TY - JOUR T1 - Bending Analysis of a Boron Nitride Nanotube Cantilever Beam Based on Modified Couple Stress Theory AU - Akgöz, Bekir AU - Turan, Levent PY - 2025 DA - September Y2 - 2025 DO - 10.24107/ijeas.1641966 JF - International Journal of Engineering and Applied Sciences JO - IJEAS PB - Akdeniz University WT - DergiPark SN - 1309-0267 SP - 94 EP - 105 VL - 17 IS - 2 LA - en AB - There are difficulties in determining the properties of nano-sized materials such as bending, buckling and vibration with classical elasticity theories. For this reason, researchers have developed many theories that include the size effects of micro- and nano-sized structures. In this study, the bending equations of a boron nitride nanotube cantilever nanobeam under different loadings are obtained according to the modified couple stress theory and Euler-Bernoulli beam theory and the results are compared. KW - Modified couple stress theory KW - Euler-Bernoulli beam theory KW - Boron Nitride Nanotube KW - Size effect. CR - Minoli, D., Nanotechnology Applications to Telecommunications and Networking, 1st Edition, John Wiley and Sons, 2005. CR - Loos, M., Carbon Nanotube Reinforced Composites, Elsevier, 2015. CR - Collins, PG., Avouris, P., Nanotubes for electronics. Scientific American, 62(283), 69, 2000. CR - McFarland, A.W., Colton, J.S., Role of material microstructure in plate stiffness with relevance to microcantilever sensors. Journal of Micromechanics and Microengineering, 15, 1060-1067, 2005. CR - Gao, Y., Lei, F-M., Small scale effects on the mechanical behaviors of protein microtubules based on the nonlocal elasticity theory. Biochemical and Biophysical Research Communications, 387(3), 467-471, 2009. CR - Mindlin, R.D., Tiersten, H.F., Effects of couple-stresses in linear elasticity. Archive for Rational Mechanics and Analysis, 11, 415–448, 1962. CR - Toupin, R.A., Elastic materials with couple stresses. Archive for Rational Mechanics and Analysis, 11, 385–414, 1962. CR - Mindlin, R.D., Micro-structure in linear elasticity. Archive for Rational Mechanics and Analysis, 16, 51-78, 1964. CR - Koiter, W.T., Couple stresses in the theory of elasticity. I and II. Proceedings Series B, Koninklijke Nederlandse Akademie van Wetenschappen, 67, 17–44, 1964. CR - Akgöz, B., Civalek, Ö., Investigation of size effects on static response of single-walled carbon nanotubes based on strain gradient elasticity. International Journal of Computational Methods, 9(02), 1240032, 2012. CR - Akgöz, B., Mercan, K., Demir, Ç., Civalek, Ö., Static analysis of beams on elastic foundation by the method of discrete singular convolution. International Journal of Engineering and Applied Sciences, 8(3), 67-73, 2016. CR - Dastjerdi, S., Malikan, M., Akgöz, B., Civalek, Ö., Wiczenbach, T., Eremeyev, V.A., On the deformation and frequency analyses of SARS-CoV-2 at nanoscale. International Journal of Engineering Science, 170, 103604, 2022. CR - Abouelregal, A.E., Akgöz, B., Civalek, Ö., Nonlocal thermoelastic vibration of a solid medium subjected to a pulsed heat flux via Caputo–Fabrizio fractional derivative heat conduction. Applied Physics A, 128(8), 660, 2022. CR - Akbaş, Ş.D., Dastjerdi, S., Akgöz, B., Civalek, Ö., Dynamic analysis of functionally graded porous microbeams under moving load. Transport in Porous Media, 142, 209–227, 2022. CR - Civalek, Ö., Akgöz, B., Size-dependent stability of embedded beams with variable cross section. International Journal of Engineering Science, 208, 104210, 2025. CR - Yıldırım, A., Akgöz, B., Buckling behavior of nickel microbeams based on reformulated strain gradient theory. Applied Physics A, 130, 832, 2024. CR - Wong, E.W., Sheehan, P.E. Lieber, C.M., Nanobeam mechanics: elasticity, strength and toughness of nanorods and nanotubes. Science, 277, 1971–1975, 1997. CR - Zheng, B., Lowther, J.E., Numerical investigations into mechanical properties of hexagonal silicon carbon nanowires and nanotubes. The Royal Society of Chemistry, 2, 1733–1739, 2010. CR - Yang, F., Chong, A.C.M., Lam, D.C.C., Tong, P., Couple stress based strain gradient theory for elasticity. International Journal of Solids and Structures, 39, 2731-2743, 2002. CR - Park, S.K., Gao, X-L., Bernoulli-Euler beam model based on a modified couple stress theory. Journal of Micromechanics and Microengineering, 16, 2355-2359, 2006. CR - Akgöz, B., Yüksek mertebeden elastisite teorileriyle mikro ve nano yapıların lineer ve lineer olmayan analizleri (in Turkish). Master's thesis, Akdeniz University, Antalya, 2010. UR - https://doi.org/10.24107/ijeas.1641966 L1 - https://dergipark.org.tr/en/download/article-file/4619088 ER -