Noori-Azghad, F., Khademizadeh, H., Barati, E. (2013). Study of Variation of the J-integral and the Fracture Toughness in Blunt V-notches under Mode I Loading. Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 6(2), 21-30.
F. Noori-Azghad; H. Khademizadeh; E. Barati. "Study of Variation of the J-integral and the Fracture Toughness in Blunt V-notches under Mode I Loading". Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 6, 2, 2013, 21-30.
Noori-Azghad, F., Khademizadeh, H., Barati, E. (2013). 'Study of Variation of the J-integral and the Fracture Toughness in Blunt V-notches under Mode I Loading', Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 6(2), pp. 21-30.
Noori-Azghad, F., Khademizadeh, H., Barati, E. Study of Variation of the J-integral and the Fracture Toughness in Blunt V-notches under Mode I Loading. Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 2013; 6(2): 21-30.
Study of Variation of the J-integral and the Fracture Toughness in Blunt V-notches under Mode I Loading
Fracture assessment of U- and V-notches is important in mechanical engineering. One can use the J-integral as fracture parameter in order to predict the critical fracture load in notches. The critical value of the J-integral in cracks is a function of the material properties. In notches, however, the material properties as well as the notch dimensions affect this critical value (named fracture toughness). So, one should carry out a complex and time-consuming experiment in order to find the fracture toughness. In this paper, a practical equation has been derived to evaluate the critical value of the J-integral in blunt V-notches under Mode I loading. By means this new expression, only the notch dimensions and the critical value of the J-integral in cracks should be known. In this paper, the effect of the notch angle, the control volume radius to the notch root radius ratio (Rc/ρ), and the Poisson’s ratio on the J-integral and the critical value of the J-integral have been studied. Results have shown that by increasing the notch angle and the Poisson’s ratio, the fracture toughness decreases. However, the fracture toughness increases by increasing the Rc/ρ ratio.
References
[1] Lazzarin P., Zambardi R., A finite volume energy based approach to predict the static and fatigue behavior of components with sharp V-shaped notches, International Journal of Fracture, Vol. 112, 2001, pp. 275-298.
[2] Yosibash Z., Bussiba A.R., Gilad I., Failure criteria for brittle elastic materials, International Journal of Fracture, Vol. 125, 2004, pp. 307–333.
[3] Lazzarin P., Berto F., Some expressions for the strain energy in a finite volume surrounding the root of blunt V-notches, International Journal of Fracture, Vol. 135, 2005, pp. 161-185.
[4] Gómez F.J., Elices, M., Berto F., Lazzarin P., Local strain energy to assess the static failure of U-notches in plated under mixed mode loading, International Journal of Fracture, Vol. 145, 2007, pp. 29–45.
[5] Chen Y.H., Lu T.J., On the path dependence of the J-integral in notch problems, International Journal of Solids and Structures, Vol. 41, 2004, pp. 607-618.
[6] Livieri P., A new path independent integral applied to notched components under mode I loadings, International Journal of Fracture, Vol. 123, 2003, pp. 107-125.
[7] Matvienko Y.G., Morozov E.M., Calculation of the energy J-integral for bodies with notches and cracks, International Journal of Fracture, Vol. 125, 2004, pp. 249-261.
[8] Wang F., Lee H.P., Lu C., Relations between structural intensity and J-integral, Engineering Fracture Mechanics, Vol. 72, 2005, pp. 1197-1202.
[9] Zhu X.K., Joyce J.A., J-resistance curve testing of HY80 steel using SEB specimens and normalization method, Engineering Fracture Mechanics, Vol. 74, 2007, pp. 2263-2281.
[10] Berto F., Lazzarin P., Relationships between J-integral and the strain energy evaluated in a finite volume surrounding the tip of sharp and blunt V-notches, International Journal of Solids and Structures, Vol. 44, 2007, pp. 4621-4645.
[11] Barati E., Berto F., A comparison between rapid expression for evaluation of the critical J-integral in plates with U-notches under mode I loading, Journal of strain Analysis, Vol. 46, 2011, pp. 852–865.
[12] Berto F., Barati E., Fracture assessment of U-notches under three point bending by means of local energy density, Material and design, Vol. 32, 2011, pp. 822-830.
[13] Rice J.R., A path independent integral and the approximate analysis of strain concentration by notches and cracks, Journal of Application Mechanic, Vol. 35, 1968, pp. 379-386.
[14] نوری ازغد، ف،. ارائه روابط تحلیلی و عددی محاسبه چقرمگی شکست (Jcr) در شیارهای V شکل انحناءدار تحت مود I بارگذاری، پایان نامه کارشناسی ارشد، دانشگاه آزاد اسلامی واحد خمینی شهر، 1392.
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