Modelling microstructure effects on the conduction in fibrous materials with fibre-fibre interface barriers

Modelling and Simulation in Materials Science and Engineering

Volumn 16, Issue 3, 2008, Pages

  Vassal, J P ^a   Orgeas L ^a   Favier, D ^a  

^a UNIV GRENOBLE ALPES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ASPECT RATIO; FIBERS; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD;

FIBRE-FIBRE INTERFACE BARRIERS; FIBROUS MATERIALS;

MICROSTRUCTURE;

EID: 42549160408     PISSN: 09650393     EISSN: 1361651X     Source Type: Journal    
DOI: 10.1088/0965-0393/16/3/035007     Document Type: Article

References (53)

1. Danes F, Garnier B and Dupuis T 2003 Int. J. Thermophys. 24 771
2. Keith J, Hingst C, Miller M, King J and Hauser R 2006 Polym. Compos. 27 388
3. Taipalus R, Harmia T, Zhang M and Friedrich K 2001 Compos. Sci. Technol. 61 801
4. Wang C-W, Cook K A and Sastry A M 2003 J. Electrochem. Soc. 150 385
5. Danes F, Garnier B, Dupuis T, Lerendu P and Nguyen T-P 2005 Compos. Sci. Technol. 65 945
6. Dalmas F, Dendievel R, Chazeau L, Cavaillé J-Y and Gauthier C 2006 Acta Mater. 54 2923
7. Kim Y, Hayashi T, Endo M, Gotoh Y, Wada N and Seiyama J 2006 Scr. Mater. 54 31
8. Agari Y, Ueda A and Nagai S 1991 J. Appl. Polym. Sci. 43 1117
9. Kaviany M 1991 Principles of Heat Transfer in Porous Media (New York: Springer)
10. Torquato S 2001 Random Heterogeneous Materials (New York: Springer)
11. Milton G 2002 The Theory of Composites (Cambridge: Cambridge University Press)
12. Sahimi M 2003 Heterogeneous Materials vol 1 and 2 (New York: Springer)
13. Mawxell J-C 1954 A Treatise on Electricity and Magnetism 3rd edn (New York: Dover) p 1891
14. Hashin Z and Shtrikman S 1962 J. Appl. Phys. 33 3125
15. Willis J 1977 J. Mech. Phys. Solids 25 185
16. Kim I and Torquato S 1993 J. Appl. Phys. 74 1844
17. Rocha A and Acrivos A 1973 Q. J. Mech. Appl. Math. 26 441
18. Batchelor G K 1974 Annu. Rev. Fluid Mech. 6 227
19. Shaqfeh E S G and Koch D L 1988 Phys. Fluids 31 728
20. Mackaplow M B, Shaqfeh E S G and Schiek R L 1994 Proc. R. Soc. Lond. A 447 77
21. Sundararajakumar R R and Koch D L 1997 J. Non-Newtonian Fluid Mech. 73 205
22. Batchelor G, O'Brien F and O'Brien R 1977 Proc. R. Soc. Lond. A 355 313
23. Cheng G, Yu A and Zulli P 1999 Chem. Eng. Sci. 54 4199
24. Cheng X and Sastry A 1999 Mech. Mater. 31 765
25. Flandin L, Verdier M, Boutherin B, Brechet Y and Cavaillé J-Y 1999 J. Polym. Sci. B 37 805
26. Cheng X, Sastry A M and Layton B E 2001 ASME J. Eng. Mater. Technol. 123 12
27. Faessel M, Delisée C, Bos F and Castéra P 2005 Compos. Sci. Technol. 65 1931
28. Broadbent S and Hammersley J 1957 Proc. Camb. Phil. Soc. 53 629
29. Kirkpatrick S 1973 Rev. Mod. Phys. 45 574
30. Balberg I, Anderson C, Alexander S and Wagner N 1984 Phys. Rev. B 30 3933
31. Berhan L and Sastry A 2007 Phys. Rev. E 75 041120
32. Berhan L and Sastry A 2007 Phys. Rev. E 75 041121
33. Nielsen L 1974 Indust. Eng. Chem. Fundam. 13 17
34. Agari Y, Ueda A and Nagai S 1993 J. Appl. Polym. Sci. 49 1625
35. Weber M and Kamal M 1997 Polym. Compos. 18 711
36. Vassal J-P, Orgéas L, Favier D, Auriault J-L and Le Corre S 2008 Phys. Rev. E 77 011302
37. Vassal J-P, Orgéas L, Favier D, Auriault J-L and Le Corre S 2008 Phys. Rev. E 77 011303
38. Bensoussan A, Lions J-L and Papanicolaou G 1978 Asymptotic Analysis for Periodic Structures (Amsterdam: North-Holland)
39. Sanchez-Palencia E 1980 Non-Homogeneous Media and Vibration Theory (Lecture Notes in Physics) (Berlin: Springer)
40. Auriault J-L 1991 Int. J. Eng. Sci. 29 785
41. Comsol Multiphysics Modeling www.comsol.fr/
42. Le Corre S, Dumont P, Orgéas L and Favier D 2005 J. Rheol. 49 1029
43. Berhan L and Sastry A 2003 J. Compos. Mater. 37 715
44. Advani S G and Tucker C L 1987 J. Rheol. 3 751
45. Le Corre S, Caillerie D, Orgéas L and Favier D 2004 J. Mech. Phys. Solids 52 395
46. Nan C 1993 Prog. Mater. Sci. 37 111
47. Yagushi Y, Hojo H, Lee D G and Kim E G 1995 Int. Polym. Process. 3 262
48. Vincent M, Giroud T, Clarke A and Eberhardt C 2005 Polymer 46 6719
49. Dumont P, Vassal J-P, Orgéas L, Michaud V, Favier D and Mnson J-E 2007 Rheol. Acta 46 639
50. Le T, Dumont P, Orgéas L, Favier D, Salvo L and Boller E 2008 Compos. Part A 39 91
51. Doi M and Edwards S F 1978 J. Chem. Soc. Faraday Trans. II 74 560
52. Ranganathan S and Advani S G 1991 J. Rheol. 35 1499
53. Toll S 1993 J. Rheol. 37 123