Static bending behaviors of nanoplate embedded in elastic matrix with small scale effects

Mechanics Research Communications - Tập 41 - Trang 44-48 - 2012
Yi-Ze Wang1, Feng-Ming Li1
1PO. Box 137, School of Astronautics, Harbin Institute of Technology, Harbin 150001, PR China

Tài liệu tham khảo

Achenbach, 1973 Baughman, 2002, Carbon nanotubes – the route toward applications, Science, 297, 787, 10.1126/science.1060928 Chong, 2008, Nano science and engineering in solid mechanics, Acta Mechanica Solida Sinica, 21, 95, 10.1007/s10338-008-0812-7 Duan, W.H., Wang, C.M., 2007. Exact solutions for axisymmetric bending of micro/nanoscale circular plates based on nonlocal plate theory. Nanotechnology 18, 385704 (5pp). Eringen, 1972, Nonlocal polar elastic continua, International Journal of Engineering Science, 10, 1, 10.1016/0020-7225(72)90070-5 Eringen, 1983, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves, Journal of Applied Physics, 54, 4703, 10.1063/1.332803 Gibson, 2007, Vibrations of carbon nanotubes and their composites: a review, Composites Science and Technology, 67, 1, 10.1016/j.compscitech.2006.03.031 Iijima, 1991, Helical microtubules of graphitic carbon, Nature, 354, 56, 10.1038/354056a0 Ke, 2009, Nonlinear free vibration of embedded double-walled carbon nanotubes based on nonlocal Timoshenko beam theory, Computational Materials Science, 47, 409, 10.1016/j.commatsci.2009.09.002 Kitipornchair, 2005, Continuum model for the vibration of multilayered graphene sheets, Physical Review B, 72, 075443, 10.1103/PhysRevB.72.075443 Lau, 2006, A critical review on nanotube and nanotube/nanoclay related polymer composite materials, Composites: Part B, 37, 425, 10.1016/j.compositesb.2006.02.020 Lee, 2009, Effect of thermal vibrations on the resonant frequency of cantilever for scanning thermal microscopy nanomachining, Journal of Applied Physics, 105, 013520, 10.1063/1.3031761 Li, 2008, Effects of a surrounding elastic medium on flexural waves propagating in carbon nanotubes via nonlocal elasticity, Journal of Applied Physics, 103, 074309, 10.1063/1.2903444 Lu, 2007, Application of nonlocal beam models for carbon nanotubes, International Journal of Solids and Structures, 44, 5289, 10.1016/j.ijsolstr.2006.12.034 Lu, 2007, Non-local elastic plate theories, Proceedings of the Royal Society A, 463, 3225, 10.1098/rspa.2007.1903 Murmu, 2009, Vibration analysis of nano-single-layered graphene sheets embedded in elastic medium based on nonlocal elasticity theory, Journal of Applied Physics, 105, 064319, 10.1063/1.3091292 Murmu, 2009, Small-scale effect on the free in-plane vibration of nanoplates by nonlocal continuum model, Physica E, 41, 1628, 10.1016/j.physe.2009.05.013 Murmu, 2009, Buckling of biaxially compressed orthotropic plates at small scales, Mechanics Research Communications, 36, 933, 10.1016/j.mechrescom.2009.08.006 Narendar, 2011, Prediction of nonlocal scaling parameter for armchair and zigzag single-walled carbon nanotubes based on molecular structural mechanics, nonlocal elasticity and wave propagation, International Journal of Engineering Science, 49, 509, 10.1016/j.ijengsci.2011.01.002 Natsuki, 2010, Free vibration characteristics of double-walled carbon nanotubes embedded in an elastic medium, Physics Letters A, 374, 2670, 10.1016/j.physleta.2010.04.040 Peddieson, 2003, Application of nonlocal continuum models to nanotechnology, International Journal of Engineering Science, 41, 305, 10.1016/S0020-7225(02)00210-0 Pradhan, 2009, Nonlocal elasticity theory for vibration of nanoplates, Journal of Sound and Vibration, 325, 206, 10.1016/j.jsv.2009.03.007 Reddy, 1997 Scarpa, 2009, Mechanical properties of non-reconstructed defective single-wall carbon nanotubes, Journal of Physics D: Applied Physics, 42, 142002, 10.1088/0022-3727/42/14/142002 Soltani, P., Taherian, M.M., Farshidianfar, A., 2010. Vibration and instability of a viscous-fluid-conveying single-walled carbon nanotube embedded in a visco-elastic medium. Journal of Physics D: Applied Physics 43, 425401 (8pp). Szabados, 2006, Intertube interactions in carbon nanotube bundles, Physical Review B, 73, 195404, 10.1103/PhysRevB.73.195404 Thostenson, 2001, Advances in the science and technology of carbon nanotubes and their composites: a review, Composites Science and Technology, 61, 1899, 10.1016/S0266-3538(01)00094-X Wang, 2006, Effects of initial stress on non-coaxial resonance of multi-wall carbon nanotubes, Acta Materialia, 54, 2067, 10.1016/j.actamat.2005.12.039 Wang, 2006, Wave characteristics of carbon nanotubes, International Journal of Solids and Structures, 43, 254, 10.1016/j.ijsolstr.2005.02.047 Wang, 2010, Scale effects on the longitudinal wave propagation in nanoplates, Physica E, 42, 1356, 10.1016/j.physe.2009.11.036 Wang, 2010, Flexural wave propagation in double-layered nanoplates with small scale effects, Journal of Applied Physics, 108, 064519, 10.1063/1.3481438 Zhang, 2008, Influence of temperature change on column buckling of multiwalled carbon nanotubes, Physics Letters A, 372, 1676, 10.1016/j.physleta.2007.10.033