PSI - Issue 13

Yuri Petrov et al. / Procedia Structural Integrity 13 (2018) 1620–1625 Yuri Petrov/ Structural Integrity Procedia 00 (2018) 000–000 the low rate loading was smaller and an ordinary − curve could be constructed. Rate dependency of the − curve was studied on a hypothetical brittle material using equally shaped specimens. Particular cases of dependence of the − curve on shape of the specimens were investigated using experimental data by Kalthoff (1983). Different curves were numerically obtained for SEN and RDCB specimens, which corresponds to experimental observations. It is proved that the incubation time based approach and the corresponding fracture criterion make it possible to investigate dynamic crack movement for a wide variety of loading conditions – from quasistatic loading to high rate and short pulse loading and whole range of possible − dependences can be obtained within one universal approach. Numerical implementation of the incubation time approach is able to qualitatively account for time and spatial discreetness of the crack propagation process. Only one additional material parameter – incubation time – is used to predict various effects of the dynamic fracture including instabilities related to the − dependence. Acknowledgments The work is supported by the Ministry of Education and Science of the Russian Federation within the FTP for Research and Development for 2014–2020 under the contract No. 14.578.21.0246 (RFMEFI57817X0246), RFBR (17-01 00618). N. Kazarinov acknowledges support from RFBR(16-31-60047) for section 3 creation. References Kanninen M.F., O’Donoghue P., 1995. Research challenges arising from current and potential applications of dynamic fracture mechanics to the integrity of engineering structures. Int. J. Solids Structures 32(17/18), 2423-2445. Broberg K.B. 1964. On the Speed of a Brittle Crack. J. Appl. Mech. 31, 546-547. Kostrov B.V. 1975. Crack propagation at variable velocity. Int J. Fract. 11(1), 47-56. Freund L.B., 1998. Dynamic Fracture Mechanics. Cambridge University Press, Cambridge, pp. 563. Slepyan L.I. 1976. Crack dynamics in an elastic plastic body. Mech. of Solids 11, 126-134. Ravi-Chandar K., Knauss W.G. 1984a. An experimental investigation into dynamic fracture: I. Crack initiation and arrest. Int J Fract 25, 247–262. Ravi-Chandar K., Knauss W.G. 1984b. An experimental investigation into dynamic fracture: II. Microstructural aspects. Int J Fract 26, 65–80. Ravi-Chandar K. Knauss W.G. 1984c. An experimental investigation into dynamic fracture: III. On steady state crack propagation and crack brunching. Int J Fract 26, 141–154. Fineberg J., Gross S.P., Marder M., Swinney H.L., 1992. Instability in Crack Propagation. Physical Review, 45(10), 5146-5154. Rosakis A.J., Duffy J., Freund L.B. 1984. The determination of dynamic fracture toughness of AISI 4340 steel by the shadow spot method. J. Mech. Phys. Solids 32(4), 443-460. Kobayashi T., Dally J.W., 1977. Relation between Crack Velocity and the Stress Intensity Factor in Birefringent Polymers. Fast Fracture and Crack Arrest. ASTM STP 627, 257–273. Griffith A., 1921. The Phenomena of Rapture and Flow in Solids. Philosophical transactions of the Royal Society of London A221, 163-198. Irwin G., 1957. Analysis of Stresses and Strains Near the End of a Crack Traversing a Plate. Journal of Applied Mechanics 24, 361-364. Kalthoff J.F., 1983. On some current problems in experimental fracture dynamics. Workshop on Dynamic Fracture, California Institute of Technology, 11-25. Dally J.W., 1979. Dynamic photoelastic studies of fracture. Experimental Mechanics 19, 349-361. Petrov Y.V., 1991. On "quantum" nature of dynamic failure of brittle media. Dokl Akad Nauk SSSR 321(1), 66-68. Petrov Y.V., Utkin A.A., 1989. Dependence of the dynamic strength on loading rate. Soviet Materials Science 25(2), 153–156. Petrov YV, Morozov NF (1994) On the modeling of fracture of brittle solids. J Appl Mech 61:710–712 Neuber H (1937) Kerbspannunglehre: Grundlagen fur Genaue Spannungsrechnung, Springer-Verlag, Berlin. Novozhilov VV (1969) About the necessary and sufficient brittle strength criterion, Prikl. Mat. Mekh. 33(2):212-222 Bratov V., Petrov Y. 2007. Application of incubation time approach to simulate dynamic crack propagation. Int. J. Fract. 146, 53-60 Kazarinov N.A., Bratov V.A., Petrov Y.V. 2014. Simulation of dynamic crack propagation under quasi-static loading, Doklady Physics 59(2), 99 102 Yu.V. Petrov (1996) QuantumAnalogy in the Mechanics of Fracture of Solids. Physics of the Solid State, 38(11), 1846-1850 1625 6