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Defination of length-scale parameter in Eringen’s Nonlocal Elasticity via Nolocal Lattice and Finite Element Formulation
Author(s) -
Büşra Uzun,
Hayri Metin Numanoğlu,
Ömer Cívalek
Publication year - 2018
Publication title -
international journal of engineering and applied sciences
Language(s) - English
Resource type - Journals
eISSN - 1309-7997
pISSN - 1309-0267
DOI - 10.24107/ijeas.471539
Subject(s) - finite element method , vibration , elasticity (physics) , lattice (music) , mathematics , mathematical analysis , classical mechanics , physics , quantum mechanics , acoustics , thermodynamics
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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