Research Article

Defination of length-scale parameter in Eringen’s Nonlocal Elasticity via Nolocal Lattice and Finite Element Formulation

Volume: 10 Number: 3 November 4, 2018
EN

Defination of length-scale parameter in Eringen’s Nonlocal Elasticity via Nolocal Lattice and Finite Element Formulation

Abstract

Nonlocal elasticity theory is one of the popular approaches for nano mechanic problems. In this study, nonlocal parameter is defined via different approach.  Nonlocal finite element formulations for axial vibration of nanorods have been given and some parameters are compared with the lattice dynamics. Weak form and final finite element formulation for axial vibration case have been derived.

Keywords

References

  1. Ari, N., Eringen A.C., Nonlocal Stress-Field at Griffith Crack, Crystal Lattice Defects and Amorphous Materials, 10(1), 33-38, 1983.
  2. Eringen, A. C., Linear theory of micropolar elasticity, Journal of Mathematics and Mechanics, 909-923, 1966.
  3. Eringen, A. C., A unified theory of thermomechanical materials, International Journal of Engineering Science, 4(2), 179-202, 1966.
  4. Eringen, A. C., Micropolar fluids with stretch, International Journal of Engineering Science, 7(1), 115-127, 1969.
  5. Eringen, A. C., Linear Theory of Nonlocal Elasticity and Dispersion of Plane-Waves, International Journal of Engineering Science, 10(5), 425-435, 1972.
  6. Thoft-Christensen, P., Continuum Mechanics Aspects of Geodynamics and Rock Fracture Mechanics: Proceedings of the NATO Advanced Study Institute held in Reykjavik, Iceland, 11—20 August, 1974. (Vol. 12), Springer Science & Business Media, 2012.
  7. Eringen, A. C., Nonlocal Polar Elastic Continua, International Journal of Engineering Science, 10(1), 1-16, 1972. doi: 10.1016/0020-7225(72)90070-5
  8. Eringen, A. C., On nonlocal fluid mechanics, International Journal of Engineering Science, 10(6), 561-575, 1972.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

November 4, 2018

Submission Date

October 10, 2018

Acceptance Date

November 3, 2018

Published in Issue

Year 2018 Volume: 10 Number: 3

APA
Uzun, B., Numanoğlu, H. M., & Civalek, Ö. (2018). Defination of length-scale parameter in Eringen’s Nonlocal Elasticity via Nolocal Lattice and Finite Element Formulation. International Journal of Engineering and Applied Sciences, 10(3), 264-275. https://doi.org/10.24107/ijeas.471539
AMA
1.Uzun B, Numanoğlu HM, Civalek Ö. Defination of length-scale parameter in Eringen’s Nonlocal Elasticity via Nolocal Lattice and Finite Element Formulation. IJEAS. 2018;10(3):264-275. doi:10.24107/ijeas.471539
Chicago
Uzun, Büşra, Hayri Metin Numanoğlu, and Ömer Civalek. 2018. “Defination of Length-Scale Parameter in Eringen’s Nonlocal Elasticity via Nolocal Lattice and Finite Element Formulation”. International Journal of Engineering and Applied Sciences 10 (3): 264-75. https://doi.org/10.24107/ijeas.471539.
EndNote
Uzun B, Numanoğlu HM, Civalek Ö (November 1, 2018) Defination of length-scale parameter in Eringen’s Nonlocal Elasticity via Nolocal Lattice and Finite Element Formulation. International Journal of Engineering and Applied Sciences 10 3 264–275.
IEEE
[1]B. Uzun, H. M. Numanoğlu, and Ö. Civalek, “Defination of length-scale parameter in Eringen’s Nonlocal Elasticity via Nolocal Lattice and Finite Element Formulation”, IJEAS, vol. 10, no. 3, pp. 264–275, Nov. 2018, doi: 10.24107/ijeas.471539.
ISNAD
Uzun, Büşra - Numanoğlu, Hayri Metin - Civalek, Ömer. “Defination of Length-Scale Parameter in Eringen’s Nonlocal Elasticity via Nolocal Lattice and Finite Element Formulation”. International Journal of Engineering and Applied Sciences 10/3 (November 1, 2018): 264-275. https://doi.org/10.24107/ijeas.471539.
JAMA
1.Uzun B, Numanoğlu HM, Civalek Ö. Defination of length-scale parameter in Eringen’s Nonlocal Elasticity via Nolocal Lattice and Finite Element Formulation. IJEAS. 2018;10:264–275.
MLA
Uzun, Büşra, et al. “Defination of Length-Scale Parameter in Eringen’s Nonlocal Elasticity via Nolocal Lattice and Finite Element Formulation”. International Journal of Engineering and Applied Sciences, vol. 10, no. 3, Nov. 2018, pp. 264-75, doi:10.24107/ijeas.471539.
Vancouver
1.Büşra Uzun, Hayri Metin Numanoğlu, Ömer Civalek. Defination of length-scale parameter in Eringen’s Nonlocal Elasticity via Nolocal Lattice and Finite Element Formulation. IJEAS. 2018 Nov. 1;10(3):264-75. doi:10.24107/ijeas.471539

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