Stability analysis of single-walled carbon nanotubes embedded in winkler foundation placed in a thermal environment considering the surface effect using a new refined beam theory - Publication - Bridge of Knowledge

Search

Stability analysis of single-walled carbon nanotubes embedded in winkler foundation placed in a thermal environment considering the surface effect using a new refined beam theory

Abstract

This article is devoted to investigate the stability of different types of Single Walled Carbon Nanotubes (SWCNTs) such as zigzag, chiral, and armchair types which are rested in Winkler elastic foundations exposing to both the low and high temperature environments. Also, the Surface effects which include surface energy and surface residual stresses, are taken into consideration in this study. It may be noted that the surface energy aids in the increase of the flexural rigidity whereas the surface residual stresses act as distributed transverse load. Further, the proposed model is developed by considering a novel refined beam theory namely one variable first order shear deformation beam theory along with the Hamilton’s principle. Navier’s method has been implemented to find out the critical buckling loads for Hinged-Hinged (H-H) boundary condition for zigzag, chiral, and armchair types of SWCNTs. A parametric study is also conducted to report the influence of various scaling parameters like small scale parameters, change in temperature, Winkler stiffness, and length to diameter ratio on critical buckling loads. Also, the present model is validated by comparing the results with other published work.

Citations

  • 3 6

    CrossRef

  • 0

    Web of Science

  • 5 0

    Scopus

Authors (4)

Cite as

Full text

download paper
downloaded 147 times
Publication version
Accepted or Published Version
License
Copyright (2019 Taylor & Francis Group, LLC)

Keywords

Details

Category:
Articles
Type:
artykuły w czasopismach
Published in:
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES no. 49, pages 581 - 585,
ISSN: 1539-7734
Language:
English
Publication year:
2021
Bibliographic description:
Subrat Kumar J., Chakraverty S., Malikan M., Tornabene F.: Stability analysis of single-walled carbon nanotubes embedded in winkler foundation placed in a thermal environment considering the surface effect using a new refined beam theory// MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES -Vol. 49,iss. 4 (2021), s.581-585
DOI:
Digital Object Identifier (open in new tab) 10.1080/15397734.2019.1698437
Bibliography: test
  1. Akgöz, B., and Ö. Civalek. 2011. Buckling analysis of cantilever carbon nanotubes using the strain gradient elasticity and modified couple stress theories. Journal of Computational and Theoretical Nanoscience 8:1821-1827. open in new tab
  2. Arefi, Mohammad, and Amir Hossein Soltan Arani. 2018 Higher order shear deformation bending results of a magnetoelectrothermoelastic functionally graded nanobeam in thermal, mechanical, electrical, and magnetic environments. Mechanics Based Design of Structures and Machines 46(6):669-692. open in new tab
  3. Berghouti, H., E. A. Adda Bedia, A. Benkhedda, and A. Tounsi. 2019
  4. Bedia, W. A., M. S. Houari, A. Bessaim, A. A. Bousahla, A. Tounsi, T. Saeed, and M. S. Alhodaly. open in new tab
  5. A New Hyperbolic Two-Unknown Beam Model for Bending and Buckling Analysis of a Nonlocal Strain Gradient Nanobeams. Journal of Nano Research 57:175-191. open in new tab
  6. Chaabane, L. A., F. Bourada, M. Sekkal, S. Zerouati, F. Z. Zaoui, A. Tounsi, A. Derras, A. A.
  7. Bousahla, and A. Tounsi. 2019. Analytical study of bending and free vibration responses of functionally graded beams resting on elastic foundation. Structural Engineering and Mechanics71(2):185-96.
  8. Chang, W. J., H. L. Lee. 2013. Free vibration of an embedded conical nanotube with surface effect. Digest Journal of Nanomaterials and Biostructures 8:1325-1333. open in new tab
  9. Chen, X., C. Q. Fang, and X. Wang. 2017. The influence of surface effect on vibration behaviors of carbon nanotubes under initial stress. Physica E 85:47-55. open in new tab
  10. Dastjerdi, S. and Y. Tadi Beni. 2019. A novel approach for nonlinear bending response of macro-and nanoplates with irregular variable thickness under nonuniform loading in thermal environment. Mechanics Based Design of Structures and Machines 1-26. open in new tab
  11. Draiche, K., A. A. Bousahla, A. Tounsi, A. S. Alwabli, A. Tounsi, and S. R. Mahmoud. 2019. Static analysis of laminated reinforced composite plates using a simple first-order shear deformation theory. Computers and Concrete 24(4):369-78. open in new tab
  12. Draoui, A., M. Zidour, A. Tounsi, and B. Adim. 2019. Static and Dynamic Behavior of Nanotubes- Reinforced Sandwich Plates Using (FSDT). Journal of Nano Research 57:117-135. open in new tab
  13. Eringen, A. C. 1972. Nonlocal polar elastic continua. International journal of engineering science 10:1-16. open in new tab
  14. Farshi, B., A. Assadi, and A. Alinia-Ziazi. 2010. Frequency analysis of nanotubes with consideration of surface effects. Applied Physics Letters 96:093105. open in new tab
  15. Fattahi, A. M., S. Sahmani, and N. A. Ahmed. 2019. Nonlocal strain gradient beam model for nonlinear secondary resonance analysis of functionally graded porous micro/nano-beams under periodic hard excitations. Mechanics Based Design of Structures and Machines 1-30. open in new tab
  16. Jena, S. K., and S. Chakraverty. 2018a. Free vibration analysis of variable cross-section single layered graphene nano-ribbons (SLGNRs) using differential quadrature method. Frontiers in Built Environment 4:63. open in new tab
  17. Jena, S. K., and S. Chakraverty. 2018b. Free vibration analysis of single walled carbon nanotube with exponentially varying stiffness. Curved and Layered Structures 5:201-212. open in new tab
  18. Jena, S. K., and S. Chakraverty. 2018c. Free vibration analysis of Euler-Bernoulli Nano beam using differential transform method. International Journal of Computational Materials Science and Engineering 7:1850020. open in new tab
  19. Jena, S. K., S. Chakraverty, and F. Tornabene. 2019a. Vibration characteristics of nanobeam with exponentially varying flexural rigidity resting on linearly varying elastic foundation using differential quadrature method. Materials Research Express 6:085051. open in new tab
  20. Jena, S. K., S. Chakraverty, and F. Tornabene. 2019b. Dynamical behavior of nanobeam embedded in constant, linear, parabolic, and sinusoidal types of Winkler elastic foundation using First-Order nonlocal strain gradient model. Materials Research Express 6:0850f2. open in new tab
  21. Jena, S. K., S. Chakraverty, and F. Tornabene. 2019c. Buckling Behavior of Nanobeam Placed in an Electro-Magnetic Field Using Shifted Chebyshev polynomials Based Rayleigh-Ritz Method. Nanomaterials 9(9): 1326. open in new tab
  22. Jena, S. K., S. Chakraverty, R. M. Jena, and F. Tornabene. 2019. A novel fractional nonlocal model and its application in buckling analysis of Euler-Bernoulli nanobeam. Materials Research Express 6:055016. open in new tab
  23. Jena, S. K., S. Chakraverty, and M. Malikan. 2019. Implementation of Haar wavelet, higher order Haar wavelet, and differential quadrature methods on buckling response of strain gradient nonlocal beam embedded in an elastic medium. Engineering with Computers https://doi.org/10.1007/s00366- 019-00883-1. open in new tab
  24. Jena, S. K., and S. Chakraverty. 2019a. Differential Quadrature and Differential Transformation Methods in Buckling Analysis of Nanobeams, Curved and Layered Structures 6:68-76. open in new tab
  25. Jena, S. K, and S. Chakraverty. 2019b. Dynamic Behavior of Electro-Magnetic Nanobeam Using Haar Wavelet Method (HWM) and Higher Order Haar Wavelet Method (HOHWM). The European Physical Journal Plus 134(10):538. open in new tab
  26. Jena, S. K., and S. Chakraverty. 2019c. Dynamic Analysis of Single-Layered Graphene Nano- Ribbons (SLGNRs) with Variable Cross-Section Resting on Elastic Foundation. Curved and Layered Structures 6(1):132-145. open in new tab
  27. Jena, S. K., S. Chakraverty, and R. M. Jena. 2019. Propagation of Uncertainty in Free Vibration of open in new tab
  28. Euler-Bernoulli Nanobeam. Journal of the Brazilian Society of Mechanical Sciences and Engineering 41(10): 436.
  29. Larbi, L.O., A. Kaci, M. S. A. Houari, and A. Tounsi. 2013. An efficient shear deformation beam theory based on neutral surface position for bending and free vibration of functionally graded beams. Mechanics Based Design of Structures and Machines 41(4):421-433. open in new tab
  30. Lee, H. L., and W. J. Chang. 2010. Surface effects on frequency analysis of nanotubes using nonlocal Timoshenko beam theory. Journal of Applied Physics 108:093503. open in new tab
  31. Li, L., and Y. Hu. 2015. Buckling analysis of size-dependent nonlinear beams based on a nonlocal strain gradient theory. International Journal of Engineering Science 97:84-94. open in new tab
  32. Malikan, M. 2017. Electro-mechanical shear buckling of piezoelectric nanoplate using modified couple stress theory based on simplified first order shear deformation theory. Applied Mathematical Modelling 48:196-207. open in new tab
  33. Malikan, M., and S. Dastjerdi. 2018. Analytical buckling of FG nanobeams on the basis of a new one variable first-order shear deformation beam theory. International Journal of Engineering & Applied Sciences 10:21-34. open in new tab
  34. Malikan, M., F. Tornabene, and R. Dimitri. 2018. Nonlocal three-dimensional theory of elasticity for buckling behavior of functionally graded porous nanoplates using volume integrals. Materials Research Express 5:095006. open in new tab
  35. Malikan, M., V. B. Nguyen, and F. Tornabene. 2018a. Damped forced vibration analysis of single- walled carbon nanotubes resting on viscoelastic foundation in thermal environment using nonlocal strain gradient theory. Engineering Science and Technology, an International Journal 21:778-786. open in new tab
  36. Malikan, M., V. B. Nguyen, and F. Tornabene. 2018b. Electromagnetic forced vibrations of composite nanoplates using nonlocal strain gradient theory. Materials Research Express 5: 075031. open in new tab
  37. Malikan, M., and V. B. Nguyen. 2018. Buckling analysis of piezo-magnetoelectric nanoplates in hygrothermal environment based on a novel one variable plate theory combining with higher-order nonlocal strain gradient theory. Physica E: Low-dimensional Systems and Nanostructures 102:8-28. open in new tab
  38. Malikan, M., R. Dimitri, and F. Tornabene. 2019. Transient response of oscillated carbon nanotubes with an internal and external damping. Composites Part B: Engineering 158:198-205. open in new tab
  39. Malikan, M., V. B. Nguyen, R. Dimitri, and F. Tornabene. 2019. Dynamic modeling of non- cylindrical curved viscoelastic single-walled carbon nanotubes based on the second gradient theory. Materials Research Express 6:075041. open in new tab
  40. Malikan, M. 2019. On the buckling response of axially pressurized nanotubes based on a novel nonlocal beam theory. Journal of Applied and Computational Mechanics 5:103-112. open in new tab
  41. Medani, M., A. Benahmed, M. Zidour, H. Heireche, A. Tounsi, A. A. Bousahla, A. Tounsi, and S.
  42. R. Mahmoud. 2019. Static and dynamic behavior of (FG-CNT) reinforced porous sandwich plate using energy principle. Steel and Composite Structures 32(5):595-610.
  43. Mehralian, F., Y. Tadi Beni, and M. Karimi Zeverdejani. 2017. Calibration of nonlocal strain gradient shell model for buckling analysis of nanotubes using molecular dynamics simulations. Physica B: Condensed Matter 521:102-111. open in new tab
  44. Murmu, T., and S. C. Pradhan. 2010. Thermal effects on the stability of embedded carbon nanotubes. Computational Materials Science 47:721-7. open in new tab
  45. Pradhan, S. C., and G. K. Reddy. 2011. Buckling analysis of single walled carbon nanotube on Winkler foundation using nonlocal elasticity theory and DTM. Computational Materials Science 50:1052-1056. open in new tab
  46. Semmah, A., H. Heireche, A. A. Bousahla, and A. Tounsi. 2019. Thermal buckling analysis of SWBNNT on Winkler foundation by non-local FSDT. Advances in Nano Research 7(2):89.
  47. She, G. L., F. G. Yuan, Y. R. Ren, and W. Sh. Xiao. 2017. On buckling and post buckling behavior of nanotubes. International Journal of Engineering Science 121:130-142. open in new tab
  48. Sun, Dong-Liang, and Xian-Fang Li. 2019. Initial value method for free vibration of axially loaded functionally graded Timoshenko beams with nonuniform cross section. Mechanics Based Design of Structures and Machines 47(1):102-120. open in new tab
  49. Teifouet, M., A. Robinson, and S. Adali. 2017. Buckling of nonuniform carbon nanotubes under concentrated and distributed axial loads. Mechanical Sciences 8:299-305.
  50. Thai, H.-T. 2012. A nonlocal beam theory for bending, buckling, and vibration of nanobeams. International Journal of Engineering Science 52:56-64. open in new tab
  51. Wang, B. L., M. Hoffman, and A. B. Yu. 2012. Buckling analysis of embedded nanotubes using gradient continuum theory. Mechanics of Materials 45:52-60. open in new tab
  52. Wang, C. M., Y. Y. Zhang, S. S. Ramesh, and S. Kitipornchai. 2006. Buckling analysis of micro- and nano-rods/tubes based on nonlocal Timoshenko beam theory. Journal of Physics D: Applied Physics 39:3904-3909. open in new tab
  53. Zhen, Y. X. 2017. Wave propagation in fluid-conveying viscoelastic single-walled carbon nanotubes with surface and nonlocal effects. Physica E: Low-dimensional Systems and Nanostructures 86:275-279. open in new tab
Verified by:
Gdańsk University of Technology

seen 110 times

Recommended for you

Meta Tags