Abstract
We propose an approximate method for the calculation of the energyJ-integral for bodies with notches (cracks) subjected to elastoplastic deformations based on an analysis of stress and stress concentration at the tip of the notch (crack). The formulas for theJ-integral are obtained in terms of the theoretical stress concentration factor (stress intensity factor), nominal stresses, radius of the notch tip (crack length), and elastoplastic properties of the material. These formulas enable one to representJ-based design curves with account of the effect for material hardening.
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References
K. Wieghardt, “Über das Spalten und Zerreisen elastischer Körper,”Z. Math. Phys. 55, 60–103 (1907).
G. M. Khazhinskii, “Calculation of concentrators under elastoplastic deformation,”Rasch. Prochn., No. 24, 102–112 (1983).
E. M. Morozov and Yu. G. Matvienko, “Calculation of the energy integral for bodies with cracks and notches under elastoplastic deformation,”Tr. TsKTI, No. 246, 67–73 (1988).
C. E. Turner, “AJ-based design curve,” in:Advances in Elasto-Plastic Fracture Mechanics: Proceedings of a Seminar (Varese, 1979) Appl. Sci. Publ., London (1980), pp. 301–318.
Additional information
Blagonravov Institute of Mechanical Engineering, Russian Academy of Sciences, Moscow; Moscow Institute of Engineering Physics, Moscow. Translated from Fiziko-Khimicheskaya Mekhanika Materialov, Vol. 30, No. 3, pp. 82–87, May–June, 1994.
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Matvienko, Y.G., Morozov, E.M. A method for approximate calculation of the energy integral for notched and cracked bodies. Mater Sci 30, 345–349 (1995). https://doi.org/10.1007/BF00569686
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DOI: https://doi.org/10.1007/BF00569686