle fracture criterion for crack growth path prediction under static and fatigue loading

Quantification of constraint effects in fracture mechanism transition for cracked structures under mixed mode loading

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