Abstract
Dynamic crack growth is analysed numerically for a plane strain double edge cracked specimen subject to symmetric impulsive tensile loading at the two ends. The material behavior is described in terms of an elastic-viscoplastic constitutive model that accounts for ductile fracture by the nucleation and subsequent growth of voids to coalescence. Two populations of second phase particles are represented, including large inclusions or inclusion colonies with low strength, which result in large voids near the crack tip at an early stage, and small second phase particles, which require large strains before cavities nucleate. The crack growth velocities determined here are entirely based on the ductile failure predictions of the material model, and thus the present study is free from ad hoc assumptions regarding appropriate dynamic crack growth criteria. Adiabatic heating due to plastic dissipation and the resulting thermal softening are accounted for in the analyses. Different prescribed impact velocities, inclusion spacings and values of the inclusion nucleation stress are considered. Predictions for the dynamic crack growth behavior and for the time variation of crack tip characterizing parameters are obtained for each case analyzed.
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References
K.B. Broberg, in Recent Progress in Applied Mechanics, K.B. Broberg, J. Hult and F. Niordson (eds.), Wiley, New York (1967) 125–151.
L.B. Freund, Journal of the Mechanics and Physics of Solids 20 (1972) 129–140.
B. Brickstad and F. Nilsson, International Journal of Fracture 16 (1980) 71–84.
J.F. Kalthoff, International Journal of Fracture 27 (1985) 277–298.
J. Ahmad, J. Jung, C.R. Barnes and M.F. Kanninen, Engineering Fracture Mechanics 17 (1983) 235–246.
R. Hoff, C.A. Rubin and G.T. Hahn, Engineering Fracture Mechanics 26 (1987) 445–461.
L.B. Freund and Y.J. Lee, International Journal of Fracture 42 (1990) 261–276.
S. Aoki, K. Kishimoto, A. Takeya and M. Sakata, International Journal of Fracture 28 (1984) 267–278.
N. Aravas and R.M. McMeeking, International Journal of Fracture 29 (1985) 21–38.
A. Needleman and V. Tvergaard, Journal of the Mechanics and Physics of Solids 35 (1987) 151–183.
R. Becker, A. Needleman, S. Suresh, V. Tvergaard, and A.K. Vasudevan, Acta Metallurgica 37 (1989) 99–120.
V. Tvergaard and A. Needleman, Journal of the Mechanics and Physics of Solids 34 (1986) 213–241.
V. Tvergaard and A. Needleman, International Journal of Fracture 37 (1988) 197–215.
A.L. Gurson, Plastic Flow and Fracture Behavior of Ductile Materials Incorporating Void Nucleation, Growth and Interaction, Ph.D thesis, Brown University (1975).
A.L. Gurson, Journal of Engineering Materials and Technology 99 (1977) 2–15.
J. Pan, M. Saje and A. Needleman, International Journal of Fracture 21 (1983) 261–278.
V. Tvergaard, International Journal of Fracture 17 (1981) 389–407.
V. Tvergaard, International Journal of Fracture 18 (1982) 237–252.
V. Tvergaard and A. Needleman, Acta Metallurgica 32 (1984) 157–169.
C.C. Chu and A. Needleman, Journal of Engineering Materials and Technology 102 (1980) 249–256.
G.I. Taylor and H. Quinney, Proceedings of the Royal Society of London A143 (1934) 307–326.
T. Nakamura, C.F. Shih and L.B. Freund, International Journal of Fracture 27 (1985) 229–243.
C.F. Shih, B. Moran and T. Nakamura, International Journal of Fracture 30 (1986) 79–102.
B. Moran and C.F. Shih, Engineering Fracture Mechanics 27 (1987) 615–642.
B. Moran and C.F. Shih, International Journal of Fracture 35 (1987) 295–310.
T. Belytschko, R.L. Chiapetta and H.D. Bartel, International Journal for Numerical Methods in Engineering 10 (1976) 579–596.
R.D. Krieg and S.W. Key, International Journal for Numerical Methods in Engineering 7 (1973) 273–286.
D. Peirce, C.F. Shih and A. Needleman, Computers and Structures 18 (1984) 875–887.
V. Tvergaard, Journal of the Mechanics and Physics of Solids 30 (1982) 399–425.
J.R. Rice, Journal of Applied Mechanics 35 (1968) 379–386.
J. Koplik and A. Needleman, International Journal of Solids and Structures 24 (1988) 835–853.
R. Becker, A. Needleman, O. Richmond and V. Tvergaard, Journal of the Mechanics and Physics of Solids 36 (1988) 317–351.
J.W. Hutchinson, Journal of the Mechanics and Physics of Solids 16 (1968) 13–31.
J.R. Rice and G.F. Rosengren, Journal of the Mechanics and Physics of Solids 16 (1968) 1–12.
K. Cho, J.P. Skelnak and J. Duffy, in Fracture Mechanics: Twenty-First Symposium, ASTM STP 1074, (J.P. Gudas, J.A. Joyce and E.M. Hackett (eds.)), American Society for Testing and Materials, Philadelphia, in press.
R.M. McMeeking, Journal of the Mechanics and Physics of Solids 25 (1977) 357–381.
C.F. Shih, Journal of the Mechanics and Physics of Solids 29 (1981) 305–326.
T. Nakamura, C.F. Shih and L.B. Freund, Engineering Fracture Mechanics 22 (1985) 437–452.
L.S. Costin, J. Duffy and L.B. Freund, in Fast Fracture and Crack Arrest, ASTM STP 627, G.T. Hahn and M.F. Kanninen (eds.), American Society for Testing and Materials, Philadelphia (1977) 301–318.
R.W. Klopp, R.J. Clifton and T.G. Shawki, Mechanics of Materials 4 (1985) 375–385.
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Needleman, A., Tvergaard, V. An analysis of dynamic, ductile crack growth in a double edge cracked specimen. Int J Fract 49, 41–67 (1991). https://doi.org/10.1007/BF00013502
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DOI: https://doi.org/10.1007/BF00013502