The evolution of stress intensity factors and the propagation of cracks in elastic media

Archive for Rational Mechanics and Analysis

Volumn 152, Issue 2, 2000, Pages 103-139

  Friedman, Avner ^a   Hu, Bei ^a   Velazquez, Juan J L ^a  

^a University of Minnesota   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0007212649     PISSN: 00039527     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002050000072     Document Type: Article

References (19)

1. M. AMESTOY & J. B. LEBLOND, 1992, Crack paths in plane situations - II. Detailed form of the expansion of the stress intensity coefficient, Int. J. Solid Structures, 29, 465-501.
2. G. I. BARENBLATT, 1995, Fracture in solids as a free boundary problem, in Free Boundary Problems: Theory and Applications, J. I. DIAZ, M. HERRERO, A. LIÑAN & J.L. VAZQUEZ, editors, pp. 20-39. Pittman Research Notes, Longman Scientific and Technical, Copublished with John Wiley and Sons, New York.
3. G. I. BARENBLATT & G.P. CHEREPANOV, 1961, On the finiteness of stress at the leading edge of an arbitrary crack, J. Appl. Mech., 25, 1112-1115.
4. F. COSTANZO & J. R. WALTON 1997, A study of dynamic crack growth in elastic materials using a cohesive zone model, Int. J. Engnrg. Sci., 35, 1085-1114.
5. B. COTTERELL, 1965, On brittle fracture paths, Int. J. Fracture, 1, 96-103.
6. B. COTTERELL & J. R. RICE, 1980, Slightly curved or kinked cracks, Int. J. Fracture, 16, 155-169.
7. L. B. FREUND, 1990, Dynamic Fracture Mechanics, Cambridge University Press, Cambridge.
8. A. FRIEDMAN, B. HU & J. J. L. VELAZQUEZ, 1998, Asymptotics for the biharmonic equation near the tip of a crack, Indiana Univ. Math. J., 47, 1327-1395.
9. A. FRIEDMAN & Y. LIU, 1996, Propagation of cracks in elastic media, Arch. Rational Mech. Anal., 136, 235-290.
10. A. A. GRIFFITH, 1920, The phenomenon of rupture and flow in solid, Philos. Trans. Royal. Soc. London A, 221, 163-198.
11. P. GRISVARD, 1992, Singularity in Boundary Value Problems, Research Notes in Applied Mathematics. Mason, Paris and Springer-Verlag, Berlin.
12. V. A. KONDRATÉV, 1967, Boundary value problems for elliptic equations in domains with conical or angular points, Trudy Moscovkogo Mat. Obschetsva, 16, 209-292.
13. V. A. KONDRATÉV & O. A. OLEINIK, 1983, Unimprovable estimates in Hölder spaces for generalized solutions of the biharmonic equation, the Navier-Stokes system of equations, and the Von Karman system in non-smooth two-dimensional domains, Vestnik Moskovskogo Universiteta, Matematika, 38, 22-39.
14. B. LAWN, 1993, Fracture of Brittle Solids, second edition, Cambridge University Press, Cambridge.
15. J. B. LEBLOND, 1989, Crack paths in plane situations - I. General forms of the expansion of the stress intensity factors, Int. J. Solid Structures, 25, 1311-1325.
16. K. OHTSUKA (Editor), 1997, Theoretical Studies in Fracture Mechnics in Japan, Hiroshima-Denki Institute of Technology, Hiroshima, Japan
17. J. L. RICE, 1968, Mathematical analysis in mechanics of fracture, in Fracture, Vol. 2, ed. H. LIEBOWITZ, Academic Press, New York, 191-311.
18. L. I. SLEPYAN, 1993, Principle of maximum energy dissipation rate in crack dynamics, J. Mech. Phys. Solids, 41, 1019-1033.
19. H. STUMP & K. C. LE, 1992, Variational formulation of crack problem for an elastoplastic body at finite strain, Z. Angew. Math. Mech., 72, 387-396.