Transient behaviors of curved zigzag nanobeams via finite element doublet mechanics theory
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OpenAlex topics: Nonlocal and gradient elasticity in micro/nano structures · Carbon Nanotubes in Composites · Mechanical and Optical Resonators
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References (53)
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1. Abdelrahman, A.A., Shanab, R.A., Esen, I., Eltaher, M.A.: Effect of moving load on dynamics of nanoscale Timoshenko CNTs embedded in elastic media based on doublet mechanics theory. Steel Compos. Struct. 44(2), 241–256 (2022). https://doi.org/10.12989/scs.2022.44.2.24110.12989/scs.2022.44.2.241 ↗
2. Ansari, R., Ajori, S., Arash, B.: Vibrations of single- and double-walled carbon nanotubes with layerwise boundary conditions: a molecular dynamics study. Curr. Appl. Phys. 12, 707–711 (2012)10.1016/j.cap.2011.10.007 ↗
3. Arefi, A., Nahvi, H.: Stability analysis of an embedded single-walled carbon nanotube with small initial curvature based on nonlocal theory. Mech. Adv. Mater. Struct. (2016). https://doi.org/10.1080/15376494.2016.119680010.1080/15376494.2016.1196800 ↗
4. Artan, R., Tepe, A.: In-plane static behavior of Nonlocal curved nanobeams resting on an elastic foundation determined using the initial value method. J. Elast. 157, 49 (2025a). https://doi.org/10.1007/s10659-025-10140-w10.1007/s10659-025-10140-w ↗
5. Artan, R., Tepe, A.: Out-of-plane static analysis of curved nanobeams resting on an elastic foundation using the method of initial values. ZAMM J. Appl. Math. Mech. (2025b). https://doi.org/10.1002/zamm.7003110.1002/zamm.70031 ↗
6. Barretta, R., Fabbrocino, F., Luciano, R., de Marotti Sciarra, F.: Closed-form solutions in stress-driven two-phase integral elasticity for bending of functionally graded nano-beams. Phys. E Low-Dimens. Syst. Nanostructures 97, 13–30 (2018)10.1016/j.physe.2017.09.026 ↗
7. Barretta, R., de Marotti Sciarra, F., Vaccaro, M.S.: Nonlocal elasticity for nanostructures: a review of recent achievements. Encyclopedia 3(1), 279–310 (2023). https://doi.org/10.3390/encyclopedia301001810.3390/encyclopedia3010018 ↗
8. Batra, R.: Misuse of Eringen’s nonlocal elasticity theory for functionally graded materials. Int. J. Eng. Sci. 159, 103425 (2021)
9. Chidamparam, P., Leissa, A.W.: Vibrations of planar curved beams, rings, and arches. Appl. Mech. Rev. 46(9), 467–483 (1993). https://doi.org/10.1115/1.312037410.1115/1.3120374 ↗
10. Chong, A., Lam, D.: Strain gradient plasticity effect in indentation hardness of polymers. J. Mater. Res. 14, 4103–4110 (1999)10.1557/JMR.1999.0554 ↗
11. Craighead, H.G.: Nanoelectromechanical Systems. Science 290, 1532–1535 (2000). https://doi.org/10.1126/science.290.5496.153210.1126/science.290.5496.1532 ↗
12. Ekinci, K.L., Roukes, M.L.: Nanoelectromechanical systems. Rev. Sci. Instrum. 76(6), 061101 (2005). https://doi.org/10.1063/1.192732710.1063/1.1927327 ↗
13. Eltaher, M., Mohamed, N.: Nonlinear stability and vibration of imperfect CNTs by Doublet mechanics. Appl. Math. Comput. 382, 125311 (2020)
14. Eltaher, M., Mohamed, N., Mohamed, S.: Nonlinear buckling and free vibration of curved CNTs by doublet mechanics. Smart Struct. Syst. 26(2), 213–226 (2020)
15. Eltaher, M.A., Abdelrahman, A.A., Esen, I.: Dynamic analysis of nanoscale Timoshenko CNTs based on doublet mechanics under moving load. Eur. Phys. J. plus 136, 1–21 (2021)10.1140/epjp/s13360-021-01682-8 ↗
16. Eringen, A.: Nonlocal polar elastic continua. Int. J. Eng. Sci. 10, 1–16 (1972)
17. Ferrari, M.: Advances in doublet mechanics. Springer, Berlin (1997)10.1007/978-3-540-49636-6 ↗
18. Fleck, N., Hutchinson, J.: A reformulation of strain gradient plasticity. J. Mech. Phys. Solids 49, 2245–2271 (2001)10.1016/S0022-5096(01)00049-7 ↗
19. Gad-el-Hak, Mohamed, ed. The MEMS handbook. CRC press, 2001.10.1201/9781420050905 ↗
20. Ganapathi, M., Polit, O.: Dynamic characteristics of curved nanobeams using nonlocal higher-order curved beam theory. Phys. E Low-Dimens. Syst. Nanostruct. 91, 190–202 (2017)10.1016/j.physe.2017.04.012 ↗
21. Granik V. Microstructural mechanics of granular media. Technique Report IM/MGU Inst. Mech. Moscow State Univ. 1978:78–241.
22. Granik, V., Ferrari, M.: Microstructural mechanics of granular media. Mech. Mater. 15, 301–322 (1993)10.1016/0167-6636(93)90005-C ↗
23. Gul, U., Aydogdu, M.: Wave propagation in double walled carbon nanotubes by using doublet mechanics theory. Phys. E Low-Dimens. Syst. Nanostruct. 93, 345–357 (2017a)10.1016/j.physe.2017.07.003 ↗
24. Gul, U., Aydogdu, M.: Structural modelling of nanorods and nanobeams using doublet mechanics theory. Int. J. Mech. Mater. des. 14, 195–212 (2017b)10.1007/s10999-017-9371-8 ↗
25. Gul, U., Aydogdu, M.: Noncoaxial vibration and buckling analysis of embedded double-walled carbon nanotubes by using doublet mechanics. Compos. Part B Eng. 137, 60–73 (2018)10.1016/j.compositesb.2017.11.005 ↗
26. Gul, U., Aydogdu, M.: A micro/nano-scale Timoshenko-Ehrenfest beam model for bending, buckling and vibration analyses based on doublet mechanics theory. Eur. J. Mech. a. Solids 86, 104199 (2021)10.1016/j.euromechsol.2020.104199 ↗
27. Hajianmaleki, M., Qatu, M.: Vibrations of straight and curved composite beams: a review. Compos. Struct. 100, 218–232 (2013)10.1016/j.compstruct.2013.01.001 ↗
28. Hosseini, S.A.H., Rahmani, O.: Free vibration of shallow and deep curved FG nanobeam via nonlocal Timoshenko curved beam model. Appl. Phys. A (2016). https://doi.org/10.1007/s00339-016-9696-410.1007/s00339-016-9696-4 ↗
29. Hu, Y.G., Liew, K.M., Wang, Q.: Nonlocal continuum model and molecular dynamics for free vibration of single-walled carbon nanotubes. J. Nanosci. Nanotechnol. 11, 10401–10407 (2011)10.1166/jnn.2011.5729 ↗
30. Kadıoğlu, H.G., Yaylı, M.Ö.: Analysis of torsional vibration in viscoelastic functionally graded nanotubes with viscoelastic constraints using doublet mechanics theory. Int. J. Mech. Mater. des. (2025). https://doi.org/10.1007/s10999-025-09802-310.1007/s10999-025-09802-3 ↗
31. Karamanli, A.: Structural behaviours of zigzag and armchair nanobeams using finite element doublet mechanics. Eur. J. Mech. a. Solids 89, 104287 (2021)10.1016/j.euromechsol.2021.104287 ↗
32. Karamanli, A., Vo, T.P.: Free vibration of axially loaded zigzag and armchair nanobeams using doublet mechanics. Mech. Based des. Struct. Mach. 51(10), 5808–5833 (2021). https://doi.org/10.1080/15397734.2021.201387810.1080/15397734.2021.2013878 ↗
33. Karamanli, A., Vo, T.P.: Finite element model for free vibration analysis of curved zigzag nanobeams. Compos. Struct. 282, 115097 (2022). https://doi.org/10.1016/j.compstruct.2021.1150910.1016/j.compstruct.2021.11509 ↗
34. Kojic, M., Vlastelica, I., Decuzzi, P., Granik, V., Ferrari, M.: A finite element formulation for the doublet mechanics modeling of microstructural materials. Comput. Methods Appl. Mech. Eng. 200, 1446–1454 (2011)10.1016/j.cma.2011.01.001 ↗
35. Lei, J., He, Y., Guo, S., Li, Z., Liu, D.: Size-dependent vibration of nickel cantilever microbeams: experiment and gradient elasticity. AIP Adv. 6, 105202 (2016)10.1063/1.4964660 ↗
36. Ma, Q., Clarke, D.: Size dependent hardness of silver single crystals. J. Mater. Res. 10, 853–863 (1995)10.1557/JMR.1995.0853 ↗
37. Merzouki, T., Ganapathi, M., Polit, O.: A nonlocal higher-order curved beam finite model including thickness stretching effect for bending analysis of curved nanobeams. Mech. Adv. Mater. Struct. 26, 614–630 (2017)10.1080/15376494.2017.1410903 ↗
38. Mindlin, R.: Micro-structure in linear elasticity. Arch. Ration. Mech. Anal. 16, 51–78 (1964)10.1007/BF00248490 ↗
39. Pham, S.D., Karamanli, A., Wattanasakulpong, N., Vo, T.P.: A quasi-3D theory for bending, vibration and buckling analysis of FG-CNTRC and GPLRC curved beams. Structures 63, 106431 (2024)10.1016/j.istruc.2024.106431 ↗
40. Polit, O., Merzouki, T., Ganapathi, M.: Elastic stability of curved nanobeam based on higher-order shear deformation theory and nonlocal analysis by finite element approach. Finite Elem. Anal. des. 146, 1–15 (2018)10.1016/j.finel.2018.04.002 ↗
41. Reissner, E.: On finite deformations of space-curved beams. Z. Angew. Math. Phys. 32, 734–744 (1981). https://doi.org/10.1007/BF0094698310.1007/BF00946983 ↗
42. Romano, G., Barretta, R., Diaco, M., de Marotti Sciarra, F.: Constitutive boundary conditions and paradoxes in nonlocal elastic nanobeams. Int. J. Mech. Sci. 121, 151–156 (2017)10.1016/j.ijmecsci.2016.10.036 ↗
43. Sayyad, A.S., Ghugal, Y.M.: A sinusoidal beam theory for functionally graded sandwich curved beams. Compos. Struct. 226, 111246 (2019). https://doi.org/10.1016/j.compstruct.2019.11124610.1016/j.compstruct.2019.111246 ↗
44. Shahabodini, A., Ansari, R., Darvizeh, M.: Atomistic-continuum modeling of vibrational behavior of carbon nanotubes using the variational differential quadrature method. Compos. Struct. 185, 728–747 (2018)10.1016/j.compstruct.2017.11.028 ↗
45. She, G., Liu, H.B., Karami, B.: On resonance behavior of porous FG curved nanobeams. Steel Compos. Struct. 36, 179–186 (2020)
46. Songsuwan, W., Pimsarn, M., Wattanasakulpong, N.: Dynamic responses of functionally graded sandwich beams resting on elastic foundation under harmonic moving loads. Int. J. Struct. Stab. Dyn. 18(9), 1850112 (2018)10.1142/S0219455418501122 ↗
47. Stölken, J., Evans, A.: A microbend test method for measuring the plasticity length scale. Acta Mater. 46, 5109–5115 (1998)10.1016/S1359-6454(98)00153-0 ↗
48. Tepe, A.: Nonlocal effects on curved double-walled carbon nanotubes based on nonlocal theory. Arch. Appl. Mech. 95, 57 (2025). https://doi.org/10.1007/s00419-025-02762-210.1007/s00419-025-02762-2 ↗
49. Thai, H., Vo, T., Nguyen, T., Kim, S.: A review of continuum mechanics models for size-dependent analysis of beams and plates. Compos. Struct. 177, 196–219 (2017)10.1016/j.compstruct.2017.06.040 ↗
50. Xu, X., Karami, B., Shahsavari, D.: Time-dependent behavior of porous curved nanobeam. Int. J. Eng. Sci. 160, 103455 (2021)
51. Yang, F., Chong, A., Lam, D., Tong, P.: Couple stress based strain gradient theory for elasticity. Int. J. Solids Struct. 39, 2731–2743 (2002)10.1016/S0020-7683(02)00152-X ↗
52. Yayli, M., Asa, E.: Longitudinal vibration of carbon nanotubes with elastically restrained ends using doublet mechanics. Microsyst. Technol. 26, 499–508 (2019)10.1007/s00542-019-04512-1 ↗
53. Zhang, Y.Y., Wang, C.M., Tan, V.B.C.: Assessment of Timoshenko beam models for vibrational behavior of single-walled carbon nanotubes using molecular dynamics. Adv. Appl. Math. Mech. 1(1), 89–106 (2009)