Mesoscale conductivity and scaling function in aggregates of cubic, trigonal, hexagonal, and tetragonal crystals

Physical Review B - Condensed Matter and Materials Physics

Volumn 77, Issue 21, 2008, Pages

  Ranganathan, Shivakumar I ^a   Ostoja Starzewski, Martin ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 46049118608     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.77.214308     Document Type: Article

References (22)

1. T. Barratt and H. R. Nettleton International Critical Tables (McGraw-Hill, New York 1929), p. 231.
2. G. W. Milton, The Theory of Composites (Cambridge University Press, Cambridge, 2001).
3. A. Cherkaev, Variational Methods for Structural Optimization (Springer, New York, 2000).
4. M. Ostoja-Starzewski, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.62. 2980 62, 2980 (2000).
5. M. Jiang, I. Jasiuk, and M. Ostoja-Starzewski, Comput. Mater. Sci. CMMSEM 0927-0256 10.1016/S0927-0256(02)00234-3 25, 329 (2002).
6. M. Ostoja-Starzewski and J. Schulte, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.54.278 54, 278 (1996).
7. S. I. Ranganathan and M. Ostoja-Starzewski, J. Mech. Phys. Solids (to be published 2008). 0022-5096
8. R. Hill, J. Mech. Phys. Solids JMPSA8 0022-5096 10.1016/0022-5096(63) 90036-X 11, 357 (1963).
9. M. A. Angadi, T. Watanabe, A. Bodapati, X. Xiao, O. Auciello, J. A. Carlisle, J. A. Eastman, P. Keblinski, P. K. Schelling, and S. R. Phillpot, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.2199974 99, 114301 (2006).
10. C.-W. Nan and R. Birringer, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.57.8264 57, 8264 (1998).
11. Z. Hashin and S. Shtrikman, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.130.129 130, 129 (1963).
12. A. K. Sen and S. Torquato, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.39.4504 39, 4504 (1989).
13. P. D. Chinh, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.61.1068 61, 1068 (2000).
14. P. D. Chinh, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.104205 64, 104205 (2001).
15. M. Avellaneda and O. Bruno, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.528656 31, 2047 (1990).
16. M. Ostoja-Starzewski, Microstructural Randomness and Scaling in Mechanics of Materials (Chapman and Hall, London/ CRC, Boca Raton, 2008).
17. X. Du and M. Ostoja-Starzewski, Proc. R. Soc. London, Ser. A PRLAAZ 0950-1207 10.1098/rspa.2006.1704 462, 2949 (2006).
18. K. Shoemake, in Graphics Gems, edited by, David Kirk, (Academic, London, 1992), Vol. III, p. 124.
19. R. Hill, J. Mech. Phys. Solids JMPSA8 0022-5096 10.1016/0022-5096(67) 90018-X 15, 79 (1967).
20. J. Mandel and P. Dantu, Ann. Ponts Chaussees APCSAZ 0003-4304 113 (2), 115 (1963).
21. J. F. Nye, Physical Properties of Crystals: Their Representation by Tensors and Matrices (Clarendon, Oxford, 1957).
22. L. D. Landau and E. M. Lifshitz, Theory of Elasticity (Pergamon, New York, 1986), Vol. 3, p. 36.