Abstract
This paper provides a summary of recent studies concerning numerical modeling of dynamic crack-propagation, Both “stationary mesh” as well as “moving mesh” finite-element procedures are examined. Simple procedures, using a moving mesh of conventional isoparametric elements in conjunction with certain path-independent integrals for the evaluation of stress-intensity factors for a dynamically propagating crack are presented.
Résumé
Le mémoire fournit des synthèses des études récentes relatives à la modélisation numérique de la propagation de fissures dynamiques. On examine, à la fois, le maillage “stationaire” et le maillage “mobile” utilisés dans les procédures d'éléments finis. On présente des procédures simples utilisant un maillage “mobile” d'éléments conventionnels isoparamétriques utilisé avec certaines intégrales indépendantes du parcours, en vue d'évaluer les facteurs d'intensité de contrainte dans le cas d'une fissure en cours de propagation dynamique.
Similar content being viewed by others
References
G.T. Hahn and M.F. Kanninen, in Fracture, Vol. 1, ICF4, Waterloo (1977) 193–199.
A.S. Kobayashi, Experimental Mechanics 23, No. 3 (1983) 338–347.
S.N. Atluri and T. Nishioka, in Unification of Finite Element Methods. H. Kardestuncer, ed. North-Holland Press (1984) 65–96.
M.F. Kanninen, in Numerical Methods in Fracture Mechanics, D.R.J. Owen and A.R. Luxmoore, eds. Pineridge Press (1978) 612–634.
B.R. Baker, Journal of Applied Mechanics 29 (1962) 449–454.
G.C. Sih, R.S. Ravera and G.T. Embley, International Journal of Solids and Structures 8 (1976) 977–993.
R.J. NuismerJr. and J.D. Achenbach, Journal of the Mechanics and Physics of Solids 20 (1972) 203.
E.P. Chen and G.C. Sih, in Elastodynamic Crack Problems, G.C. Sih, ed. Noordhoff International Publishing (1977) 1–58.
J.R. Rice, in Fracture, Vol. II, H. Liebowitz, ed. Academic Press (1968) 191–311.
L.B. Freund and R.J. Clifton, Journal of Elasticity 4 (1974) 293.
J.D. Achenbach and Z.P. Bazant, Journal of Applied Mechanics 42 (1975) 183
T. Nishioka and S.N. Atluri, Engineering Fracture Mechanics 18 No. 1 (1983) 1–22.
R.B. Freund, Journal of the Mechanics and Physics of Solids 21 (1973) 47–61.
B.V. Kostrov, International Journal of Fracture 12 No. 1 (1975) 47–56.
L.R.F. Rose, International Journal of Fracture 12, No. 6 (1976) 799–813.
S.N. Atluri, Engineering Fracture Mechanics 16, No. 3 (1982) 341–364.
A.S. Kobayashi, A.F. Emery, and S. Mall, Experimental Mechanics 16, No. 9 (1976) 231–328.
Y. Ando, G. Yagawa, and Y. Sakai, Transactions of the 3rd International Conference on SMIRT, London Paper L 7/1 (1975).
P.N.R. Keegstra, Journal of the Institution of Nuclear Engineers 17, No. 4 (1976) 89–96.
P.N.R. Keegstra, J.L. Head and C.E. Turner, in Numerical Methods in Fracture Mechanics, A.R. Luxmoore and D.R.J. Owen, eds. University College Swansea (1978) 634–647.
G. Yagawa, Y. Sakai and Y. Ando, in Fast Fracture and Crack Arrest. G.T. Hahn and M.F. Kanninen, eds. ASTM STP 627 (1977) 109–122.
J.F. Malluck and W.W. King, in Numerical Methods in Fracture Mechanics. A.R. Luxmoore and D.J. Owen, eds. University College Swansea (1978) 648–659.
G. Rydholm, B. Fredriksson, and F. Nilsson, in Numerical Methods in Fracture Mechanics. A.R. Luxmoore and D.R.J. Owen, eds. University College Swansea (1978) 660–672.
A.S. Kobayashi, S. Mall, Y. Urabe, and A.F. Emery, Numerical Methods in Fracture Mechanics, op cit, 673–684.
S. Mall and J. Luz, International Journal of Fracture 16 (1980) R33-R36.
J.F. Malluck and W.W. King, in Crack Arrest Methodology and Applications, G.T. Hahn and M.F. Kanninen, eds. ASTM STP 711 (1980) 38–53.
L. Hodulak, A.S. Kobayashi, and A.F. Emery, in Fracture Mechanics P.C. Paris, ed. ASTM STP 700 (1980) 174–188.
Z. Bazant, J.L. GlazikJr. and J.D. Achenbach, Computers & Structures 8 (1978) 193–198.
J.A. Aberson, J.M. Anderson, and W.W. King, in Fast Fracture and Crack Arrest, op cit, 123–134.
J.A. Aberson, J.M. Anderson, and W.W. King, in Elastodynamic Crack Problems. G.C. Sih, ed. Noordhoff (1977) 249–294.
M.L. Williams, Journal of Applied Mechanics 24, No. 1 (1957) 109–114.
W.W. King and J.F. Malluck, International Journal of Fracture 14 (1978) R7-R11.
C. Patterson and M.C. Oldale, in Stability Problems in Engineering Structures and Components. T.H. Richards and P. Stanley, eds. Applied Science Pub. (1979) 281–296.
C. Patterson and M.C. Oldale, in Advances in Fracture Research 5, ICF5 (1981) 2225–2232.
T. Nishioka, R.B. Stonesifer and S.N. Atluri, Engineering Fracture Mechanics 15, No. 1–2 (1981) 205–218.
S. Aoki, K. Kishimoto, H. Kondo and M. Sakata, International Journal of Fracture 14, No 1 (1978) 59–68.
K. Kishimoto, S. Aoki and M. Sakata, International Journal of Fracture 16, No. 2 (1980) 3–13.
S.N. Atluri, T. Nishioka and M. Nakagaki, in Nonlinear and Dynamic Fracture Mechanics. N. Perrone and S.N. Atluri, eds. ASME AMD Vol. 35 (1979) 37–66.
T. Nishioka and S.N. Atluri, Journal of Applied Mechanics 47 (1980) 570–576 and 577–582.
J.F. Malluck, “Crack Propagation in Finite Bodies”, Ph.D. thesis, Georgia Institute of Technology (1976).
T. Nishioka, R.B. Stonesifer and S.N. Atluri, in Numerical Methods in Fracture Mechanics. D.R.J. Owen and A.R. Luxmoore, eds. Pineridge Press (1980) 489–507.
J.F. Kalthoff, J. Beinert and S. Winkler, in Fast Fracture and Crack Arrest. G.T. Hahn et al., eds. ASTM STP 627 (1977) 161–176.
T. Nishioka and S.N. Atluri, Engineering Fracture Mechanics 16, No. 3 (1982) 303–332.
S.N. Atluri and T. Nishioka, in Advances in Fracture Research 5, ICF5 (1981) 2163–2170.
H.D. Bui, in Fracture 3, ICF4, Waterloo (1979) 91–95.
K. Kishimoto, S. Aoki and M. Sakata, Engineering Fracture Mechanics 13 (1980) 841–850.
K. Kishimoto, S. Aoki and M. Sakata, Engineering Fracture Mechanics 13, No. 2 (1980) 387–394.
G.C. Sih, in Inelastic Behavior of Solids. M.F. Kanninen et al., eds. McGraw-Hill (1970) 607–633.
S.N. Atluri and T. Nishioka, in Fracture Mechanics Technology Applied to Material Evaluation and Structure Design. G.C. Sih et al., eds. Martinus Nijhoff Publishers (1983) 327–340.
T. Nishioka and S.N. Atluri, Engineering Fracture Mechanics 18, No. 1 (1983) 23–33.
T. Nishioka and S.N. Atluri, AIAA Journal 22, No. 3 (1984) 409–414.
K.B. Broberg, Arkiv fur Fysik, Band 18 (1960) 159–192.
H. Ishikawa, H. Kitagawa, and H. Okamura, in Proceedings of Third International Conference of Mechanical Behaviors of Materials 3 (1979) 447–455.
T. Nishioka and S.N. Atluri, “On the Computation of Mixed-Mode K-Factors for a Dynamically Propagating Crack, Using Path-Independent Integrals J‴, Engineering Fracture Mechanics (To appear).
S.N. Atluri and T. Nishioka, “On Path-Independent Integrals in the Mechanics of Elastic, Inelastic, and Dynamic Fracture”; Special Issue in Honor of Prof. G.R. Irwin, Journal of the Aeronautical Society of India, Nov. 1984.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Atluri, S.N., Nishioka, T. Numerical studies in dynamic fracture mechanics. Int J Fract 27, 245–261 (1985). https://doi.org/10.1007/BF00017971
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00017971