A percolation model for lifetime variability in polymeric materials under creep conditions

Journal of Applied Physics

Volumn 88, Issue 1, 2000, Pages 76-87

  Zeifman, Michael I ^a   Ingman, Dov ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002540006     PISSN: 00218979     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.373627     Document Type: Article

References (45)

1. S. L. Phoenix and L.-J. Tierney, Eng. Fract. Mech. 18, 193 (1983).
2. E. Altus, Mech. Mater. 11, 271 (1991).
3. D. Krajcinovic, Damage Mechanics (Elsevier, New York, 1996).
4. B. D. Coleman, J. Appl. Phys. 29, 968 (1958).
5. X. Diao, Eng. Fract. Mech. 52, 33 (1995).
6. L. L. Mishnaevsky, Jr., Int. J. Fract. 79, 341 (1996).
7. D. Ingman and L. Reznik, J. Nucl. Sci. Technol. 75, 261 (1986).
8. X.-Z. Li, M. Nakano, Y. Yamauchi, K. Kishida, and K. A. Tanaka, J. Appl. Phys. 83, 3583 (1998).
9. Y. Termonia, P. Meakin, and P. Smith, Macromolecules 18, 2246 (1985).
10. V. A. Petrov, A. Ya. Bashkarev, and V. I. Vettegren, Physical Basis of Durability Forecasting for Engineering Materials (Politekhnika, SanktPetersburg, 1993) (in Russian).
11. E. Suhir, Applied Probability for Engineers and Scientists (McGraw-Hill, New York, 1997).
12. V. R. Regel, A. I. Sluzker, and E. E. Tomashevski, Kinetic Nature of Strength of Solids (Nauka, Moscow, 1974) (in Russian).
13. V. S. Kuksenko and V. P. Tamuz, Fracture Micromechanics of Polymer Materials (Martinus Nijhoff, Dordrecht, 1981).
14. V. V. Panasyuk, A. Ye. Andreykiv, and V. Z. Parton, The Foundation of Fracture Mechanics of Materials (Naukova Dumka, Kiev, 1988), Vol. 1 (in Russian).
15. D. Stauffer, P. M. C. de Oliveira, M. C. Paulo, and A. T. Bernardes, Int. Theor. Appl. Finance 2, 83 (1999).
16. P. Meakin, in Statistical Models for the Fracture of Disordered Media, edited by H. J. Herrman and S. Roux (Elsevier, New York, 1990), p. 291.
17. A. Sharples, in Polymer Science, edited by A. D. Jenkins (North-Holland, Dordrecht, 1972), p. 251.
18. C. J. G. Plummer and H. H. Kausch, Polymer 34, 1972 (1993).
19. D. E. Morel and D. T. Grubb, J. Mater. Sci. Lett. 3, 5 (1984).
20. A. Coniglio, H. E. Stanley, and D. Stauffer, J. Phys. A 12, L323 (1979).
21. E. J. Gumbel, Statistics of Extremes (Columbia University Press, New York, 1958).
22. P. M. Duxbury and P. L. Leath, J. Phys. A 20, L411 (1987).
23. H. Kesten, Percolation Theory for Mathematicians (Birkhäuser, Boston, 1982).
24. H. Kunz and B. Souillard, J. Stat. Phys. 19, 77 (1978).
25. P. M. Duxbury, in Statistical Models for the Fracture of Disordered Media, edited by H. J. Herrmann and S. Roux (Elsevier, New York, 1990), p. 189.
26. P. M. Duxbury, P. L. Leath, and P. D. Beale, Phys. Rev. B 36, 367 (1987).
27. P. M. Duxbury and P. L. Leath, Phys. Rev. B 49, 12676 (1994).
28. K. Kendall, in Physics and Chemistry of Porous Media, edited by D. L. Johnson and P. N. Sen (American Institute of Physics, New York, 1984), p. 78.
29. D. Stauffer and A. Aharony, Introduction to Percolation Theory, 2nd ed. (Taylor and Francis, Washington, 1992).
30. J. Feder, Fractals (Plenum, New York, 1988).
31. A. Margolina and H. J. Herrmann, Phys. Lett. 104A, 295 (1984).
32. H. D. Wagner, P. Schwartz, and S. L. Phoenix, J. Mater. Sci. 21, 1868 (1986).
33. G. P. Cherepanov, A. S. Balankin, and V. S. Ivanova, Eng. Fract. Mech. 51, 997 (1995).
34. P. M. Duxbury, S. G. Kim, and P. L. Leath, Mater. Sci. Eng., A A176, 25 (1994).
35. D. Ingman and L. Reznik, J. Nucl. Eng. Design 70, 209 (1982).
36. D. Ingman and L. Reznik, Nucl. Sci. Eng. 107, 284 (1991).
37. M. I. Zeifman (unpublished).
38. K. C. Kapur and L. R. Lamberson, Reliability in Engineering Design (Wiley, New York, 1978).
39. J. C. Halpin and H. W. Polley, J. Compos. Mater. 1, 64 (1967).
40. H. F. Wu, S. L. Phoenix, and P. Schwartz, J. Mater. Sci. 23, 1851 (1988).
41. W. Nelson, Applied Life Data Analysis (Wiley, New York, 1982).
42. R. M. Christensen and R. E. Glaser, J. Appl. Mech. 52, 1 (1985).
43. S. L. Phoenix and C. C. Kuo, in Advances in Aerospace Structures, Materials and Dynamics, edited by U. Yuceoglu, R. L. Sierakowski, and D. A. Glasgow (ASME, New York, 1983), p. 169.
44. D. Ingman and M. Zeifman, in Proceedings of the 2nd Workshop on Polymer Materials for Microelectronics and Photonics Applications: Mechanics, Physics, Reliability, Processing, edited by E. Suhir, B. Michel, Y. Koike, and J. Lu (ASME, New York, 1999), p. 181.
45. R. E. Wilfong and J. J. Zimmerman, J. Appl. Polym. Sci. 31, 1 (1977).