J-Integral for Deep and Shallow Notches Under Torsion
Source abstract
Abstract
J-integral has been calculated along the free-of-stress border of deep and shallow rounded notches under torsion, under the hypothesis of a linear elastic behaviour of the material. Two exact closed-form solutions have been obtained which make it explicit the influence of the notch opening angle and the notch root radius. When the notch root radius tends to zero the proposed solution matches the expression for the corresponding pointed V-notch case.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Fatigue and fracture mechanics · Numerical methods in engineering · Engineering Structural Analysis Methods
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References (13)
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1. Atzori B., Lazzarin P. (2001) Notch sensitivity and defect sensitivity: two sides of the same medal. International Journal of Fracture 107: L3–L810.1023/A:1007686727207 ↗
2. 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 2007;44:4621–45.10.1016/j.ijsolstr.2006.11.041 ↗
3. Filippi S., Lazzarin P., Tovo R. (2002) Developments of some explicit formulas useful to describe elastic stress field ahead of the notches. International Journal of Solids and Structures 39: 4543–456510.1016/S0020-7683(02)00342-6 ↗
4. Irwin, G.R. (1958) Fracture. In: Handbuch der Physik 6, pp.551-590. Springer Verlag, Berlin, 1958.
5. Knowles J.K., Stenberg E. (1972) On a class of conservation laws in linearized and finite elastostatics. Archives for Rational Mechanics and Analysis 44: 187–21110.1007/BF00250778 ↗
6. Lazzarin P, Zappalorto M, Yates JR. Analytical study of stress distributions due to semi-elliptic notches in shafts under torsion loading. International Journal of Engineering Science 2007;45:308-28.10.1016/j.ijengsci.2007.04.007 ↗
7. Lazzarin P., Zappalorto M. (2008). Plastic notch stress intensity factors for pointed V-notches under antiplane shear loading. International Journal of Fracture 152, pp. 1-25.10.1007/s10704-008-9260-0 ↗
8. Lazzarin P., Livieri P., Zambardi R. (2002) A J-integral-based approach to predict the fatigue strength of components weakened by sharp V-shaped notches. International Journal of Computer Applications in Technology 15: 202–21010.1504/IJCAT.2002.000296 ↗
9. Livieri P. A new path independent integral applied to notched components under mode I loadings. International Journal of Fracture 2003;123:107–25.10.1023/B:FRAC.0000007371.25227.aa ↗
10. Livieri P., Segala F. Analytical evaluation of J-integral for elliptical and parabolic notches under mode I and mode II loadings. International Journal of Fracture 2007, 148, pp. 57-71.10.1007/s10704-008-9178-6 ↗
11. Neuber H. (1958) Theory of notch stresses. Springer-Verlag, Berlin
12. Rice JR. A path independent integral and the approximate analysis of strain concentration by notches and cracks. Journal of Applied Mechanics 1968;35:379–86.10.1115/1.3601206 ↗
13. Zappalorto M, Lazzarin P, Yates JR. Elastic stress distributions resulting from hyperbolic and parabolic notches in round shafts under torsion and uniform antiplane shear loadings. International Journal of Solids and Structures 2008;45:4879-901.10.1016/j.ijsolstr.2008.04.020 ↗