Abstract:
The Neuber–Novozhilov approach is used to obtain necessary and sufficient fracture criteria. Using a modified Leonov–Panasyuk–Dugdale model, simple relations for the critical fracture parameters are derived for opening mode edge cracks for the case where the diameter of the prefracture zone coincides with the diameter of the plasticity zone. These relations are suitable for studying fracture where the crack length is negligibly small. A fracture diagram using critical stresses under both criteria is proposed for a wide range of crack length. At a certain level of loading, three regions are identified, in the first of which the crack is stable, in the second, the crack extends but remains stable, and in the third, the crack is unstable. Experimental data on the fracture of specimens with edge cracks are obtained. It is established that the theoretical critical fracture curves are in good agreement with the obtained critical parameters for flat tensile specimens with two collinear edge cracks.
Keywords:
quasi-brittle and brittle fracture, necessary and sufficient criteria, structured materials, edge crack.
Citation:
V. M. Kornev, A. G. Demeshkin, “Quasi-brittle fracture diagram of structured bodies in the presence of edge cracks”, Prikl. Mekh. Tekh. Fiz., 52:6 (2011), 152–164; J. Appl. Mech. Tech. Phys., 52:6 (2011), 975–985
\Bibitem{KorDem11}
\by V.~M.~Kornev, A.~G.~Demeshkin
\paper Quasi-brittle fracture diagram of structured bodies in the presence of edge cracks
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2011
\vol 52
\issue 6
\pages 152--164
\mathnet{http://mi.mathnet.ru/pmtf1552}
\elib{https://elibrary.ru/item.asp?id=17113101}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2011
\vol 52
\issue 6
\pages 975--985
\crossref{https://doi.org/10.1134/S0021894411060162}
Linking options:
https://www.mathnet.ru/eng/pmtf1552
https://www.mathnet.ru/eng/pmtf/v52/i6/p152
This publication is cited in the following 13 articles:
V. D. Kurguzov, “Simulation of delamination of steel pipes under complex loading”, J. Appl. Mech. Tech. Phys., 64:6 (2024), 1078–1089
V.D. Kurguzov, N.S. Astapov, “Analytical Model of Quasi-Brittle Fracture of a Plate with Crack”, HoBMSTU.SME, 2023, no. 1 (144), 80
V. S. Klyuchantsev, V. D. Kurguzov, A. V. Shutov, “Refined Engineering Theory of Fracture with a Two-Parameter Strength Criterion”, Phys Mesomech, 26:5 (2023), 542
V. D. Kurguzov, “Quasibritle fracture of smooth shafts in torsion”, J. Appl. Mech. Tech. Phys., 63:3 (2022), 542–551
V.D. Kurguzov, N.V. Fedorova, “Criterion for elastoplastic failure of bimetallic plate with edge crack of transverse shear at the boundary of the materials joint”, Comp. Contin. Mech., 14:3 (2021), 333
V. D. Kurguzov, V. M. Kornev, “Simulation of fracture of elastoplastic materials in mode III: from brittle to ductile”, Meccanica, 55:1 (2020), 161
V D Kurguzov, “Quasi-brittle fracture of smooth shafts under torsion (stress-strain-based approach)”, J. Phys.: Conf. Ser., 1666:1 (2020), 012027
Natalia Fedorova, Vladimir Kurguzov, HIGH-ENERGY PROCESSES IN CONDENSED MATTER (HEPCM 2020): Proceedings of the XXVII Conference on High-Energy Processes in Condensed Matter, dedicated to the 90th anniversary of the birth of RI Soloukhin, 2288, HIGH-ENERGY PROCESSES IN CONDENSED MATTER (HEPCM 2020): Proceedings of the XXVII Conference on High-Energy Processes in Condensed Matter, dedicated to the 90th anniversary of the birth of RI Soloukhin, 2020, 030053
Vladimir Kurguzov, Vladimir Kornev, 28TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES, 2216, 28TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES, 2020, 020003
V D Kurguzov, “Simulation of fracture of elasto-platic solids with cracks under conditions of out-of plane deformation”, IOP Conf. Ser.: Earth Environ. Sci., 193 (2018), 012038
V M Kornev, “On catastrophic fracture of steel structures at temperatures lower than cold brittleness threshold”, J. Phys.: Conf. Ser., 894 (2017), 012045
V.M. Kornev, “Damage Accumulation and Fracture of Weld Joints under Low-Cyclic Loading Conditions”, AMM, 784 (2015), 179
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