From simulation to theory in the physics of deformation and fracture

MRS Bulletin

Volumn 25, Issue 5, 2000, Pages 40-45

  Falk, M L ^a   Langer, J S ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CRACKS; DYNAMICS; FAILURE (MECHANICAL); HYSTERESIS; INTERFACIAL ENERGY; MORPHOLOGY; PLASTIC DEFORMATION; STRAIN HARDENING; VISCOPLASTICITY; YIELD STRESS;

NONCRYSTALLINE SOLIDS; SHEAR TRANSFORMATION ZONES;

BRITTLE FRACTURE;

EID: 0034188316     PISSN: 08837694     EISSN: None     Source Type: Journal    
DOI: 10.1557/mrs2000.72     Document Type: Article

References (33)

1. M.L. Falk and J.S. Langer, Phys. Rev. E 57 (1998) p. 7192.
2. M.L. Falk, Phys. Rev. B 60 (1999) p. 7062.
3. Such internal-state variable models of plastic deformation have been used widely in the description of crystal plasticity. The origin of these ideas are attributable to E. Hart, Acta Metall. 18 (1970) p. 599; and J. Rice, in Constitutive Equations in Plasticity, edited by A. Argon (MIT Press, Cambridge, MA, 1975) p. 23. The term "rate-and-state theory" is widely used in the seismological literature and in recent theories of friction. For seismological references, see A. Ruina, J. Geophys. Res. 88 (1983) p. 10359; and J.H. Dieterich and B.D. Kilgore, Pageoph 143 (1994) p. 283. For related work on friction, see J.M. Carlson and A.A. Batista, Phys. Rev. E 53 (1996) p. 4153.
4. Such internal-state variable models of plastic deformation have been used widely in the description of crystal plasticity. The origin of these ideas are attributable to E. Hart, Acta Metall. 18 (1970) p. 599; and J. Rice, in Constitutive Equations in Plasticity, edited by A. Argon (MIT Press, Cambridge, MA, 1975) p. 23. The term "rate-and-state theory" is widely used in the seismological literature and in recent theories of friction. For seismological references, see A. Ruina, J. Geophys. Res. 88 (1983) p. 10359; and J.H. Dieterich and B.D. Kilgore, Pageoph 143 (1994) p. 283. For related work on friction, see J.M. Carlson and A.A. Batista, Phys. Rev. E 53 (1996) p. 4153.
5. Such internal-state variable models of plastic deformation have been used widely in the description of crystal plasticity. The origin of these ideas are attributable to E. Hart, Acta Metall. 18 (1970) p. 599; and J. Rice, in Constitutive Equations in Plasticity, edited by A. Argon (MIT Press, Cambridge, MA, 1975) p. 23. The term "rate-and-state theory" is widely used in the seismological literature and in recent theories of friction. For seismological references, see A. Ruina, J. Geophys. Res. 88 (1983) p. 10359; and J.H. Dieterich and B.D. Kilgore, Pageoph 143 (1994) p. 283. For related work on friction, see J.M. Carlson and A.A. Batista, Phys. Rev. E 53 (1996) p. 4153.
6. Such internal-state variable models of plastic deformation have been used widely in the description of crystal plasticity. The origin of these ideas are attributable to E. Hart, Acta Metall. 18 (1970) p. 599; and J. Rice, in Constitutive Equations in Plasticity, edited by A. Argon (MIT Press, Cambridge, MA, 1975) p. 23. The term "rate-and-state theory" is widely used in the seismological literature and in recent theories of friction. For seismological references, see A. Ruina, J. Geophys. Res. 88 (1983) p. 10359; and J.H. Dieterich and B.D. Kilgore, Pageoph 143 (1994) p. 283. For related work on friction, see J.M. Carlson and A.A. Batista, Phys. Rev. E 53 (1996) p. 4153.
7. Such internal-state variable models of plastic deformation have been used widely in the description of crystal plasticity. The origin of these ideas are attributable to E. Hart, Acta Metall. 18 (1970) p. 599; and J. Rice, in Constitutive Equations in Plasticity, edited by A. Argon (MIT Press, Cambridge, MA, 1975) p. 23. The term "rate-and-state theory" is widely used in the seismological literature and in recent theories of friction. For seismological references, see A. Ruina, J. Geophys. Res. 88 (1983) p. 10359; and J.H. Dieterich and B.D. Kilgore, Pageoph 143 (1994) p. 283. For related work on friction, see J.M. Carlson and A.A. Batista, Phys. Rev. E 53 (1996) p. 4153.
8. J. Lubliner, Plasticity Theory (Macmillan, New York, 1990).
9. R. Hill, The Mathematical Theory of Plasticity (Clarendon Press, Oxford, 1960).
10. In the context of crystalline materials, the effect of interparticle potential on ductility has received significant attention. For specific references, see J.R. Rice and R. Thomson, Philos. Mag. 29 (1974) p. 73; J.R. Rice, J. Mech. Phys. Solids 40 (1992) p. 239; and S.J. Zhou, A.E. Carlsson, and R. Thompson, Phys. Rev. Lett. 72 (1994) p. 852.
11. In the context of crystalline materials, the effect of interparticle potential on ductility has received significant attention. For specific references, see J.R. Rice and R. Thomson, Philos. Mag. 29 (1974) p. 73; J.R. Rice, J. Mech. Phys. Solids 40 (1992) p. 239; and S.J. Zhou, A.E. Carlsson, and R. Thompson, Phys. Rev. Lett. 72 (1994) p. 852.
12. In the context of crystalline materials, the effect of interparticle potential on ductility has received significant attention. For specific references, see J.R. Rice and R. Thomson, Philos. Mag. 29 (1974) p. 73; J.R. Rice, J. Mech. Phys. Solids 40 (1992) p. 239; and S.J. Zhou, A.E. Carlsson, and R. Thompson, Phys. Rev. Lett. 72 (1994) p. 852.
13. D. Srolovitz, V. Vitek, and T. Egami, Acta Metall. 31 (1983) p. 335.
14. S. Kobayashi, K. Maeda, and S. Takeuchi, Acta Metall. 28 (1980) p. 1641.
15. K. Maeda and S. Takeuchi, Philos. Mag. A 44 (1981) p. 643.
16. D. Deng, A. Argon, and S. Yip, Philos. Trans. R. Soc. London, Ser. A 329 (1989) p. 549.
17. F. Spaepen, Acta Metall. 25 (1977) p. 407.
18. A. Argon, Acta Metall. 27 (1979) p. 47.
19. A. Argon and H. Kuo, Mater. Sci. Eng. 39 (1979) p. 101.
20. F. Spaepen and A. Taub, in Physics of Defects, Proc. of the 1981 Les Hauches Summer School, Session XXXV, edited by R. Balian, M. Kleman, and J.-P. Poirier (North-Holland, Amsterdam, 1981) p. 133.
21. A. Argon and L. Shi, Acta Metall. 31 (1983) p. 499.
22. M. Cohen and D. Turnbull, J. Chem. Phys. 31 (1959) p. 1164.
23. D. Turnbull and M. Cohen, J. Chem. Phys. 34 (1961) p. 120.
24. D. Turnbull and M. Cohen, J. Chem. Phys. 52 (1970) p. 3038.
25. J.S. Langer and A.E. Lobkovsky, Phys. Rev. E 58 (1998) p. 1568.
26. J.S. Langer and A.E. Lobkovsky, Phys. Rev. E 60 (1999) p. 6978.
27. L.E. Malvern, Introduction to the Mechanics of a Continuous Medium (Prentice-Hall, Englewood Cliffs, NJ, 1969).
28. M.B.M. Mangion, J.Y. Cavaille, and J. Perez, Philos. Mag. A 66 (1992) p. 773.
29. O.A. Hasan and M.C. Boyce, Polym. Eng. Sci. 35 (1995) p. 331.
30. M. Kobayashi, N. Ohno, and T. Igari, Int. J. Plasticity 14 (1998) p. 373.
31. D. Kuhlmann-Wilsdorf, Mater. Sci. Eng., A 113 (1989) p. 1.
32. C.A. Pampillo, J. Mater. Sci. 10 (1975) p. 1194.
33. V.V. Bulatov and A.S. Argon, Modelling Simul. Mater. Sci. Eng. 2 (1994) p. 167.