Analytical solutions for bending, buckling and vibration responses of carbon nanotube-reinforced composite beams resting on elastic foundation

Nonlinear bending of nanotube-reinforced composite cylindrical panels resting on elastic foundations in thermal environments

“…These results confirm that the material properties of CNTs are size-dependent and temperature-dependent. It is noted that the effective wall thickness obtained for (10, 10)-tube is 0.067 nm, which satisfies the VodenitcharovaZhang criterion [41], and the widely used value of 0.34 nm for tube wall thickness is thoroughly inappropriate for SWCNTs, otherwise the results may be incorrect [10]. The CNT efficiency parameters used in Eq.…”

“…The concept of functionally graded nanocomposites has been realized in a recent experimental study [9] where a functionally graded CNT reinforced aluminum composite was fabricated using a powder metallurgy route. These pioneer works have stimulated extensive studies on the bending, buckling and vibration responses of CNTRC structures in recent years [10][11][12][13][14][15][16][17][18][19][20][21][22][23].…”

Nonlinear response of nanotube-reinforced composite cylindrical panels subjected to combined loadings and resting on elastic foundations

“…The panel is assumed to be resting on an elastic foundation. As is customary [11,14,19], the foundation is assumed to be a compliant foundation, which means that no part of the panel lifts off the foundation in the large deflection region. The load-displacement relationship of the foundation is assumed to be the Pasternak type…”

“…To further explore FG-CNTRC ability in enhancing mechanical behaviors of structures, Shen and his co-authors studies FG-CNTRC beams [11], plates [12][13][14] and shells [15][16][17] against nonlinear bending, compressive and thermal postbuckling, and nonlinear free and forced vibration. Following this trend, many other researchers have also conducted extensive researches in this area [18][19][20][21][22][23][24][25][26][27][28][29][30][31][32]. The studies on CNTRC cylindrical panels, however, are relative less frequent.…”

Tensile behaviours of single‐walled carbon nanotubes

“…Carbon nanotubes have been characterized using the molecular dynamic approach and the continuum mechanic approach [5][6][7][8]. However, the molecular dynamic approach is known to be limited by its huge computational requirement while the continuum approach neglects the atomic characteristics such as the inter-atomic forces [3].…”