Multiscale mass-spring models of carbon nanotube foams

Journal of the Mechanics and Physics of Solids

Volumn 59, Issue 1, 2011, Pages 89-102

  Fraternali, F ^a,b   Blesgen, T ^c   Amendola, A ^a   Daraio, C ^d  

^a UNIVERSITY OF SALERNO   (Italy)

^b KING'S COLLEGE LONDON   (United Kingdom)

^c MAX PLANCK INSTITUTE FOR MATHEMATICS IN THE SCIENCES   (Germany)

^d CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Bi stable springs; Carbon nanotube foams; Hysteresis; Multiscale behavior; Strain localization

Indexed keywords

ANALYTIC APPROACH; BISTABLES; BUCKLING REGIME; COMPRESSIVE LOADING; COMPRESSIVE RESPONSE; CONTINUUM LIMITS; CYCLIC LOADINGS; DISCRETE MODELS; DISSIPATIVE ELEMENTS; FOAM THICKNESS; MASS-SPRING MODELS; MESOSCOPICS; MICRO-MECHANICAL; MULTI-SCALE APPROACHES; MULTISCALES; NON-HOMOGENEOUS; NONUNIFORM; NUMERICAL APPROXIMATIONS; SCALE MODELS; SPRING CHAINS; STRAIN LOCALIZATION; UNLOADING PATHS; VERTICALLY ALIGNED;

BUCKLING; CARBON NANOTUBES; HYSTERESIS; MECHANICAL PROPERTIES; SUPERCONDUCTING MATERIALS; UNLOADING;

FOAMS;

EID: 78249265031     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2010.09.004     Document Type: Article

References (46)

1. M. Arroyo, and T. Belytschko A finite deformation membrane based on inter-atomic potentials for the transverse mechanics of nanotubes Mech. Mater. 35 23 2003 193 215
2. T. Belytschko, S.P. Xiao, G.C. Schatz, and R.S. Ruoff Atomistic simulations of nanotube fracture Phys. Rev. B 65 2002 235430
3. T. Blesgen On the competition of elastic energy and surface energy in discrete numerical schemes Adv. Comput. Math. 27 2 2007 179 194
4. A. Braides, and M. Cicalese Surface energies in nonconvex discrete systems Math. Mod. Mrth. Appl. Sci. 17 7 2007 985 1037
5. A. Cao, P.L. Dickrell, W.G. Sawyer, M.N. Ghasemi-Nejhad, and P.M. Ajayan Super-compressible foamlike carbon nanotube films Science 310 2005 1307 1310
6. G. Cao, and X. Chen Buckling of single-walled carbon nanotubes upon bending: molecular dynamics simulations and finite element method Phys. Rev. B 73 2006 155435
7. S.-P. Chan, W.-L. Yim, X.G. Gong, and Z.F. Liu Carbon nanotube bundles under high pressure: transformation to low-symmetry structures Phys. Rev. B 68 2003 075404
8. M. Charlotte, and L. Truskinovsky Linear elastic chain with a hyper-pre-stress J. Mech. Phys. Solids 50 2 2002 217 251
9. M. Charlotte, and L. Truskinovsky Towards multi-scale continuum elasticity theory Cont. Mech. Therm. 20 3 2008 133 161
10. S.A. Chesnokov, V.A. Nalimova, A.G. Rinzler, R.E. Smalley, and J.E. Fisher Mechanical energy storage in carbon nanotube springs Phys. Rev. Lett. 82 2 1999 343 346
11. C. Daraio, V.F. Nesterenko, J.F. Aubuchon, and S. Jin Dynamic nano-fragmentation of carbon nanotubes Nano Lett. 4 10 2004 1915 1918
12. C. Daraio, V.F. Nesterenko, and S. Jin Highly nonlinear contact interaction and dynamic energy dissipation by forest of carbon nanotubes Appl. Phys. Lett. 85 23 2004 5724 5727
13. C. Daraio, V.F. Nesterenko, S. Jin, W. Wang, and A.M. Rao Impact response by a foamlike forest of coiled carbon nanotubes J. Appl. Phys. 100 6 2006 064309 064309-4
14. C.P. Deck, J. Flowers, G.S.B. McKee, and K. Vecchio Mechanical behavior of ultralong multiwalled carbon nanotube mats J. Appl. Phys. 101 2 2007 023512 023512-9
15. C.P. Deck, and K.S. Vecchio Growth of well-aligned carbon nanotube structures in successive layers J. Phys. Chem. B 109 25 2005 12353 12357
16. T. El Sayed, A. Mota, F. Fraternali, and M. Ortiz A variational constitutive model for soft biological tissues J. Biomech. 41 7 2008 1458 1466
17. M.R. Falvo, G.J. Clary, R.M. Taylor, V. Chi, F.P. Brooks Jr., S. Washburn, and R. Superfine Bending and buckling of carbon nanotubes under large strain Nature 389 1997 582 584
18. F. Fraternali, M.A. Porter, and C. Daraio Optimal design of composite granular protectors Mech. Adv. Mater. Struct. 17 1 2010 1 19
19. L.J. Gibson, and M.F. Ashby Cellular Solids: Structure and Properties 1998 Pergamon Press Oxford
20. S.B. Hutchens, L.J. Hall, and J.R. Greer In situ mechanical testing reveals periodic buckle nucleation and propagation in carbon nanotube bundles Adv. Funct. Mater. 20 14 2010 2338 2346
21. S. Iijima Helical microtubules of graphitic carbon Nature 354 1991 56 58
22. S. Iijima, C. Brabec, A. Maiti, and J. Bernholc Structural flexibility of carbon nanotubes J. Chem. Phys. 104 5 1995 2089 2092 (Pubitemid 126747318)
23. J.Z. Liu, Q.-S. Zheng, L.-F. Wang, and Q. Jiang Mechanical properties of single-walled carbon nanotube bundles as bulk materials J. Mech. Phys. Solids 53 1 2005 123 142
24. Y. Liu, W. Qian, Q. Zhang, A. Cao, Z. Li, W. Zhou, Y. Ma, and F. Wei Hierarchical agglomerates of carbon nanotubes as high-pressure cushions Nano Lett. 8 5 2008 1323 1327
25. V. Maheshwari, and R. Saraf Tactile devices to sense touch on a par with a human finger Angew. Chem.-Int. Ed. 47 41 2008 7808 7826
26. M. Majumder, N. Chopra, R. Andrews, and B.J. Hinds Enhanced flow in carbon nanotubes Nature 438 44 2005 Angewandte Chemie-International Edition 47(41), 78087826
27. S.Dj. Mesarovic, C.M. McCarter, D.F. Bahr, H. Radhakrishnan, R.F. Richards, C.D. Richards, D. McClain, and J. Jiao Mechanical behavior of a carbon nanotube turf Scripta Mater. 56 2 2007 157 160
28. A. Misra, J.R. Greer, and C. Daraio Strain rate effects in the mechanical response of polymer-anchored carbon nanotube foams Adv. Mater. 21 3 2009 334 338
29. V.F. Nesterenko Dynamics of Heterogeneous Materials 2001 Springer-Verlag NY
30. A. Oberlin, M. Endo, and T. Koyama Filamentous growth of carbon through benzene decomposition J. Cryst. Grow. 32 3 1976 335 349
31. M. Ortiz Plastic yielding as a phase transition J. Appl. Mech. 66 1999 289 298
32. G. Pampolini, and G. Del Piero Strain localization in open-cell polyurethane foams: experiments and theoretical model J. Mech. Mater. Struct. 3 5 2008 969 981
33. A. Pantano, D.M. Parks, and M.C. Boyce Mechanics of deformation of single- and multi-wall carbon nanotubes J. Mech. Phys. Solids 52 4 2004 789 821
34. M.J. Peters, L.E. McNeil, J.P. Lu, and D. Kahn Structural phase transition in carbon nanotubes bundles under pressure Phys. Rev. B 61 9 2000 5939 5944
35. G. Puglisi, and L. Truskinovsky Mechanics of a discrete chain with bi-stable elements J. Mech. Phys. Solids 48 1 2000 1 27
36. G. Puglisi, and L. Truskinovsky Rate independent hysteresis in a bi-stable chain J. Mech. Phys. Solids 50 2 2002 165 187
37. G. Puglisi, and L. Truskinovsky Thermodynamics of rate independent plasticity J. Mech. Phys. Solids 53 3 2005 655 679
38. H.J. Qi, K.B.K. Teo, K.K.S. Lau, M.C. Boyce, W.I. Milne, J. Robertson, and K.K. Gleason Determination of mechanical properties of carbon nanotubes and vertically aligned carbon nanotube forests using nanoindentation J. Mech. Phys. Solids 51 1112 2003 2213 2237
39. L.V. Radushkevich, and V.M. Lukyanovich O strukture ugleroda, obrazujucegosja pri termiceskom razlozenii okisi ugleroda na zeleznom kontakte (About the structure of carbon formed by thermal decomposition of carbon monoxide on iron substrate) Zurn. Fisic. Chim 26 1952 88 95
40. J. Suhr, P. Victor, L. Ci, S. Sreekala, X. Zhang, O. Nalamasu, and P.M. Ajayan Fatigue resistance of aligned carbon nanotube arrays under cyclic compression Nat. Nanotechnol. 2 2007 417 421 (Pubitemid 47035620)
41. E.H.T. Teo, W.K.P. Yung, D.H.C. Chua, and B.K. Tay A carbon nanomattress: a new nanosystem with intrinsic, tunable, damping properties Adv. Mater. 19 19 2007 2941 2945
42. T. Tong, Y. Zhao, L. Delzeit, A. Kashani, M. Meyyappan, and A. Majumdar Height independent compressive modulus of vertically aligned carbon nanotube arrays Nano Lett. 8 2 2008 511 515
43. V.P. Veedu, A. Cao, X. Li, K. Ma, C. Soldano, S. Kar, P.M. Ajayan, and M.N. Ghasemi-Nejhad Multifunctional composites using reinforced laminae with carbon-nanotube forests Nat. Mater. 5 2006 457 462
44. B.I. Yakobson, C.J. Brabec, and J. Bernholc Nanomechanics of carbon tubes: Instabilities beyond linear response Phys. Rev. Lett. 76 14 1996 2511 2514
45. A.A. Zbib, S. DjMesarovic, E.T. Lilleodden, D. McClain, J. Jiao, and D.F. Bahr The coordinated buckling of carbon nanotube turfs under uniform compression Nanotechnology 19 17 2008 175704
46. Q. Zhang, M. Zhao, Y. Liu, A. Cao, W. Qian, Y. Lu, and F. Wei Energy-absorbing hybrid composites based on alternate carbon-nanotube and inorganic layers Adv. Mater. 21 28 2009 2876 2880