Microstructure functions for a model of statistically inhomogeneous random media

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 55, Issue 2, 1997, Pages 1558-1565

  Quintanilla, J ^a   Torquato, S ^a  

^a Princeton University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CORRELATION METHODS; PROBABILITY DENSITY FUNCTION; VOLUME FRACTION;

FUNCTIONALLY GRADED MATERIALS; LINEAL PATH FUNCTION; MICROSTRUCTURE FUNCTIONS; NEAREST NEIGHBOR FUNCTIONS; POISSON PROCESS; TWO PHASE RANDOM MEDIA;

MICROSTRUCTURE;

EID: 0031078740     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.55.1558     Document Type: Article

References (27)

1. S. Torquato and G. Stell, J. Chem. Phys. 77, 2071 (1982).
2. S. Torquato, J. Stat. Phys.45, 843 (1986).
3. S. Torquato, Appl. Mech. Rev.44, 37 (1991).
4. S. Torquato, Phys. Rev. Lett.74, 2156 (1995).
5. H L. Weissberg and S. Prager, Phys. Fluids13, 2958 (1970).
6. M. Doi, J. Phys. Soc. Jpn.40, 567 (1976).
7. G W. Milton, Phys. Rev. Lett.46, 542 (1981).
8. G W. Milton and N. Phan-Thien, Proc. R. Soc. London Ser. A380, 305 (1982).
9. A K. Sen and S. Torquato, Phys. Rev. B39, 4504 (1989).
10. J. Quintanilla and S. Torquato, J. Appl. Phys.77, 4361 (1995).
11. L W. Gelhar, Stochastic Subsurface Hydrology (Prentice-Hall, Englewood Cliffs, NJ, 1993).
12. J R. Bond, L. Kofman and D. Pogosyan, Nature380, 603 (1996).
13. J. Aboudi, S M. Arnold and M.-J. Pindera, Compos. Eng.4, 1 (1994).
14. N. Cherradi, A. Kawasaki and M. Gasik, Compos. Eng.4, 883 (1994).
15. G J. Dvorak and J. Zuiker, in IUTAM Symposium on Anisotropy, Inhomogeneity and Nonlinearity in Solid Mechanics, edited by D. F. Parker and A. H. England (Kluwer Academic, Netherlands, 1995), p. 103.
16. A J. Markworth, K S. Ramesh and W. P. Parks, Jr., J. Mater. Sci.30, 2183 (1995).
17. J C. Nadeau and M. Ferrari, Compos. Eng.5, 821 (1995).
18. S. Torquato, B. Lu and J. Rubinstein, Phys. Rev. A41, 2059 (1990).
19. B. Lu and S. Torquato, Phys. Rev. A45, 922 (1992).
20. H. Royden, Real Analysis, 3rd ed. (Macmillan, New York, 1988).
21. D. Stoyan, W S. Kendall, and J. Mecke, Stochastic Geometry and Its Applications, 2nd ed. (Wiley, New York, 1995).
22. Y. Fukui, K. Takashima and C B. Ponton, J. Mater. Sci.29, 2281 (1994).
23. J H. Abboud, D. R. F. West and R D. Rawlings, J. Mater. Sci.29, 3393 (1994).
24. B. Lu and S. Torquato, Phys. Rev. A43, 2078 (1991).
25. D A. Coker, S. Torquato and J H. Dunsmuir, J. Geophys. Res.100, 17 497 (1996).
26. M D. Rintoul, Phys. Rev. E54, 2663 (1996).
27. E E. Underwood, Quantitative Stereology (Addison-Wesley, Reading, MA, 1970).