Configurational forces and a consititutive theory for crack propagation that allows for kinking and curving

Journal of the Mechanics and Physics of Solids

Volumn 46, Issue 8, 1998, Pages 1343-1378

  Gurtin, Morton E ^a   Podio Guidugli, Paolo ^b  

^a CARNEGIE MELLON UNIVERSITY   (United States)

^b UNIVERSITY OF ROME TOR VERGATA   (Italy)

Author keywords

A. crack propagation and arrest; A. dynamic fracture; A. fracture; B. anisotropic materials

Indexed keywords

CRACK INITIATION; EQUATIONS OF MOTION; FRACTURE; STRAIN; THERMODYNAMICS;

CONSTITUTIVE THEORY; DYNAMIC FRACTURE; SECOND LAW OF THERMODYNAMICS;

CRACK PROPAGATION;

EID: 0032141457     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-5096(98)00002-7     Document Type: Article

References (35)

1. Atkinson, C. and Eshelby, J. D. (1968) International Journal of Fracture 4, 3.
2. Cahn, J. W. and Hoffman, D. W. (1974) Acta Metallurgica 22, 1205.
3. Cotterell, B. (1965) International Journal of Fracture 1, 96.
4. Cotterell, B. and Rice, J. R. (1980) International Journal of Fracture 16, 155.
5. Dascalu, G. and Maugin, G. A. (1993) C. R. Acad. Sci. Paris 11-317, 1135.
6. Eshelby, J. D. (1951) Phil. Trans. A244, 87.
7. Eshelby, J. D. (1956) Progress in Solid State Physics, ed. F. Seitz and D. Turnbull, Vol. 3. Academic, New York.
8. Eshelby, J. D. (1970) Inelastic Behavior of Solids, ed. M. Kanninen, W. Adler, A. Rosenfield and R. Jaffee. McGraw-Hill, New York.
9. Frank, F. C. (1963) Growth and Perfection of Crystals, ed. R. H. Doremus, B. W. Roberts and D. Turnbull. John Wiley, New York.
10. Freund, L. B. (1972) Journal of Elasticity 2, 341.
11. Freund, L. B. (1990) Dynamic Fracture Mechanics. Cambridge University Press.
12. Gjostein, N. A. (1963) Acta Metallurgica 11, 969.
13. Gurtin, M. E. (1993) Thermomechanics of Evolving Phase Boundaries in the Plane. Oxford University Press.
14. Gurtin, M. E. (1995) Arch. Rational Mech. Anal. 131, 67.
15. Gurtin, M. E. (1999) Configurational Forces as Basic Concepts of Continuum Physics, forthcoming.
16. Gurtin, M. E. and Podio-Guidugli, P. (1996) Mech. Phys. Solids 44, 905.
17. Gurtin, M. E. and Struthers, A. (1990) Archive for Rational Mechanics and Analysis 112, 97.
18. Herring, C. (1951a) The Physics of Powder Metallurgy, ed. W. E. Kingston. McGraw-Hill, New York.
19. Herring, C. (1951b) Phys. Rev. 82, 87.
20. Hoffman, D. W. and Cahn, J. W. (1972) Surface Science 31, 368.
21. Hussain, M. A., Pu, S. L. and Underwood, J. (1974) Fracture Analysis. ASTM STP 560, American Society for Testing and Materials.
22. Irwin, G. R. (1948) Fracturing of Metals. Cleveland, American Society of Metals.
23. Lam, P. S. and Freund, L. B. (1985) Journal of the Mechanics and Physics of Solids 33, 153.
24. Le, K. C. (1989a) Advances in Fracture, Vol. 1. Pergamon, Oxford.
25. Le, K. C. (1989b) Brittle Matrix Composites, Vol. 2. Elsevier, New York.
26. Maugin, G. A. (1993) Material Inhomogeneities in Elasticity. Chapman and Hall, London.
27. Maugin, G. A. (1995) Applied Mechanics Review 48, 213.
28. Palaniswamy, K. and Knauss, W. G. (1978) Mechanics Today, ed. S. Nemat-Nasser, Vol. 4. Pergamon, Oxford.
29. Podio-Guidugli, P. (1997) Ann. Mat. Pura Appl. 171, 103.
30. Rice, J. R. (1968) In Fracture, ed. H. Liebowitz, Vol. 2. Academic, New York.
31. Rosakis, A. J., Duffy, J. and Freund, L. B. (1984) Journal of the Mechanics and Physics of Solids 32, 443.
32. Stumpf, H. and Le, K. C. (1990) Acta Mechanica 83, 25.
33. Stumpf, H. and Le, K. C. (1992) Z. angew. Math. Mech. 72, 387.
34. Truesdell, C. A. and Noll, W. (1965) The non-linear field theories of mechanics. In Handbuch der Physik, ed. S. Flugge, Vol. III/3. Springer Verlag, Berlin.
35. Zehnder, A. T. and Rosakis, A. J. (1990) International Journal of Fracture 43, 271.