Analysis of nano-reinforced layered plates via classical and refined two-dimensional theories

Multidiscipline Modeling in Materials and Structures

Volumn 8, Issue 1, 2012, Pages 4-31

  Brischetto, Salvatore ^a   Carrera, Erasmo ^a  

^a POLITECNICO DI TORINO   (Italy)

Author keywords

Carbon nanotubes; Carrera Unified Formulation; Clays; Mixed layer wise model; Nanocomposites; Nanoscale reinforcement; Plate structures

Indexed keywords

BENEFICIAL EFFECTS; CLASSICAL LAMINATION THEORY; CLASSICAL THEORY; CLOSED FORM; DESIGN/METHODOLOGY/APPROACH; DISPLACEMENTS AND STRESS; ELASTIC PROPERTIES; FIRST-ORDER SHEAR DEFORMATION THEORY; GOVERNING EQUATIONS; HIGH ASPECT RATIO; LAYER-WISE; LAYERED PLATES; MACROSCALE PROPERTIES; MIXED LAYER; MIXED MODELS; NANO SCALE; NANO-REINFORCEMENTS; NANOCOMPOSITE PLATES; NON-SPHERICAL; PLATE STRUCTURE; POLYMERIC MATRICES; SANDWICH PLATES; SILICON FOAM; SIMPLY SUPPORTED; STATIC RESPONSE; THERMOPLASTIC POLYMER; TRANSVERSE STRESS; TWO DIMENSIONAL MODEL; TWO-DIMENSIONAL THEORY; UNIFIED FORMULATIONS; YOUNG MODULUS;

ASPECT RATIO; CARBON FIBERS; CARBON NANOTUBES; CLAY; ELASTICITY; NANOCOMPOSITES; NANOTECHNOLOGY; POLYMERS; REINFORCEMENT; STATIC ANALYSIS; TWO DIMENSIONAL;

PLATES (STRUCTURAL COMPONENTS);

EID: 84863840556     PISSN: 15736105     EISSN: 15736113     Source Type: Journal    
DOI: 10.1108/15736101211235958     Document Type: Article

References (35)

1. Carrera, E. (2001), “Developments, ideas and evaluation based upon Reissner's mixed variational theorem in the modelling of multilayered plates and shells”, Applied Mechanics Reviews, Vol. 54, pp. 301-29.
2. Carrera, E. (2003), “Theories and finite elements for multilayered plates and shells: a unified compact formulation with numerical assessment and benchmarking”, Archives of Computational Methods in Engineering, Vol. 10, pp. 215-96.
3. Carrera, E. and Brischetto, S. (2008), “Analysis of thickness locking in classical, refined and mixed multilayered plate theories”, Composite Structures, Vol. 82, pp. 549-62.
4. Carrera, E. and Brischetto, S. (2009), “A survey with numerical assessment of classical and refined theories for the analysis of sandwich plates”, Applied Mechanics Reviews, Vol. 62, pp. 1-17.
5. Chen, Z.-K., Yang, J.-P., Ni, Q.-Q., Fu, S.-Y. and Huang, Y.-G. (2009), “Reinforcement of epoxy resins with multi-walled carbon nanotubes for enhancing cryogenic mechanical properties”, Polymer, Vol. 50, pp. 4753-9.
6. Coleman, J.N., Khan, U. and Gun'ko, Y.K. (2006), “Mechanical reinforcement of polymers using carbon nanotubes”, Advanced Materials, Vol. 18, pp. 689-706.
7. Das, I. and Ansari, S.A. (2009), “Nanomaterials in science and technology”, Journal of Scientific & Industrial Research, Vol. 68, pp. 657-67.
8. Frankland, S.J.V., Caglar, A., Brenner, D.W. and Griebel, M. (2002), “Molecular simulation of the influence of chemical cross-links on the shear strength of carbon nanotube-polymer interfaces”, Journal of Physical Chemistry B, Vol. 106, pp. 3046-8.
9. Hbaieb, K., Wang, Q.X., Chia, Y.H.J. and Cotterell, B. (2007), “Modelling stiffness of polymer/clay nanocomposite”, Polymer, Vol. 48, pp. 901-9.
10. Iijima, S. (1991), “Helical microtubules of graphitic carbon”, Nature, Vol. 354, pp. 56-8.
11. Kirchhoff, G. (1850), “Uber das gleichgewicht und die bewegung einer elastishen scheibe”, Journal fur die reine und Angewandte Math, Vol. 40, pp. 51-88.
12. Li, Y., Waas, A.M. and Arruda, E.M. (2010), “Strain gradient modification of the MT model to predict the elastic properties of layer by layer (LBL) manufactured polymer/clay nanocomposites”, Proceedings of the 51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, AIAA 2010-2813.
13. Lin, J.-C. (2007), “Compression and wear behavior of composites filled with various nanoparticles”, Composites: Part B, Vol. 38, pp. 79-85.
14. 2 dispersed polyvinylmethylether (PVME)-clay nanocomposites”, Polymer, Vol. 50, pp. 3786-96.
15. Manocha, L.M., Valand, J., Patel, N., Warrier, A. and Manocha, S. (2006), “Nanocomposites for structural applications”, Indian Journal of Pure & Applied Physics, Vol. 44, pp. 135-42.
16. Mindlin, R.D. (1951), “Influence of rotatory inertia and shear in flexural motions of isotropic elastic plates”, Journal of Applied Mechanics, Vol. 18, pp. 31-8.
17. Mori, T. and Tanaka, K. (1973), “Average stress in matrix and average elastic energy of materials with misfitting inclusions”, Acta Metallurgica et Materialia, Vol. 21, pp. 571-4.
18. MUL2 (2010), Modeling for MULtilayered Structures in MULtifield Analysis, available at: www.mul2.com (accessed 22 September).
19. Pagano, N.J. (1970), “Exact solutions for rectangular bidirectional composites and sandwich plates”, Journal of Composite Materials, Vol. 4, pp. 20-34.
20. Pantano, A. and Capello, F. (2006), “Modello numerico per la caratterizzazione di materiali compositi a matrice polimerica rinforzati da nanotubi di carbonio”, Proceedings of the 35th National Symposium of Associazione Italiana per l'Analisi delle Sollecitazioni (AIAS).
21. Pantano, A., Boyce, M.C. and Parks, D.M. (2003), “Nonlinear structural mechanics based modeling of carbon nanotube deformation”, Physical Review Letters, Vol. 91, pp. 1-4.
22. Pantano, A., Boyce, M.C. and Parks, D.M. (2004a), “Mechanics of axial compression of single and multi-wall carbon nanotubes”, Journal of Engineering Materials and Technology, Vol. 126, pp. 279-85.
23. Pantano, A., Parks, D.M. and Boyce, M.C. (2004b), “Mechanics of deformation of single- and multi-wall carbon nanotubes”, Journal of the Mechanics and Physics of Solids, Vol. 52, pp. 789-821.
24. Pantano, A., Parks, D.M., Boyce, M.C. and Buongiorno Nardelli, M. (2004c), “Mixed finite element-tight binding electromechanical analysis of carbon nanotubes”, Journal of Applied Physics, Vol. 96, pp. 6756-60.
25. Reddy, J.N. (2004), Mechanics of Laminated Composite Plates and Shells. Theory and Analysis, CRC Press, Boca Raton, FL.
26. Reissner, E. (1945), “The effect of transverse shear deformation on the bending of elastic plates”, Journal of Applied Mechanics, Vol. 12, pp. 69-77.
27. Shaffer, M.S. and Sandler, J. (2006), “Carbon nanotube/nanofibre polymer composites”, in Advani, S. (Ed.), Processing and Properties of Nanocomposites, World Scientific, Singapore, pp. 1-59.
28. Sheng, N., Boyce, M.C., Parks, D.M., Rutledge, G.C., Abes, J.I. and Cohen, R.E. (2004), “Multiscale micromechanical modeling of polymer/clay nanocomposites and the effective clay particle”, Polymer, Vol. 45, pp. 487-506.
29. Tan, P., Tong, L. and Sun, X. (2008), “Effective properties for plain weave composites through-thickness reinforced with carbon nanotube forests”, Composite Structures, Vol. 84, pp. 1-10.
30. Thostenson, E.T., Li, C. and Chou, T.-W. (2005), “Nanocomposites in context”, Composites Science and Technology, Vol. 65, pp. 491-516.
31. Tjong, S.C. (2006), “Structural and mechanical properties of polymer nanocomposites”, Materials Science and Engineering: R: Reports, Vol. 53, pp. 73-197.
32. Veedu, V.P., Cao, A., Li, X., Ma, K., Soldano, C., Kar, S., Ajayan, P.M. and Ghasemi-Nejhad, M.N. (2006), “Multifunctional composites using reinforced laminae with carbon-nanotube forests”, Nature Materials, Vol. 5, pp. 457-62.
33. Verdejo, R., Saiz-Arroyo, C., Carretero-Gonzalez, J., Barroso-Bujans, F., Rodriguez-Perez, M.A. and Lopez-Manchado, M.A. (2008), “Physical properties of silicone foams filled with carbon nanotubes and functionalized graphene sheets”, European Polymer Journal, Vol. 44, pp. 2790-7.
34. Wicks, S.S., de Villoria, R.G. and Wardle, B.L. (2010), “Interlaminar and intralaminar reinforcement of composite laminates with aligned carbon nanotubes”, Composites Science and Technology, Vol. 70, pp. 20-8.
35. Xue, S. and Pinnavaia, T.J. (2008), “Porous synthetic smectic clay for the reinforcement of epoxy polymers”, Microporous and Mesoporous Materials, Vol. 107, pp. 134-40.