Influence of the inclusions distribution on the effective properties of heterogeneous media

Composites Part B: Engineering

Volumn 34, Issue 7, 2003, Pages 587-592

  Byström, Johan ^a  

^a LULEÅ UNIVERSITY OF TECHNOLOGY   (Sweden)

Author keywords

B. Thermal properties; C. Computational simulation; C. Homogenization; C. Probabilistic methods

Indexed keywords

COMPUTER SIMULATION; HEAT CONDUCTION; VOLUME FRACTION;

RANDOM STRUCTURES;

COMPOSITE MATERIALS;

EID: 0041728749     PISSN: 13598368     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1359-8368(03)00064-7     Document Type: Article

References (17)

1. Bensoussan A., Lions J.L., Papanicolaou G.C. Asymptotic analysis for periodic structures. 1978;North Holland, Amsterdam.
2. Cioranescu D, Donato P. An introduction to homogenization. Oxford Lecture Series in Mathematics and its Applications 17, Oxford; 1999.
3. Jikov V.V., Kozlov S.M., Oleinik O.A. Homogenization of differential operators and integral functionals. 1994;Springer, Berlin.
4. Meidell A., Wall P. Hernández S., Breddia C.A. Homogenization and design of structures with optimal macroscopic behaviour. Computer aided optimum design of structures V. 1997;393-402 Computational Mechanics Publications, Southampton.
5. Byström J., Helsing J., Meidell A. Some computational aspects of iterated structures. Compos, Part B - Engng. 32:(6):2001;485-490.
6. Cheng H., Greengard L. On the numerical evaluation of electrostatic fields in dense random dispersions of cylinders. J Comput Phys. 136:1997;629-639.
7. Cheng H., Greengard L. A method of images for the evaluation of electrostatic fields in systems of closely spaced conducting cylinders. SIAM J Appl Math. 58:(1):1998;122-141.
8. 2 parameter for random suspensions of disks. J Appl Phys. 77:(5):1995;2015-2019.
9. Greengard L., Moura M. On the numerical evaluation of the electrostatic fields in composite materials. Acta Numerica. 1994;Cambridge University Press, Cambridge. p. 379-410.
10. Greengard L., Rokhlin V. A fast algorithm for particle simulations. J Comput Phys. 135:1997;280-292.
11. Helsing J. Thin bridges in isotropic electrostatics. J Comput Phys. 127:1996;142-151.
12. Helsing J. A high-order accurate algorithm for electrostatics of overlapping disks. J Stat Phys. 90:1998;1461-1473.
13. Helsing J. An integral equation method for electrostatics of anisotropic composites. Proc R Soc Lond A Mat. 450:1995;343-350.
14. Gould H., Tobochnik J. An introduction to computer simulation methods. 1996;Addison Wesley, Reading, MA, USA.
15. Metropolis N., Rosenbluth A.W., Rosenbluth M.N., Teller A.H., Teller E. Equation of State Calculations by Fast Computing Machines. J Chem Phys. 21:1953;1087-1092.
16. Torquato S. Random heterogeneous materials. 2002;Springer, New York.
17. Kim I.C., Torquato S. Determination of the effective conductivity of heterogeneous media by Brownian motion simulation. J Appl Phys. 68:(8):1990;3892-3903.