Abstract
This paper presents numerical analysis of double slanted central cracks in square plates under mode I tension stress. ANSYS finite element program is used to model and solve the problem of slanted cracks where the stress intensity factor is determined according to J-integral approach. Three relative crack length, a/W = 0.1, 0.2 and 0.3 is used while relative spacing between the cracks, s/2a are ranged between 0.1 to 0.6. In order to study the roles of slanted cracks on the stress intensity factor, several slanted angles are used such as 0°, 15°, 30°, 45°, 60° and 75°. According to the numerical analysis, all parameters above played an important role in determining the stress intensity factors. As expected, longer crack produced higher stress intensity factor. For the cracks with a/W ≤ 0.2, insignificant crack interaction is observed however when crack reached a/W=0.3, the interaction is gradually increased. Increasing the slanted angles slightly increased the interaction factor however the effect of relative crack spacing became insignificant.
Highlights
The formations of cracks are strongly depend on the type of materials, loading, environmental aggression and design condition of mechanical components
Whereas for crack length greater than 0.3, the interaction factor increased gradually it is still lower than the case of normal cracks
This is due to the fact that when the cracks are inclined, the capability of mode I loading to open the cracks are insignificant since the formation of mode I stress intensity factors are strongly related with such angles
Summary
The formations of cracks are strongly depend on the type of materials, loading, environmental aggression and design condition of mechanical components. Ismail et al [3] investigated stress intensity factors of double edge cracks in large groove plate under mode I tension. They used finite element method to determine the stress intensity factor via domain integral method. Shu et al [6] studied the problems of three cracks on both edges of finite width sheet under mode I loading They modelled the multiple cracks using finite element method and due to symmetrical effect only half of model is developed. They found that when there are several cracks existed, the flexibility of the plate increased and the stress intensity factors at the crack tips decreased. The stress intensity factors calculated from single and multiple cracks are analysed with the relations of parameters mentioned previously
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