Computational methods based on an energy integral in dynamic fracture
Tóm tắt
Developments in the use of the crack tip energy flux integral in computational dynamic fracture mechanics over the past few years are reviewed. An expression for the crack tip energy flux in terms of near tip mechanical fields which is valid for general material response is derived. It is then demonstrated that certain useful energy integrals may be extracted from the general result by invoking the appropriate characterization of material response. Several alternative representations of energy flux in the form of integrals over some finite region around the crack tip are presented and compared with a view toward implementation in finite element simulation studies.
Tài liệu tham khảo
C. Atkinson and J.D. Eshelby, International Journal of Fracture Mechanics 4 (1968) 3–8.
B.V. Kostrov and L.V. Nikitin. Archiwum Mechaniki Stosowanej 22 (1970) 749–775.
L.B. Freund, Journal of Elasticity 2 (1972) 341–349.
L.E. Malvern, Introduction to the Mechanics of a Continuous Medium, Prentice-Hall (1969) 210–211.
J.D. Eshelby, in Inelastic Behavior of Solids, edited by M.F. Kanninen et al. McGraw-Hill (1970) 77–115.
J.R. Willis, The Mechanics and Physics of Fracture, The Metal Society (1975) 57–67.
K. Kishimoto, S. Aoki and M. Sakata, Engineering Fracture Mechanics 13 (1980) 387–394.
S. Aoki, K. Kishimoto and M. Sakata, Engineering Fracture Mechanics 20 (1984) 827–836.
S.N. Atluri, Engineering Fracture Mechanics 16 (1982) 341–364.
T. Nishioka and S.N. Atluri, Engineering Fracture Mechanics 18 (1983) 1–22.
T. Nishioka and S.N. Atluri, Engineering Fracture Mechanics 18 (1983) 23–33.
T. Nishioka and S.N. Atluri, AIAA Journal 12 (1984) 409–414.
L.B. Freund, in Mechanics Today, Vol. III, edited by S. Nemat-Nasser Pergamon (1976) 55–91.
J.W. Hutchinson, Journal of the Mechanics and Physics of Solids 1516 (1968) 13–31.
J.R. Rice and G.F. Rosengren, Journal of the Mechanics and Physics of Solids 16 (1968) 1–12.
J.D. Achenbach and N. Nishimura, “Effect of inertia on finite near tip deformation for fast mode III crack growth”, Journal of Applied Mechanics (to appear).
J.K. Knowles and E. Sternberg, Journal of Elasticity 10 (1980) 81–110.
J.R. Rice, Journal of Applied Mechanics 35 (1968) 379–386.
J.R. Rice, in Proceedings of the 8th US National Congress of applied Mechanics, edited by R.E. Kelley, Western Periodicals, No. Hollywood, CA (1979) 191–216.
J.W. Hutchinson, Journal of Applied Mechanics 50 (1983) 1042–1051.
L.B. Freund and J.W. Hutchinson, “High strain-rate crack growth in rate dependent plastic solids”, Journal of the Mechanics and Physics of Solids (to appear).
ABAQUS, Hibbitt, Karlsson and Sorenson, Inc., Providence, Rhode Island.
H.M. Miller, T.J.R. Hughes and R.L. Taylor, Earthquake Engineering and Structural Dynamics 5 (1972) 129–140.
C.F. Shih and A. Needleman, Journal of Applied Mechanics 51 (1984) 48–56.
T. Nakamura, C.F. Shih and L.B. Freund, “Elastic plastic analysis of a dynamically loaded circumferentially notched round bar”, Engineering Fracture Mechanics (to appear).
L.B. Freund, Journal of the Mechanics and Physics of Solids 21 (1973) 47–61.
L.R. Freund, Journal of the Mechanics and Physics of Solids 20 (1972) 129–140.
R.S. Barsoum, International Journal on Numerical Methods in Engineering 11 (1977) 85–98.
G. Rydholm, B. Fredriksson and F. Nilsson, in Numerical Methods in Fracture Mechanics, edited by A.R. Luxmoore and D.R.J. Owens, University of Swansea, Swansea, Wales (1978) 660–672.
J.F. Malluck and W.W. King, in ASTM STP 711, American Society for Testing and Materials (1980) 38–53.
J.R. Rice, P.C. Paris and J.G. Merkle, in ASTM STP 536, American Society for Testing and Materials (1973) 231–245.