Spring network models in elasticity and fracture of composites and polycrystals

Computational Materials Science

Volumn 7, Issue 1-2, 1996, Pages 82-93

  Ostoja Starzewski, M ^a   Sheng, P Y ^b   Alzebdeh, K ^c  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^b MGA Research Corporation   (United States)

^c Michigan State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALUMINUM; BRITTLENESS; COMPOSITE MATERIALS; CRACK INITIATION; ELASTICITY; FRACTURE; INCLUSIONS; POLYCRYSTALS; SHEET METAL;

ANTI PLANE ELASTICITY; PLANAR CLASSICAL ELASTICITY; PLANAR MICROPOLAR ELASTICITY; SPRING NETWORK MODELS;

MATHEMATICAL MODELS;

EID: 0030407919     PISSN: 09270256     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0927-0256(96)00064-x     Document Type: Article

References (30)

1. M. Sahimi and J.D. Goddard, Phys. Rev. B 33 (1986) 7848.
2. B. Khang, G.G. Batrouni, S. Redner, L. de Arcangelis and H.J. Herrmann, Phys. Rev. B 37 (1988) 7625-7637.
3. H.J. Herrmann and S. Roux, eds., Statistical Models for the Fracture of Disordered Media (Elsevier Science Publishers, 1990).
4. A. Delaplaece, G. Pijaudier-Cabot and S. Roux, J. Mech. Phys. Solids 44 (1996) 99-136.
5. S. Torquato, Appl. Mech. Rev. 44 (1991) 37-76.
6. P.Y. Sheng, Ph.D. thesis, Michigan State University (1995).
7. M. Grah, K. Alzebdeh, P.Y. Sheng, M.D. Vaudin, K.J. Bowman and M. Ostoja-Starzewski, Acta Mater. 40 (1996) 4003-4018.
8. J.G. Kirkwood, J. Chem. Phys. 7 (1939) 506-509.
9. P.N. Keating, Phys. Rev. 145 (1966) 637-645.
10. A.R. Day, K.A. Snyder, E.J. Garboczi and M.E. Thorpe, J. Mech. Phys. Solids 40 (1992) 1031-1051.
11. K.A. Snyder, E.J. Garboczi and A.R. Day, J. Appl. Phys. 72 (1992) 5948-5955.
12. J. Holnicki-Szulc and D. Rogula, Arch. Mech. 31(6) (1979) 793-802.
13. K. Berglund, in: Mechanics of Micropolar Media, eds. O. Brulin and R.K.T. Hsieh (World Scientific, 1982) pp. 35-86.
14. A. Askar, Lattice Dynamical Foundations of Continuum Theories (World Scientific, 1985).
15. C. Woźniak, Surface Lattice Structures (PWN-Polish Sci. Publ., 1970) (in Polish).
16. W.H. Press, W.T. Vetterling, S.A. Teukolsky and B.P. Flannery, Numerical Recipes (Cambridge University Press, 1990).
17. M. Ostoja-Starzewski, P.Y. Sheng and I. Jasiuk, ASME J. Eng. Mater. Tech. 116 (1994) 384-391.
18. M. Ostoja-Starzewski, P.Y. Sheng and I. Jasiuk, Eng. Fract. Mech. (1996), to be published.
19. P.M. Duxbury, P.D. Beale and C. Moukarzel, Phys. Rev. B 51 (1995) 3476-3488.
20. M. Ostoja-Starzewski, Appl. Mech. Rev. 47(1, Part 2) (1994) S221-S230.
21. S. Schmauder, ed., Comp. Mater. Sci. 4(1993), special issue.
22. T. Belytschko, Y.Y. Lu and L. Gu, Eng. Fract. Mech. 51 (1995) 295-315.
23. A. Jagota and S.J. Bennison, in: Breakdown and Non-linearity in Soft Condensed Matter, eds. K.K. Bardhart, B.K. Chakrabarti and A. Hansen (Springer-Verlag, 1993).
24. A. Jagota and S.J. Bennison, Modell. Simul. Mater. Sci. Eng. 3 (1995) 485-501.
25. S. Plimpton, Comp. Mater. Sci. 4 (1995) 361-364.
26. M.E. Thorpe and I. Jasiuk, Proc. R. Soc. London A 438 (1992) 531-544.
27. A.V. Cherkaev, K.A. Lufie and G.W. Milton, Proc. R. Soc. London A 438 (1992) 519-529.
28. J. Dundurs and X. Markenscoff, Proc. R. Soc. London A 443 (1993) 289-300.
29. M. Ostoja-Starzewski and I. Jasiuk, Proc. R. Soc. London A 451 (1995) 453-470. M. Ostoja-Starzewski and J. Schulte, Phys. Rev. B 54 (1996) 278-285.
30. M. Ostoja-Starzewski and I. Jasiuk, Proc. R. Soc. London A 451 (1995) 453-470. M. Ostoja-Starzewski and J. Schulte, Phys. Rev. B 54 (1996) 278-285.