Stress intensity factors of a central slant crack with frictional surfaces in plates with biaxial loading

Hammouda, M.M.I.; Fayed, Alaa; Sallam, Hossam El-Din M.

doi:10.1023/b:frac.0000045714.80342.a3

Cited by 12 publications

(25 citation statements)

References 17 publications

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“…Instead, a fine mesh was constructed around the crack tip. That idealization proved its adequacy in similar analyses (Hammouda et al, 2002(Hammouda et al, , 2003a(Hammouda et al, , 2003b(Hammouda et al, , 2004(Hammouda et al, , 2007(Hammouda et al, , 2017Fayed, 2008;Fayed et al, 2008).…”

Section: S 2rmentioning

confidence: 77%

“…The fracture toughness of brittle materials is reduced due the existence of pre-existing cracks (Kato & Nishioka, 2005). Intensive theoretical and experimental studies have frequently devoted their effort to brittle failure in engineering structures and components with cracks and/or notches Aliha et al, 2014Aliha et al, , 2016Ayatollahi et al, 2015;Fakhri et al, 2017;Fayed, 2008Fayed, , 2017Fayed et al, 2008;Hammouda et al, 2003aHammouda et al, , 2004Hammouda et al, , 2002Razmi & Mirsayar, 2017;Wei et al, 2016Wei et al, , 2017a. It was experimentally noticed that crack extension occurred in mode I rather than shear mode or mixed mode.…”

Section: Introductionmentioning

confidence: 99%

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Numerical evaluation of mode I/II SIF of quasi-brittle materials using cracked semi-circular bend specimen

Fayed¹

2018

10.5267/j.esm

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An in-house finite element code was utilized to evaluate mode I/II stress intensity factor (SIF) of an edge cracked semi-circular disc subjected to three-point bending. The specimen was considered as an isotropic and homogeneous material. Relative span length ratios of 0.3 to 0.8 in steps of 0.1 were invoked. Relative crack length ratios of 0.1, 0.2, 0.3, 0.4, 0.5 and 0.6 were analyzed with crack angles up to 60° in steps of 5°. At the same crack length, mode I SIF decreases with increasing crack angle or decreasing the span length. The range of pure mode II decreases with increasing the span length. For the same crack length, the crack angle corresponding to the transition from a mixed mode I/II to a pure mode II increases with increasing the relative span length ratio. On the contrary, that angle decreases with increasing the crack length for the same span length. Good agreement has been generally obtained with relevant results found in the literature.

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Section: S 2rmentioning

confidence: 77%

Section: Introductionmentioning

confidence: 99%

Numerical evaluation of mode I/II SIF of quasi-brittle materials using cracked semi-circular bend specimen

Fayed¹

2018

10.5267/j.esm

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“…In contrast with the researchers dealing numerically with this problem, the geometrical model in the present work was only one‐half of the disc, eg, the disc right half as shown in Figure B. The tool was an in‐house finite element code developed by the authors and successfully used for the SIFs solution of a central slant crack in a plate . The analysed disc had a radius, R , equal to 42 mm, a thickness, t , equal to 10 mm, and a crack length 2a inclined at an angle θ measured in a clockwise direction from the load direction.…”

Section: Present Analysismentioning

confidence: 99%

“…Eftekhari et al solved that problem using the extended finite element method but for smooth crack surfaces. This motivated the start of performing the present work whose authors have a proven experience in relation to the addressed problem . In their previous works, the authors dealt with central slant cracks with frictional surfaces in plates whose SIF solutions are different compared with a Brazilian disc.…”

Section: Introductionmentioning

confidence: 99%

Modes I/II SIF of a diametrically compressed Brazilian disc having a central inclined crack with frictional surfaces

Hammouda

Fayed

2017

Fatigue Fract Eng Mat Struct

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An in‐house finite element code was used to analyse a diametrically compressed isotropic homogeneous Brazilian disc having a central inclined crack with frictional surfaces for the evaluation of its corresponding modes I and II stress intensity factor (SIF). One‐half of the disc was successfully idealized. The coefficient of friction between the crack surfaces ranged from 0 to 1 in steps of 0.1. Relative crack length ratios of 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, and 0.7 were analysed with crack angles up to 90° in steps of 5°. The crack angle corresponding to the transition from a mixed mode I/II to a pure mode II decreases with increasing the relative crack length ratio. An increase in the relative crack length ratio leads to an increase in the range of crack angles corresponding to a partially closed crack. The crack angle at which fully closed sliding crack surfaces commences is 30° independent of the relative crack length ratio and the friction coefficient. With the same relative crack length ratio and increasing the friction coefficient, there is a corresponding decrease in the crack angle for the maximum mode II SIF. With a decrease in the relative crack length ratio or the friction coefficient, the crack angle beyond which the crack surfaces become in a fully sticking mode decreases resulting in zero mode II SIF. Generally, mode II SIF decreases with increasing the friction coefficient between the crack surfaces. Good agreement has been generally obtained with relevant results found in the literature.

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“…Analysis with conventional elements near the crack tip needs very small elements to capture the stress behavior at crack tip (Hammouda et al, 2002(Hammouda et al, , 2004(Hammouda et al, , 2007Fayed, 2008). To avoid such refined mesh, Hanshell and Shaw (1975) and Barsoum (1976Barsoum ( , 1977 proposed a special element to correctly address the crack tip singularity.…”

Section: Introductionmentioning

confidence: 99%

Numerical analysis of mixed mode I/II stress intensity factors of edge slant cracked plates

Fayed¹

2017

10.5267/j.esm

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Mixed mode I/II stress intensity factors of an edge slant-cracked plate under tensile loading were assessed. A two-dimensional finite element analysis was employed using ABAQUS. Various crack lengths and angles were analyzed. The effect of the crack location at the plate edge was also examined. Crack initiation angles were calculated. In general, modes I and II stress intensity factor increase with increasing crack length. However, the rate of increase in mode I SIF decreases with increasing the main crack angle. The results showed that stress intensity factors decreased ad the crack mouth approaches the edge mid line. The crack location becomes more significant as the crack length increases. The angle of first cracking depends on crack length, location, and angle.

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Stress intensity factors of a central slant crack with frictional surfaces in plates with biaxial loading

Cited by 12 publications

References 17 publications

Numerical evaluation of mode I/II SIF of quasi-brittle materials using cracked semi-circular bend specimen

Numerical evaluation of mode I/II SIF of quasi-brittle materials using cracked semi-circular bend specimen

Modes I/II SIF of a diametrically compressed Brazilian disc having a central inclined crack with frictional surfaces

Numerical analysis of mixed mode I/II stress intensity factors of edge slant cracked plates

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