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The IUP Journal of Mechanical Engineering
Experimental, Analytical and Numerical Analyses to Calculate Stress Intensity Factor on Circumferential Notched Round Bar
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The Stress Intensity Factors (SIF) of surface notch on circular bar have been evaluated by singular element with detailed mesh on crack front and appropriating adjacent area. The attention is focused on a circular bar with notch surface crack under tension load. SIF are considered using the finite element method. For that purpose, a straight round bar under tension is investigated. It also addresses the related change of the equivalent notch angle of crack profile with respect to crack depth ratio. SIF of elliptical surface cracks in tensile round bars are calculated by using three-dimensional Finite Element Analysis (FEA) models with singular 20- node elements arranged around the crack tip. The graphic and the table review of SIF are also determined. The SIF are calculated for various dimensions of surface cracks. These results are used to determine an analytic form of the SIF that is necessary in crack growth analyses. Using the derived analytic formulae for the SIF based on the FEA, a crack growth analysis is carried out.

 
 

The surface crack embedded with cylindrical components such as shaft, bar, bolt and wire is the most common crack model and has received widespread attention in the past. Due to geometrical complexity, some simplification had been made for the crack profile such as straight-edged, circular, notch and elliptical crack model to analyze such crack problem.

Cylindrical components have many applications in aircraft design. These structural components are subjected to cyclic stresses, which can cause damage and premature failure by fatigue crack growth. As it is well known, the design of engineering components in the past was only based on the S-N curves and did not consider the crack initiation and crack growth phases to predict life. Most of the mechanical failures by fatigue process on rotor shafts have origin on surface cracks that grow with a notch shape. Surface cracks emanating from stress concentrating locations are the most common phenomena of fatigue failure. Bars with variable cross-sections are a category of cylindrical parts and components extensively used in engineering mechanisms. Surface fatigue cracks are frequently initiated in such components at the stress concentrating locations, then they propagate into the interior of the parts and can cause final fracture abruptly (Brown, 1975).

 
 

Mechanical Engineering Journal, Stress Intensity Factor, V-notch, Fracture toughness, Crack analysis.