Stress Intensity Factor of a Crack from a Double U-Shaped Notch in a Finite Plate under a Tensile Stress

The advantages of the complex variable method are combined with the numerical procedure of collocation for estimating the stress intensity factors in finite, cracked plates subjected to in-plane loadings. In this approach, the complex stress functions for an infinite plate problem are modified to meet the boundary conditions for a finite plate with identical crack configuration. This procedure produces a system of linear equations which can be programmed readily on high-speed computers. The procedure is used to find the elastic stress intensity factor at the crack tip in a centrally notched plate in uniaxial tension. The resulting values are nearly identical to the stress intensity values determined analytically by the theory of elasticity. This numerical procedure should be useful for designers and analysts working in the fields of fracture mechanics and fail-safe concepts.

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Experimental and numerical determination of critical stress intensity factor of aluminum curved thin sheets under tensile stress

Journal of Mechanical Science and Technology ◽

10.1007/s12206-017-0414-8 ◽

2017 ◽

Vol 31 (5) ◽

pp. 2185-2195 ◽

Cited By ~ 2

Author(s):

Majid Heidarvand ◽

Naser Soltani ◽

Farshid Hajializadeh

Keyword(s):

Stress Intensity Factor ◽

Stress Intensity ◽

Intensity Factor ◽

Tensile Stress ◽

Critical Stress ◽

Critical Stress Intensity Factor ◽

Thin Sheets ◽

Numerical Determination

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Numerical Modelling of the Interaction Macro–Multimicrocracks in a Pipe under Tensile Stress

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.1105.245 ◽

2015 ◽

Vol 1105 ◽

pp. 245-250

Author(s):

Mohamed Sahnoun ◽

Djamel Ouinas ◽

B. Bachir Bouiadjra ◽

J. Vina Olay ◽

J. Vina Olay

Keyword(s):

Stress Intensity Factor ◽

Stress Intensity ◽

Intensity Factor ◽

Stress Field ◽

Tensile Stress ◽

Numerical Modelling ◽

Interaction Effect ◽

Relative Distance ◽

Microscopic Crack

In this paper, the evaluation of the SIFof a macrocrack in interaction with one or several microcracks in a material containing a geometrical defect was investigated. Several configurations were considered in order to apprehend the mechanisms induced by the interaction effect and in particular the effects of reduction and/or amplification of the stress field between macro and single or multiple microcracks. The obtained results show that, macro–microcrack spacing is an important parameter if the microscopic crack is relatively close to the macrocrack-tip. The macrocrack has the tendency to accelerate as it propagates towards the microcrack. When the relative distance characterizing this spacing is higher than 0.3, the interaction effect can be neglected and the SIF remains unchanged for both defect types. When this ratio is lower than 0.3, the interaction between the two defects becomes significant and the stress intensity factor at the macrocrack tip strongly increases.

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