Multiscale thermoelastic analysis of random heterogeneous materials. Part I: Microstructure characterization and homogenization of material properties

Computational Materials Science

Volumn 48, Issue 1, 2010, Pages 22-38

  Vel, Senthil S ^a   Goupee, Andrew J ^a  

^a University of Maine   (United States)

Author keywords

Asymptotic expansion homogenization; Co continuous composite; Interpenetrating phase composite; Multiscale analysis; Random heterogeneous materials

Indexed keywords

ASYMPTOTIC EXPANSION HOMOGENIZATION; CO-CONTINUOUS COMPOSITES; INTERPENETRATING PHASE COMPOSITES; MULTI SCALE ANALYSIS; RANDOM HETEROGENEOUS MATERIALS;

HOMOGENIZATION METHOD; MATERIALS PROPERTIES; MICROSTRUCTURE; THERMAL CONDUCTIVITY;

ASYMPTOTIC ANALYSIS;

EID: 76449090403     PISSN: 09270256     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.commatsci.2009.11.015     Document Type: Article

References (51)

1. Torquato S. Random Heterogeneous Materials: Microstructure and Macroscopic Properties (2002), Springer-Verlag, New York
2. Mori T., and Tanaka T. Acta Metallurgica 21 (1973) 571-574
3. Benveniste Y. Mechanics of Materials 6 (1987) 147-157
4. Hill R. Journal of the Mechanics and Physics of Solids 13 (1965) 213-222
5. Hashin Z., and Rosen B.W. Journal of Applied Mechanics 31 (1964) 223-232
6. Hashin Z. Journal of the Mechanics and Physics of Solids 13 (1965) 119-134
7. Hill R. Journal of the Mechanics and Physics of Solids 12 (1964) 199-212
8. Hashin Z. Journal of Applied Mechanics - Transactions of the ASME 46 3 (1979) 543-550
9. Rosen B.W., and Hashin Z. International Journal of Engineering Science 8 2 (1970) 157-174
10. Bensoussan A., Lions J.-L., and Papanicolaou G. Asymptotic Analysis for Periodic Structures (1978), North-Holland Publishing Co., Amsterdam
11. Sanchez-Palencia E. The Journal of the Acoustical Society of America 69 3 (1981) 884
12. Sanchez-Palencia E. Asymptotic Analysis II 985 (1983) 192-214
13. Guedes J.M., and Kikuchi N. Computer Methods in Applied Mechanics and Engineering 83 (1990) 143-198
14. Terada K., Hori M., Kyoya T., and Kikuchi N. International Journal of Solids and Structures 37 (2000) 2285-2311
15. Langer S.A., Fuller E., and Carter W.C. Computing in Science and Engineering 3 3 (2001) 15-23
16. van der Sluis O., Schreurs P.J.G., Brekelmans W.A.M., and Meijer H.E.H. Mechanics of Materials 32 (2000) 449-462
17. Torquato S., and Stell G. Journal of Chemical Physics 77 (1982) 2071-2077
18. Torquato S., and Stell G. Journal of Chemical Physics 79 3 (1983) 1505-1510
19. Segurado J., and Llorca J. Journal of the Mechanics and Physics of Solids 50 (2002) 2107-2121
20. Gusev A.A., Hine P.J., and Ward I.M. Composites Science and Technology 60 (2000) 535-541
21. Grujicic M., and Zhang Y. Materials Science and Engineering A251 (1998) 64-76
22. Leggoe J.W., Mammoli A.A., Bush M.B., and Hu X.Z. Acta Materialia 46 17 (1998) 6075-6088
23. Cho J.R., and Ha D.Y. Materials Science and Engineering A302 (2001) 187-196
24. Mishnaevsky Jr. L.L. Materials Science and Engineering A407 (2005) 11-23
25. Kawasaki A., and Watanabe R. Ceramics International 23 (1997) 73-83
26. Takagi K., Li J.-F., Yokoyama S., and Watanabe R. Journal of the European Ceramic Society 23 10 (2003) 1577-1583
27. Jin G., Takeuchi M., Honda S., Nishikawa T., and Awaji H. Materials Chemistry and Physics 89 (2005) 238-243
28. Wegner L.D., and Gibson L.J. International Journal of Mechanical Sciences 43 4 (2001) 1061-1072
29. Wegner L.D., and Gibson L.J. International Journal of Mechanical Sciences 42 5 (2000) 925-942
30. Leßle P., Dong M., and Schmauder S. Computational Materials Science 15 4 (1999) 455-465
31. Feng X.-Q., Tian Z., Liu Y.-H., and Yu S.-W. Applied Composite Materials 11 (2004) 33-55
32. Aldrich D.E., and Fan Z. Materials Characterization 47 (2001) 167-173
33. Miyamoto Y., Kaysser W.A., Rabin B.H., Kawasaki A., and Ford R.G. Functionally Graded Materials: Design, Processing and Applications (1999), Kluwer Academic Publishers, Boston
34. Cho J.R., and Ha D.Y. Computer Methods in Applied Mechanics and Engineering 191 (2002) 3195-3211
35. Goupee A.J., and Vel S.S. Structural and Multidisciplinary Optimization 32 6 (2006) 473-484
36. Pelletier J.L., and Vel S.S. International Journal of Solids and Structures 43 5 (2006) 1131-1158
37. Goupee A.J., and Vel S.S. Materials and Design 28 6 (2007) 1861-1879
38. Cahn J.W. The Journal of Chemical Physics 42 1 (1965) 93-99
39. Roberts A.P., and Teubner M. Physical Review E 51 5 (1995) 4141-4154
40. Roberts A.P., and Knackstedt M.A. Physical Review E 54 3 (1996) 2313-2328
41. Aldrich D.E., Fan Z., and Mummery P. Materials Science and Technology 16 (2000) 747-752
42. Xianfan C., and Shutian L. Acta Mechanica Solida Sinica 19 2 (2006) 95-102
43. del Rio E., Nash J.M., Williams J.C., Breslin M.C., and Daehn G.S. Materials Science and Engineering A 463 (2007) 115-121
44. Cheng J., Lei C., Xiong E., Jiang Y., and Xia Y. Journal of Alloys and Compounds 421 (2006) 146-150
45. Smith P.A., and Torquato S. Journal of Computational Physics 76 (1988) 176-191
46. Prager S. Physics of Fluids 4 (1961) 1477-1482
47. Lee S.B., and Torquato S. Journal of Chemical Physics 91 (1989) 1173-1178
48. Francort G.A. SIAM Journal of Mathematical Analysis 14 (1983) 696-708
49. Brahim-Otsmane S., Francort G., and Murat F. In: Kohn R.V., and Milton G.W. (Eds). Random Media and Composites (1988), SIAM Press, Philadelphia 13-45
50. Nowacki W. Dynamics Problems of Thermoelasticity (1975), Kluwer Academic Publishers
51. Nowinski J.L. Theory of Thermoelasticity with Applications (1978), Sijthoff and Noordhoff International Publishers, Alphen aan den Rijn