PROPAGATION OF STRESS WAVE IN A FUNCTIONALLY GRADED NANO-BAR BASED ON MODIFIED COUPLE STRESS THEORY
DOI:
https://doi.org/10.2022/jmet.v7i1.538Abstract
In this paper, propagation of a one-dimensional elastic stress wave in a functionally graded (FG) nano-bar is analysed based on the modified couple stress theory. It is assumed that the material properties of FG bar are distributed as an exponential function along the axial direction. The two main advantages of the modified couple stress theory over the classical couple stress theory are the inclusion of a symmetric couple stress tensor and the involvement of only one material length scale parameter. According to the modified couple stress theory, only one material length scale parameter is used to describe the size effect in nano-bar. Also, the shear stress components come from the lateral inertia effect are considered in the elastic strain energy relation. Then, the governing equations are derived using Hamilton's principle and are generally solved. Finally, effects of length scale parameter, material inhomogeneity constant and Poisson's ratio on stress wave propagation velocity and harmonic behavior of stress wave are evaluated and can be observed that using the classical continuum theory leads to considerable errors in analysis of stress wave propagation.
Downloads
Downloads
Published
Issue
Section
License
JMET Copyright Principles
JMET seeks to retain copyright of the articles it publishes, without the authors giving up their right to use their own material.
Originality
The manuscript is neither been published before, nor is it under consideration for publication in any other journals. It contains no matter that is scandalous, obscene, libelous or otherwise contrary to law.
Terms of Acceptance
When the article is accepted for publication, the authors shall hereby agree to transfer to the Journal of Mechanical Engineering and Technology, all rights, including those pertaining to electronic forms and transmissions, under existing copyright laws, except for the following, which the author(s) specifically retain(s):
All proprietary right other than copyright, such as patent rights.
- The right to make further copies of all or part of the published article for my/our use in classroom teaching.
- The right to reuse all or part of this material in a compilation of my/our own works or in a textbook of which I/we am/are the author(s).
- The right to make copies of the published work for internal distribution within the institution that employs me/us.
The authors agree that copies made under these circumstances will continue to carry the copyright notice that appeared in the original published work. The authors agree to inform any co-authors, if any, of the above terms. The authors certify that they have obtained written permission for the use of text, tables, and/or illustrations from any copyrighted source(s), and they agree to supply such written permission(s) to Journal of Mechanical Engineering and Technology upon request.
