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
- Ari, N., Eringen A.C., Nonlocal Stress-Field at Griffith Crack, Crystal Lattice Defects and Amorphous Materials, 10(1), 33-38, 1983.
- Eringen, A. C., Linear theory of micropolar elasticity, Journal of Mathematics and Mechanics, 909-923, 1966.
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Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Authors
Ömer Civalek
*
0000-0003-1907-9479
Türkiye
Publication Date
November 4, 2018
Submission Date
October 10, 2018
Acceptance Date
November 3, 2018
Published in Issue
Year 2018 Volume: 10 Number: 3
Cited By
Examination of How Size-Effect Modifies the Stiffness and Mass Matrices of Nanotrusses/Nanoframes
International Journal of Engineering and Applied Sciences
https://doi.org/10.24107/ijeas.1036574