بکارگیری تئوری الاستیسیته گرادیان کرنشی در بررسی اثر اندازه بر خواص الاستیک نانولوله تک جداره کربنی

[1] Iijima S., “Helical microtubules of graphitic carbon”,Nature, Vol 354, pp. 56- 58, 1991.

[2] Lau K. T., “Interfacial bonding characteristics of nanotube/polymer composites”, Chem. Phys. Lett.,Vol 370, pp. 399- 405, 2003.

[3] Morales R. L. F., Toxvaerd, S., “Computer Simulation of a Phase Transition at Constant Temperature and

Pressure”, Physical Review A, Vol 34, pp. 1495- 1498,1986.

[4] Mindlin R. D., “Micro-structure in linear elasticity”,Archive for Rational Mechanics and Analysis, Vol 16, pp.

51- 78, 1964.

[5] Kröner E., “On the physical reality of torque stresses in continuum mechanics”, International Journal of Engineering Science, Vol 1, pp. 261- 278, 1963.

[6] Mindlin, R. D., Eshel, N. N., “On First Strain-Gradient theories in Linear Elasticty”, International Journal of

Solids and Structures, Vol 4, pp. 109- 124, 1968.

[7] Askes, H., Aifantis E. C., “Gradient elasticity and flexural wave dispersion in carbon nanotubes”, Physical Review B, Vol 80, pp. 195412- 195418, 2009.

[8] Wang L., “Wave propagation of fluid-conveying single-walled carbon nanotubes”, Computational Materials Science, Vol 49, pp. 761- 766, 2010.

[9] Wang B. L., Hoffman M.; Yu A. B., “Mechanics of Materials Buckling analysis of embedded nanotubes

using gradient continuum theory”, Mechanics of Materials, Vol 45, pp. 52- 60, 2012.

[10] Ansari R., Gholami R., Rouhi H., “Various gradient elasticity theories in predicting vibrational response

of single-walled carbon nanotubes with arbitrary boundary conditions”, Journal of Vibration and Control Vol 19, No.5, pp. 708- 719, 2012.

[11] Aifantis E. C., “On the role of gradients in the localization of deformation and fracture” International

Journal of Engineering Science, Vol 30, pp. 1279-1299, 1992.

[12] Muhlhaus H. B., Oka F., “Dispersion and wave propagation in discrete and continuous models for granular materials”, International Journal of Solids and Structures,Vol 33, No. 19, pp. 2841- 2858, 1996.

[13] Sundararaghavan V., and Waas A., “Non-local continuum modeling of carbon nanotubes: Physical

interpretation of non-local kernels using atomistic simulations”, Journal of the Mechanics and Physics of

Solids, Vol 59, No. 6, pp. 1191- 1203, 2011.

[14] Hu N., Fukunaga H., Lu C., Kameyama M., Yan B., and A P. R. S., “Prediction of elastic properties of carbon nanotube reinforced composites Prediction of elastic properties of carbon nanotube reinforced composites”, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, pp.1685- 1710, 2005.

[15] K.A. Lazopoulos, A.K. Lazopoulos, “Bending and buckling of thin strain gradient elastic beams”, European Journal of Mechanics - A/Solids Vol 29, No.5, pp. 837- 843, 2010.