Homogenization of aligned "fuzzy fiber" composites

International Journal of Solids and Structures

Volumn 48, Issue 19, 2011, Pages 2668-2680

  Chatzigeorgiou, George ^a   Efendiev, Yalchin ^b   Lagoudas, Dimitris C ^a  

^a Texas AandM University   (United States)

^b TEXAS A AND M UNIVERSITY   (United States)

Author keywords

Asymptotic expansion homogenization method; Carbon fibers; Carbon nanotubes

Indexed keywords

ALIGNED CARBON NANOTUBES; ASYMPTOTIC EXPANSION HOMOGENIZATION; CARTESIANS; CO-ORDINATE SYSTEM; EFFECTIVE PROPERTY; MATRIX; NUMERICAL EXAMPLE;

ASYMPTOTIC ANALYSIS; CARBON FIBERS; CARBON NANOTUBES;

HOMOGENIZATION METHOD;

EID: 79960167595     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2011.05.011     Document Type: Article

References (58)

1. A.P. Awasthi, D.C. Lagoudas, and D.C. Hammerand Modeling of graphene-polymer interfacial mechanical behavior using molecular dynamics Modelling and Simulation in Materials Science and Engineering 17 1 2009 015002
2. A. Bensoussan, J. Lions, and G. Papanicolaou Asymptotic Methods for Periodic Structures 1978 North Holland
3. D. Chatterjee Some problems of plane strain in a non-homogeneous isotropic cylinder Pure and Applied Geophysics 82 1 1970 34 40
4. G. Chatzigeorgiou, N. Charalambakis, and F. Murat Homogenization problems of a hollow cylinder made of elastic materials with discontinuous properties International Journal of Solids and Structures 45 2008 5165 5180
5. Chatzigeorgiou, G., Seidel, G.D., Lagoudas, D.C., 2011. Effective mechanical properties of "fuzzy fiber" composites. in preparation.
6. T. Chen, C.-T. Chung, and W.-L. Lin A revisit of a cylindrically anisotropic tube subjected to pressuring, shearing, torsion, extension and a uniform temperature change International Journal of Solids and Structures 37 2000 5143 5159
7. R.M. Christensen Mechanics of Composite Materials 1979 Dover
8. R.M. Christensen, and K. Lo Solutions for effective shear properties in three phase sphere and cylinder models Journal of the Mechanics and Physics of Solids 27 315-330 1979
9. P.W. Chung, K.K. Tamma, and R.R. Namburu Asymptotic expansion homogenization for heterogeneous media: computational issues and applications Composites: Part A 32 2001 1291 1301 (Pubitemid 32832724)
10. CYTEC, 2011. Typical properties for thornel carbon fibers - standard products (bp amoco chemicals). .
11. Y. Efendiev, and T. Hou Multiscale Finite Element Methods Theory and Applications 2009 Springer
12. F.T. Fisher, R.D. Bradshaw, and L.C. Brinson Effects of nanotube waviness on the modulus of nanotube-reinforced polymers Applied Physics Letters 80 24 2002 4647 4649
13. F.T. Fisher, R.D. Bradshaw, and L.C. Brinson Fiber waviness in nanotube-reinforced polymer composites. i: modulus predictions using effective nanotube properties Composites Science and Technology 63 11 2003 1689 1703 (Pubitemid 36914806)
14. Frankland, S., Harik, V., Odegard, G., Brenner, O., Gates, T., 2002. The stress-strain behavior of polymer-nanotube composites from molecular dynamics simulations. Tech. rep., NASA ICASE.
15. S. Frankland, V. Harik, G. Odegard, D. Brenner, and T. Gates The stress-strain behavior of polymer-nanotube composites from molecular dynamics simulation Composites Science and Technology 63 2003 1655 1661 (Pubitemid 36906680)
16. M. Griebel, and J. Hamaekers Molecular dynamics simulations of the elastic moduli of polymer-carbon nanotube composites Computer Methods in Applied Mechanics and Engineering 193 2004 1773 1788 (Pubitemid 38462120)
17. V.G. Hadjiev, D.C. Lagoudas, E.-S. Oh, P. Thakre, D. Davis, B.S. Files, L. Yowell, S. Arepalli, J.L. Bahr, and J.M. Tour Buckling instabilities of octadecylamine functionalized carbon nanotubes embedded in epoxy Composites Science and Technology 66 2006 128 136 (Pubitemid 41644321)
18. A. Haque, and A. Ramasetty Theoretical study of stress transfer in carbon nanotube reinforced polymer matrix composites Composite Structures 71 2005 68 77 (Pubitemid 41283423)
19. Z. Hashin, and B.W. Rosen The elastic moduli of fiber-reinforced materials Journal of Applied Mechanics 31 1964 223 232
20. C. Horgan, and A. Chan The pressurized hollow cylinder or disk problem for functionally graded isotropic linearly elastic materials Journal of Elasticity 55 1 1999 43 59 (Pubitemid 32211055)
21. C. Horgan, and A. Chan The stress response of functionally graded isotropic linearly elastic rotating disks Journal of Elasticity 55 1 1999 219 230 (Pubitemid 30583087)
22. S. Hosseini Kordkheili, and R. Naghdabadi Thermoelastic analysis of a functionally graded rotating disk Composite Structures 79 2007 508 516 (Pubitemid 46351867)
23. S. Iijima Helical microtubules of graphitic carbon Nature 354 1991 56 58 (Pubitemid 21896780)
24. A.L. Kalamkarov, and A.G. Kolpakov Analysis, Design and Optimization of Composite Structures 1997 Wiley
25. K. Lau Interfacial bonding characteristics of nanotube/polymer composites Chemical Physics Letters 370 2003 399 405 (Pubitemid 36280181)
26. S.G. Lekhnitskii The Theory of Elasticity of an Anisotropic Body 1977 Nauka Moscow (in Russian)
27. S.G. Lekhnitskii The Theory of Elasticity of an Anisotropic Body 1981 Mir Publishers (English Translation)
28. Y. Liu, and X. Chen Evaluations of the effective material properties of carbon nanotube-based composites using nanoscale representative volume element Mechanics of Materials 35 2003 69 81 (Pubitemid 35282156)
29. Y.J. Liu, and X.L. Chen Continuum models of carbon nanotube-based composites using the boundary element method Electronic Journal of Boundary Elements 1 2 2003 316 335
30. O. Lourie, and H. Wagner Transmission electron microscopy observations of fracture of single-wall carbon nanotubes under axial tension Applied Physics Letters 73 24 1998 3527 3529 (Pubitemid 128677453)
31. B. McCarthy, J. Coleman, R. Czerw, A. Dalton, M. in het Panhuis, A. Maiti, A. Drury, P. Bernier, J. Nagy, B. Lahr, H. Byrne, D. Carroll, and W. Blau A microscopic and spectroscopic study of interactions between carbon nanotubes and a conjugated polymer Journal of Physical Chemistry B 106 2002 2210 2216 (Pubitemid 35275977)
32. S. Milo, P. Shaffer, and A.H. Windle Fabrication and characterization of carbon nanotube/poly(vinyl alcohol) composites Advanced Materials 11 11 1999 937 941
33. G. Nie, and R. Batra Exact solutions and material tailoring for functionally graded hollow circular cylinders Journal of Elasticity 99 2 2010 179 201
34. G. Nie, and R. Batra Material tailoring and analysis of functionally graded isotropic and incompressible linear elastic hollow cylinders Composite Structures 92 2 2010 265 274
35. G. Nie, and R. Batra Static deformations of functionally graded polar-orthotropic cylinders with elliptical inner and circular outer surfaces Composites Science and Technology 70 2010 450 457
36. G. Odegard, T. Gates, K. Wise, C. Park, and E. Siochi Constitutive modeling of nanotube-reinforced polymer composites Composites Science and Technology 63 11 2003 1671 1687 (Pubitemid 36914805)
37. H. Owhadi, and L. Zhang Metric based up-scaling Communications on Pure and Applied Mathematics LX 2007 06750723
38. A. Peigney, C. Laurent, E. Flahaut, and A. Rousset Carbon nanotubes in novel ceramic matrix nanocomposites Ceramics International 26 2000 677 683
39. V. Popov Carbon nanotubes: properties and applications Materials Science and Engineering R 43 2004 61 102
40. P. Potschke, A.R. Bhattacharyya, and A. Janke Carbon nanotube-filled polycarbonate composites produced by melt mixing and their use in blends with polyethylene Carbon 42 2004 965 969
41. M. Ruhi, A. Angoshtari, and R. Naghdabadi Thermoelastic analysis of thick-walled finite-length cylinders of functionally graded materials Journal of Thermal Stresses 28 2005 391 408 (Pubitemid 40449949)
42. R.J. Sager, P.J. Klein, D.C. Lagoudas, Q. Zhang, J. Liu, L. Dai, and J.W. Baur Effect of carbon nanotubes on the interfacial shear strength of T650 carbon fiber in an epoxy matrix Composites Science and Technology 69 2009 898 904
43. J.-P. Salvetat-Delmotte, and A. Rubio Mechanical properties of carbon nanotubes: a fiber digest for beginners Carbon 40 2002 1729 1734 (Pubitemid 34805975)
44. E. Sanchez-Palencia Non-Homogeneous Media and Vibration Theory Lecture Notes in Physics vol. 127 1978 Springer-Verlag
45. G.D. Seidel, and D.C. Lagoudas Micromechanical analysis of the effective elastic properties of carbon nanotube reinforced composites Mechanics of Materials 38 2006 884 907 (Pubitemid 44268991)
46. P.D. Spanos, and A. Kontsos A multiscale Monte Carlo finite element method for determining mechanical properties of polymer nanocomposites Probabilistic Engineering Mechanics 23 4 2008 456 470
47. A. Star, J. Stoddart, D. Steuerman, M. Diehl, A. Boukai, and E. Wong Preparation and properties of polymer-wrapped single-walled carbon nanotubes Angewandte Chemie International Edition 40 9 2001 1721 1725 (Pubitemid 32441091)
48. J.-Q. Tarn Exact solutions of a piezoelectric circular tube or bar under extension, torsion, pressuring, shearing, uniform electric loading and temperature change Proceedings of the Royal Society of London 458 2002 2349 2367
49. J.-Q. Tarn, and Y.-M. Wang Laminated composite tubes under extension, torsion, bending, shearing and pressuring: a state space approach International Journal of Solids and Structures 38 2001 9053 9075 (Pubitemid 33112406)
50. I. Tsukrov, and B. Drach Elastic deformation of composite cylinders with cylindrically orthotropic layers International Journal of Solids and Structures 47 2010 25 33
51. H. Wagner Nanotube-polymer adhesion: a mechanics approach Chemical Physics Letters 361 1-2 2002 57 61
52. H. Wagner, O. Lourie, Y. Feldman, and R. Tenne Stress-induced fragmentation of multiwall carbon nanotubes in a polymer matrix Applied Physics Letters 72 2 1998 188 190 (Pubitemid 128672255)
53. Z.L. Wang, R.P. Gao, P. Poncharal, W.A. de Heer, Z.R. Dai, and Z.W. Pan Mechanical and electrostatic properties of carbon nanotubes and nanowires Materials Science and Engineering C 16 2001 3 10 (Pubitemid 33038203)
54. Yakobson, B., Smalley, R., 1997. Fullerene nanotubes: C1,000,000 and beyond. American Scientist 85, review of Nanotubes.
55. B.I. Yakobson, M.P. Campbell, C. Brabec, and J. Bernholc High strain rate fracture and c-chain unraveling in carbon nanotubes Computational Materials Science 8 1997 341 348 (Pubitemid 127452021)
56. M.-F. Yu, B.S. Files, S. Arepalli, and R. Ruoff Tensile loading of ropes of single wall carbon nanotubes and their mechanical properties Physical Review Letters 84 24 2000 5552 5555
57. Q. Zhao, and H.D. Wagner Raman spectroscopy of carbon-nanotube-based composites Philosophical Transactions of the Royal Society A 362 2004 2407 2424 (Pubitemid 39518774)
58. J. Zhu, J. Kim, H. Peng, J. Margrave, V. Khabashesku, and E. Barrera Improving the dispersion and integration of single-walled carbon nanotubes in epoxy composites through functionalization Nano Letters 3 8 2003 1107 1113 (Pubitemid 37289305)