Modeling of two-phase random composite materials by finite element, Mori-Tanaka and strong contrast methods

Composites Part B: Engineering

Volumn 45, Issue 1, 2013, Pages 1117-1125

  Mortazavi, Bohayra ^a,b   Baniassadi, Majid ^a,c   Bardon, Julien ^b   Ahzi, Said ^a,c  

^a UNIVERSITÉ DE STRASBOURG   (France)

^b LUXEMBOURG INSTITUTE OF SCIENCE AND TECHNOLOGY   (Luxembourg)

^c Georgia Institute of Technology   (United States)

Author keywords

Aspect ratio; B. Elasticity; B. Thermal properties; C. Finite element analysis (FEA); C. Micro mechanics

Indexed keywords

C. MICRO-MECHANICS; EFFECTIVE PROPERTY; EFFECTIVE THERMAL CONDUCTIVITY; FINITE ELEMENT; FINITE ELEMENT MODELING; GEOMETRY EFFECTS; MORI TANAKA METHOD; MORI-TANAKA; RANDOM COMPOSITE MATERIALS; STRONG CONTRAST; TWO PHASE COMPOSITES; TWO-POINT CORRELATION FUNCTION;

ASPECT RATIO; COMPOSITE MATERIALS; ELASTIC MODULI; ELASTICITY; FILLERS; GEOMETRY;

FINITE ELEMENT METHOD;

EID: 84869490877     PISSN: 13598368     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compositesb.2012.05.015     Document Type: Article

References (43)

1. K.S. Novoselov, A.K. Geim, S.V. Morozov, D. Jiang, Y. Zhang, and S.V. Dubonos Electric field effect in atomically thin carbon films Science 306 5696 2004 666 669
2. K.S. Novoselov, A.K. Geim, S.V. Morozov, D. Jiang, M.I. Katsnelson, and I.V. Grigorieva Two-dimensional gas of massless Dirac fermions in graphene Nature 438 7065 2005 197 200
3. S. Iijima Helical microtubules of graphitic carbon Nature 354 6348 1991 56 58
4. A.A. Khatibi, and B. Mortazavi A study on the nanoindentation behaviour of single crystal silicon using hybrid MD-FE method Adv Mater Res 32 2008 259
5. B. Mortazavi, A.A. Khatibi, and C. Politis Molecular dynamics investigation of loading rate effects on mechanical-failure behaviour of FCC metals J Comput Theor Nanosci 6 3 2009 644 652
6. Y. Benveniste A new approach to the application of Mori-Tanaka's theory in composite materials Mech Mater 6 2 1987 147 157
7. T. Mori, and K. Tanaka Average stress in matrix and average elastic energy of materials with misfitting inclusions Acta Metall 21 5 1973 571 574
8. J.E. Ashton, J.C. Halpin, and P.H. Petit Primer on composite materials: analysis 1969 Technomic Pub. Co. Stamford (Conn)
9. J.C. Halpin Stiffness and expansion estimates for oriented short fiber composites J Compos Mater 3 4 1969 732 734
10. T.D. Fornes, and D.R. Paul Modeling properties of nylon 6/clay nanocomposites using composite theories Polymer 44 17 2003 4993 5013
11. X. Li, H. Gao, W.A. Scrivens, D. Fei, X. Xu, and M.A. Sutton Reinforcing mechanisms of single-walled carbon nanotube-reinforced polymer composites J Nanosci Nanotechnol 7 7 2007 2309 2317
12. J.-J. Luo, and I.M. Daniel Characterization and modeling of mechanical behavior of polymer/clay nanocomposites Compos Sci Technol 63 11 2003 1607 1616
13. N. Sheng, M.C. Boyce, D.M. Parks, G.C. Rutledge, J.I. Abes, and R.E. Cohen Multiscale micromechanical modeling of polymer/clay nanocomposites and the effective clay particle Polymer 45 2 2004 487 506
14. Q.H. Zeng, A.B. Yu, and G.Q. Lu Multiscale modeling and simulation of polymer nanocomposites Prog Polym Sci 33 2 2008 191 269
15. D. Luo, W.-X. Wang, and Y. Takao Effects of the distribution and geometry of carbon nanotubes on the macroscopic stiffness and microscopic stresses of nanocomposites Compos Sci Technol 67 14 2007 2947 2958
16. M. Baniassadi, B. Mortazavi, H.A. Hamedani, H. Garmestani, S. Ahzi, and M. Fathi-Torbaghan Three-dimensional reconstruction and homogenization of heterogeneous materials using statistical correlation functions and FEM Comput Mater Sci 51 1 2012 372 379
17. F.T. Fisher, R.D. Bradshaw, and L.C. Brinson Fiber waviness in nanotube-reinforced polymer composites - I: modulus predictions using effective nanotube properties Compos Sci Technol 63 11 2003 1689 1703
18. T. Kanit, S. Forest, I. Galliet, V. Mounoury, and D. Jeulin Determination of the size of the representative volume element for random composites: statistical and numerical approach Int J Solids Struct 40 13-14 2003 3647 3679
19. S.-T. Tu, W.-Z. Cai, Y. Yin, and X. Ling Numerical simulation of saturation behavior of physical properties in composites with randomly distributed second-phase J Compos Mater 39 7 2005 617 631
20. R.S. Fertig Iii, and M.R. Garnich Influence of constituent properties and microstructural parameters on the tensile modulus of a polymer/clay nanocomposite Compos Sci Technol 64 16 2004 2577 2588
21. K. Hbaieb, Q.X. Wang, Y.H.J. Chia, and B. Cotterell Modelling stiffness of polymer/clay nanocomposites Polymer 48 3 2007 901 909
22. A. Jafari, A.A. Khatibi, and M.M. Mashhadi Comprehensive investigation on hierarchical multiscale homogenization using representative volume element for piezoelectric nanocomposites Compos B Eng 42 3 2011 553 561
23. B. Mortazavi, J. Bardon, S. Ahzi, A. Ghazavizadeh, Y. Remond, and D. Ruch Atomistic-continuum modeling of the mechanical properties of silica/epoxy nanocomposite J Eng Mater Technol 134 1 2012 010904 10906
24. S. Torquato Random heterogeneous materials: microstructure and macroscopic properties 2002 Springer New York
25. M. Baniassadi, A. Laachachi, F. Hassouna, F. Addiego, R. Muller, and H. Garmestani Mechanical and thermal behavior of nanoclay based polymer nanocomposites using statistical homogenization approach Compos Sci Technol 71 16 2011 1930 1935
26. M. Baniassadi, A. Laachachi, A. Makradi, S. Belouettar, D. Ruch, and R. Muller Statistical continuum theory for the effective conductivity of carbon nanotubes filled polymer composites Thermochim Acta 520 1-2 2011 33 37
27. H.A. Hamedani, M. Baniassadi, M. Khaleel, X. Sun, S. Ahzi, and D. Ruch Microstructure, property and processing relation in gradient porous cathode of solid oxide fuel cells using statistical continuum mechanics J Power Sourc 196 15 2011 6325 6331
28. D.S. Li, G. Saheli, M. Khaleel, and H. Garmestani Quantitative prediction of effective conductivity in anisotropic heterogeneous media using two-point correlation functions Comput Mater Sci 38 1 2006 45 50
29. S. Nikolov, M. Petrov, L. Lymperakis, M. Friák, C. Sachs, and H.-O. Fabritius Revealing the design principles of high-performance biological composites using ab initio and multiscale simulations: the example of lobster cuticle Adv Mater 22 4 2010 519 526
30. B. Mortazavi, J. Bardon, J.A.S. Bomfim, and S. Ahzi A statistical approach for the evaluation of mechanical properties of silica/epoxy nanocomposite: verification by experiments Comput Mater Sci 59 2012 108 113
31. D.T. Fullwood, B.L. Adams, and S.R. Kalidindi A strong contrast homogenization formulation for multi-phase anisotropic materials J Mech Phys Solids 56 6 2008 2287 2297
32. A.K. Sen, and S. Torquato Effective conductivity of anisotropic two-phase composite media Phys Rev B 39 7 1989 4504
33. S. Torquato Effective stiffness tensor of composite media-I. Exact series expansions J Mech Phys Solids 45 9 1997 1421 1448
34. M. Baniassadi, F. Addiego, A. Laachachi, S. Ahzi, H. Garmestani, and F. Hassouna Using SAXS approach to estimate thermal conductivity of polystyrene/zirconia nanocomposite by exploiting strong contrast technique Acta Mater 59 7 2011 2742 2748
35. S. Nogales, and H.J. Böhm Modeling of the thermal conductivity and thermomechanical behavior of diamond reinforced composites Int J Eng Sci 46 6 2008 606 619
36. H. Hill A self-consistent mechanics of composite materials J Mech Phys Solids 13 4 1965 213 222
37. J.D. Eshelby The determination of the elastic field of an ellipsoidal inclusion, and related problems Proc R Soc Lond A 241 1226 1957 376 396
38. H. Hiroshi, and T. Minoru Equivalent inclusion method for steady state heat conduction in composites Int J Eng Sci 24 7 1986 1159 1172
39. G.J. Weng The theoretical connection between Mori-Tanaka's theory and the Hashin-Shtrikman-Walpole bounds Int J Eng Sci 28 11 1990 1111 1120
40. M. Baniassadi, S. Ahzi, H. Garmestani, D. Ruch, and Y. Remond New approximate solution for N-point correlation functions for heterogeneous materials J Mech Phys Solids 60 1 2012 104 119
41. K.M.F. Shahil, and A.A. Balandin Graphene-Multilayer graphene nanocomposites as highly efficient thermal interface materials Nano Lett 12 2 2012 861 867
42. X. Li, H. Gao, W.A. Scrivens, D. Fei, V. Thakur, and M.A. Sutton Structural and mechanical characterization of nanoclay-reinforced agarose nanocomposites Nanotechnology 16 10 2005 2020 2029
43. A. Mikdam, A. Makradi, S. Ahzi, H. Garmestani, D.S. Li, and Y. Remond Effective conductivity in isotropic heterogeneous media using a strong-contrast statistical continuum theory J Mech Phys Solids 57 1 2009 76 86