Assessment of Third-order Shear Deformation Graphene Nanoplate Response under Static Loading Using Modified Couple Stress Theory
Subject Areas :Majid Eskandari Shahraki 1 , Mahmoud Shariati 2 , Naser Asiaban 3 , Ali Davar 4 , Mohsen Heydari Beni 5 , Jafar Eskandari Jam 6
1 - Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
2 - Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
3 - Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
4 - Faculty of Materials and Manufacturing Technologies, Malek Ashtar University of Technology, Tehran, Iran
5 - Faculty of Materials and Manufacturing Technologies, Malek Ashtar University of Technology, Tehran, Iran
6 - Faculty of Materials and Manufacturing Technologies, Malek Ashtar University of Technology, Tehran, Iran
Keywords:
Abstract :
[1] Thanh, C.-L., Tran, L. V., Vu-Huu, T. and Abdel-Wahab, M. 2019. The size-dependent thermal bending and buckling analyses of composite laminate microplate based on new modified couple stress theory and isogeometric analysis. Computer Methods in Applied Mechanics and Engineering. 350: 337-361.
[2] Sladek, V., Sladek, J., Repka, M. and Sator, L. 2020. FGM micro/nano-plates within modified couple stress elasticity. Composite Structures. 245: 112294.
[3] Al-Shewailiah, D. M. R. and Al-Shujairi, M. A. 2021. Static bending of functionally graded single-walled carbon nanotube conjunction with modified couple stress theory. Materials Today: Proceedings.
[4] Yang, Y., Hu, Z.-L. and Li, X.-F. 2021. Axisymmetric bending and vibration of circular nanoplates with surface stresses. Thin-Walled Structures. 166: 108086.
[5] Aghababaei, R. and Reddy, J.N. 2009. Nonlocal third-order shear deformation plate theory with application to bending and vibration of plates. Journal of Sound and Vibration. 326: 277-289.
[6] Jung, W.Y., Han, S.C. and Park, W.T. 2014. A modified couple stress theory for buckling analysis of S-FGM nanoplates embedded in Pasternak elastic medium. Composites Part B: Engineering. 60: 746-756.
[7] Shafiei, Z., Sarrami-Foroushani, S., Azhari, F. and Azhari, M. 2020. Application of modified couple-stress theory to stability and free vibration analysis of single and multi-layered graphene sheets. Aerospace Science and Technology. 98: 105652.
[8] Wu, C.-P. and Hu, H.-X. 2021. A unified size-dependent plate theory for static bending and free vibration analyses of micro- and nano-scale plates based on the consistent couple stress theory. Mechanics of Materials. 162: 104085.
[9] Haghshenas, A. and Shahrajabian, H. 2021. The mechanical properties of PA6/NBR/clay/CaCO3 hybrid nanocomposites. Journal of Modern Processes in Manufacturing and Production. 10(1): 19-30.
[10] Ameen, S., Akhtar, M. S. and Shin, H. 2020. Graphene Production and Application. IntechOpen. https://doi.org/10.5772/intechopen.83309
[11] Sun, Y., Sun, M. and Xie,D. 2018. Graphene Electronic Devices. Academic Press.
[12] Yang, F., Chong, A.C.M., Lam, D.C.C. and Tong, P. 2002. Couple stress Based Strain gradient theory for elasticity. Int.J.Solids Struct. 39: 2731–2743.
[13] Toupin, R.A. 1962. Elastic materials with couple stresses. Arch.Rational Mech.Anal. 11: 385–414.
[14] Mindlin, R.D. and Tiersten, H.F. 1962. Effects of couple-stresses in linear elasticity. Arch. Rational Mech. Anal. 11: 415–448.
[15] Koiter, W.T. 1964. Couple stresses in the theory of elasticity. I and II.Proc .K. Ned. Akad .Wet.(B) 67: 17–44.
[16] Mindlin, R.D. 1964. Micro-structure in linear elasticity. Arch.RationalMech.Anal. 16: 51–78.
[17] Tsiatas, G.C. 2009. A new kirchhoff model based on a modified couple stress theory. International Journal of solids and structures. 46: 2757-2764.
[18] Wang, B., Zhou, S., Zhao, J. and Chen, X. 2011. A size-dependent kirchhoff micro-plate model based on strain gradient elasticity theory. European Journal of mechanics A/Solids. 30: 517-524.
[19] Farajpour, A., Shahidi, A.R., Mohammadi, M. and Mahzoon, M. 2012. Buckling of orthotropic micro/nanoscale plates under linearly varying in-plate load via nonlocal continuum mechanics. Composite Structures. 94: 1605-1615.
[20] Tai, T. and HoChoi, D. 2013. size-dependent functionally graded kirchhoff and mindlin plate theory based on a modified couple stress theory. Composite Structures. 95: 142-153.
[21] Akgoz, B. and Civalek, O. 2012. Free vibration analysis for single –layered graphene sheets in an elastic matrix via modified couple stress theory. materials and design. 42: 164-171.
[22] Roque, C.M.C., Ferreira, A.J.M. and Reddy, J.N. 2013. Analysis of mindlin micro plates with a modified couple stress theory and meshlessmethod. Applied Mathematical Modeling. 37: 4626-4633.