Fracture probability of a randomly oriented microcrack under multi-axial loading for the normal tensile stress criterion

Lei, Weidong

doi:10.1016/j.tafmec.2016.01.004

Cited by 12 publications

(7 citation statements)

References 17 publications

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“…1,12 Therefore, this work will resort to Equations 14 and 15. Equation 15 was successfully applied to the proportional size scaling of strength of concrete. 1,12 However, the non-proportional size scaling of strength remains a big challenge.…”

Section: Substitution Of Equation 8 In Equationmentioning

confidence: 99%

“…As an example, the analytical solution to p(σ, V 0 ) under the normal tensile stress (σ n ) criterion is given in Lei. 15 With respect to the susceptibility of spatial distribution of microcracks to stress state, because concrete is a quasi-brittle material, microcracks can initiate or grow under external loading. It is thus reasonable to question whether the spatial distribution of microcracks in concrete changes with stress state, eg, from uniaxial tension to biaxial tension.…”

Section: Substitution Of Equation 8 In Equationmentioning

confidence: 99%

“…Equation 13 was validated by the strength data of a wide spectrum of quasi-brittle materials including wood, concrete, coal, gamma titanium aluminum alloy, nuclear-grade graphite, and aluminum foam on geometrically self-similar specimens under same loading conditions. Equation 15 was successfully applied to the proportional size scaling of strength of concrete. 1,12 Therefore, this work will resort to Equations 14 and 15.…”

Section: Introductionmentioning

confidence: 99%

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Non‐proportional size scaling of strength of concrete in uniaxial and biaxial loading conditions

Qian

Zhai

et al. 2018

Fatigue Fract Eng Mat Struct

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A procedure for non‐proportional size scaling of the strength of concrete based on the weakest‐link statistics is proposed to synchronize strength data from specimens of different geometries and different loading modes. The procedure relies on proportional size scaling of strength to determine the parameters of the statistical model and often on finite element analysis to calculate the coefficient of the equivalent strength. The approach for non‐proportional size scaling is capable to synchronize the uniaxial strength data of concrete from uniaxial tensile specimens and 3‐point bending specimens, or the biaxial tensile strength data of circular plates in different loading mode. The non‐transference of the uniaxial strength data to the biaxial strength data is unclear in its mechanism but possibly due to the variation of statistical distribution of microcracks with stress states in different specimens.

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Section: Substitution Of Equation 8 In Equationmentioning

confidence: 99%

Section: Substitution Of Equation 8 In Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Non‐proportional size scaling of strength of concrete in uniaxial and biaxial loading conditions

Qian

Zhai

et al. 2018

Fatigue Fract Eng Mat Struct

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“…This approach to resolving fracture mechanics problems containing trigonometric functions was used in Ref. [16] because of its capability for taking an exhaustive search of all possible solutions.…”

Section: A S Y M P T O T I C S T R E S S a N A L Y S I S U S I N G T ...mentioning

confidence: 99%

Non‐oscillatory and non‐singular asymptotic solutions to stress fields at interface cracks

Lei

2017

Fatigue Fract Eng Mat Struct

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This work concerns the complex oscillatory singularities revealed in Williams's asymptotic solutions to stress fields around arbitrary interface cracks, which are the foundation of phenomenological interface fracture mechanics. First, we highlight the fatal discrepancy between the asymptotic stress fields for cracks in a homogeneous material obtained by assigning an identical material on both regions embracing an interface crack, and the solutions directly derived from cracks in a single material. Next, following a brief introduction to Williams's formulation process, we adopt the method of repeatedly eliminating variables instead of solving the determinant equation for the coefficient matrix to reformulate the asymptotic analysis of stress fields at arbitrary interface cracks. The resultant stresses get rid of oscillatory character. Further, under two specific loading conditions, namely, remotely uniaxial tension or shear, non‐oscillatory and non‐singular asymptotic solutions to stress fields around interface cracks are obtained.

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“…On the basis of the double-K fracture criterion, crack initiation has been predicted by the initiation fracture toughness, and the stability of the crack propagation has been predicted by the unstable fracture toughness. The maximum tensile stress criterion has been widely used to predict the appearance of cracks in rock and concrete structures [7][8][9][10][11][12]. This criterion indicates that cracks will appear when the maximum circumferential stress in the concrete structure exceeds the tensile strength of the material.…”

Section: Introductionmentioning

confidence: 99%

Experimental Study of Crack Propagation in Cracked Concrete

Wang

2019

Energies

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The intersection of cracks has an important role in the key technology of hydraulic fracturing for enhancing the recovery of tight hydrocarbon reservoirs. On the basis of digital image correlation technology, three-point bending tests of concrete beams with an edge crack and a central preset crack were conducted to investigate the propagation of cracks after intersection in concretes. Concrete beams with cracks of different positions, lengths, and approach angles were tested, and results were analyzed. In conclusion, the crack positions, crack lengths, and approach angles significantly influence the crack propagation in naturally cracked concrete. A large distance between the crack tip and central point at the preset transverse crack and crack length indicate a high possibility of the edge crack vertically crossing the preset crack. In particular, the crack restarts from the preset crack tip after intersection when the distance between two cracks is smaller than 30 mm and when the preset crack length is smaller than 40 mm. A large approach angle corresponds to a large carrying capacity of the beam and a high possibility of the crack propagating perpendicularly. An improved criterion of restart cracking after interaction is proposed, and the restart points of all tested beams are predicted and compared with the experimental results. A good agreement is observed, which proves that this criterion is reliable.

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Fracture probability of a randomly oriented microcrack under multi-axial loading for the normal tensile stress criterion

Cited by 12 publications

References 17 publications

Non‐proportional size scaling of strength of concrete in uniaxial and biaxial loading conditions

Non‐proportional size scaling of strength of concrete in uniaxial and biaxial loading conditions

Non‐oscillatory and non‐singular asymptotic solutions to stress fields at interface cracks

Experimental Study of Crack Propagation in Cracked Concrete

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