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NORMAL STRESS DISTRIBUTION IN INFINITE ELASTIC MATRIX WITH A LOCALLY CURVED TRIPLE-WALLED CARBON NANOTUBE

ABSTRACT
Nanocomposite materials are produced by using of nanotubes, the most significant structural elements of nanomaterials used in nanotechnologic applications. In the reinforcement (in the fibers) of the structure of composite materials, the appearance of the self-balancing stresses results from the initial curvature, caused by either structural reasons or technological processes. Because of exceeding safety limits of material caused by high magnitude self-balancing stresses, investigating the mechanical behaviors of the material theoretically, both under tensile and compression in the direction of strengthening (fiber) is essential for the engineering. Unlike the literature, in this study, composite materials containing triple-walled nanotube are investigated in the scope of the piecewise homogeneous body model by using of geometric non-linear exact equations of the 3-D theory of elasticity. The normal stress analysis, on the outermost surface of the carbon nanotube and the matrix intersection, is investigated under various external effects. Nanotube is first formed as having a small local curvature. Van der Waals forces existing between the carbon nanotube walls are taken into consideration.
KEYWORDS
PAPER SUBMITTED: 2020-05-26
PAPER REVISED: 2020-10-20
PAPER ACCEPTED: 2020-10-28
PUBLISHED ONLINE: 2021-01-24
DOI REFERENCE: https://doi.org/10.2298/TSCI200526009K
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Special issue 1, PAGES [77 - 88]
REFERENCES
  1. Akbarov, S.D., Guz, A.N., Stress State of a Fiber Composite with Curved Structures with a Low Fiber Concentration, Soviet Applied Mechanics, 21 (1985), 6, pp. 560-565.
  2. Akbarov, S.D. and Guz, A.N., Method of Solving Problems in the Mechanics of Fiber Composites with Curved Structures, Soviet Applied Mechanics, 20 (1985c), 9, pp. 777-790.
  3. Akbarov, S.D. and Guz, A.N., Mechanics of Curved Composites, Kluwer Academic Publishers, Netherlands, 2000.
  4. Akbarov, S.D., and Guz, A.N., Mechanics of Curved Composites (Piecewise Homogeneous Body Model), International Applied Mechanics, 38 (2002), 12, pp. 1415-1439.
  5. Akbarov, S.D., Guz, A.N., Mechanics of Curved Composites and Some Related Problems for Structral Members, Mechanics of Advanced Materials and Structures, 11 (2004), 6, pp. 445-515.
  6. Akbarov, S.D., and Kosker, R., On a Stresss Analysis in the Infinite Elastic Body with Two Neighbouring Curved Fibers, Composites Part B, 34 (2003), pp. 143-150.
  7. Akbarov, S.D. and Kosker, R., Internal Stability Loss of Two Neighboring Fibers in a Viscoelastic Matrix, Internal Journal of Engineering Science, 42 (2004), pp. 1847-1873.
  8. Coban F., İçi boş yerel eğrilikli tek lif içeren sonsuz elastik ortamda gerilme yayılımı, M.A. Thesis, Yıldız Technical University, İstanbul, Turkey, 2009.
  9. Hutchens, S.B., Needleman, A., and Greer, J.R., Analysis of uniaxial compression of vertically aligned carbon nanotubes, Journal of the Mechanics and Physics of Solids, 59 (2011), pp. 2227-2237.
  10. Yeh, M.K., Hsieh, T. H., and Tai, N.H., Fabrication and mechanical Properties of multi-walled carbon nanotubes/epoxy nanocomposites, Materials Science and Engineering A 483-484, (2006), pp. 289-292.
  11. Yeh, M.K., Tai, N.H., and Lin, Y.J., Mechanical Properties of phenolic-based nanocomposites reinforced by multi-walled carbon nanotubes and carbon fibers, Composites Part A Applied Science and Manufacturing, 39 (2008), pp. 677-684.
  12. Kalamkarov, A.L., Georgiades, A.V., Rokam, S.K., Veedu, V.P., and Ghasemi-Nejhad M.N., Analytical and numerical techniques to predict carbon nanotubes properties, International Journal of Solids and structures, 43 (2006), pp. 6832-6854
  13. Xiaohu, Y., and Qiang, H., Investigation of Axially Compressed Buckling of a Multi-Walled Carbon Nanotube Under Temprature Field, Composite Science and Technology, 67 (2006), pp. 125-134
  14. Zhbanov, A., Pogorelov, E., and Chang, Y., Van der Waals Interaction Between Two Crossed Carbon Nanotubes, ACS Nano, 4 (2010), pp. 5937-5945
  15. Li, C., and Chou, T., A structural mechanics approach for the analysis of carbon nanotube. International Journal of Solids and Structures, 40 (2003), pp. 2487-2499
  16. Ru, C. Q., Effect of van der Waals forces on axial buckling of a double-walled carbon nanotubes, Journal of Applied Physics, 87 (2000), 10, pp. 7227-7231.
  17. Shokrieh, M., Rafiee, R., Investigation of nanotube length effect on the reinforcement efficiency in carbon nanotube based composites, Composite Structures, 92 (2010), pp. 2415-2420.
  18. Georgantzinos, S.K., Giannopoulos, G.I., and Anifantis, N.K., Investigation of stress-strain behavior of single walled carbon nanotube/rubber composites by a multi-scale finite element method, Theoretical and Applied Fracture Mechanics, 52 (2009), pp. 158-164.
  19. Ru, C.Q., Column buckling of multiwalled carbon nanotubes with interlayer radial displacements, Phys. Rev. B., 62 (2000), pp. 16962-16967.
  20. Shen, H.S., Postbuckling prediction of double-walled carbon nanotubes under hydrostatic pressure, International Journal of Solids and Structures, 41 (2004), pp. 2643-2657.
  21. Thai, H.T., A nonlocal beam theory for bending, buckling and vibration of nanobeams, International Journal of Engineering Science, 52 (2012), pp. 56-64
  22. Jochum, C.H., and Grandidier, J.C., Microbuckling elastic modeling approach of a single carbon fibre embedded in an epoxy matrix, Composites Science and Technology 64 (2004), pp. 2441-2449.
  23. Lourie, O., Cox, D.M., and Wagner, H.D., Buckling and collapse of embedded carbon nanotubes, Physics Review Letters 81 (1998), pp. 1638-1641.
  24. Young, R.J., Kinloch, I.A., Gong, L., and Novoselov, K.S., The mechanics of graphene nanocomposites a review, Composites Science and Technology 72 (2012), pp. 1459-1476
  25. Guz, I.A., Continuum solid mechanics at nano-scale how small can it go?, Journal of Nanomaterials Molecules and Nanotechnology, 1 (2012), 1.
  26. Duan, H.L., Wang, J., and Karihaloo, B.L., Theory of elasticity at the nanoscale, Advanced Applied Mechanics, 42 (2009), 1, pp. 1-68.
  27. Windle, A.H., Two defining moments A personal view by Prof. Alan H. Windle, Composites Science and Technology, 67 (2007), pp. 929-930.
  28. Harik, V.M., Ranges of applicability for the continuum beam model in the mechanics of carbon nanotubes and nanorods, Solid State Communications, 120 (2001), pp. 331-335.
  29. Guz, A.N., and Rushchidsky, J.J., Nanomaterials on the mechanics of nanomaterials, International Applied Mechanics 39 (2003), pp. 1271-1293.
  30. Guz, A.N., and Rushchidsky, J.J., Short Introduction to Mechanics of Nanocomposites, Scientific & Academic Publishing, 2012.
  31. Çoban, F., Yerel Eğrilikli İki ve Üç Duvarlı Karbon Nanotüplerin Gerilme ve Stabilite Analizi, Ph.D. Thesis, Yıldız Technical University, İstanbul, Turkey, 2016.
  32. Akbarov, S.D., Microbuckling of a doublewalled carbon nanotube embedded in an elastic matrix, International of Solids and Structures, 50 (2013), pp. 2584-2596.
  33. Guz, A.N., Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies, Berlin Springer-Verlag, 1999.
  34. Köşker, R., On Internal Stability Loss of a Row Unidirected Periodically Located Fibers In the Visco-Elastic Matrix, Thermal Science, 23 (2019), S1, pp. 427-438.

© 2021 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence