Dergiler / International Journal of Engineering and Applied Sciences / 2018 / Cilt: 10 - Sayı: 3

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

Sayfa
264–275
Yayın Tarihi
2018-11-04
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Weak form and final finite element formulation for axial vibration case have been derived.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Nonlocal elasticity theory is one of the popular approaches for nano mechanic problems.
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Temel Bulgular & Veri:In this study, nonlocal parameter is defined via different approach.
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Sonuç & Katkı:Weak form and final finite element formulation for axial vibration case have been derived.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Nonlocal elasticity · finite element · axial vibration

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.

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Bu Makaleye Atıf Yap

UZUN, B., NUMANOĞLU, H. M., CİVALEK, 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, Cilt: 10 - Sayı: 3, 264–275. https://ajindex.com/articles/766629

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Kaynakça (17)

  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.
  9. Eringen, A. C., Nonlocal polar field theories, Continuum physics, 4(Part III), 205-264, 1976.
  10. Eringen, A. C., Screw Dislocation in Nonlocal Elasticity, Journal of Physics D-Applied Physics, 10(5), 671-678, 1976. doi: 10.1088/0022-3727/10/5/009. Eringen, A. C., On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves, Journal of applied physics, 54(9), 4703-4710, 1983.
  11. Eringen, A. C., Nonlocal continuum field theories, Springer Science & Business Media, 2002.
  12. Eringen, A. C., Edelen, D. G. B., On nonlocal elasticity, International Journal of Engineering Science, 10(3), 233-248, 1972.
  13. Eringen, A. C., Kim, B. S., Stress concentration at the tip of crack, Mechanics Research Communications, 1(4), 233-237, 1974.
  14. Eringen, A. C., Kim, B. S., Relation between Nonlocal Elasticity and Lattice-Dynamics, Crystal Lattice Defects, 7(2), 51-57, 1977.
  15. Lazar, M., Maugin, G. A., Aifantis, E. C., On a theory of nonlocal elasticity of bi-Helmholtz type and some applications, International Journal of Solids and Structures, 43(6), 1404-1421, 2006.
  16. Mercan, K., Civalek, O., DSC method for buckling analysis of boron nitride nanotube (BNNT) surrounded by an elastic matrix, Composite Structures, 143, 300-309, 2016.
  17. Baltacıoglu, A. K., Akgoz, B., Civalek, O., Nonlinear static response of laminated composite plates by d