Longitudinal strain waves propagating in an infinitely long cylindrical rod composed of generally incompressible materials and its Jacobi elliptic function solutions

Rathinavel Silambarasan, Haci Mehmet Baskonus, R. Vijay Anand, M. Dinakaran, Balamurugan Balusamy and Wei Gao

Mathematics and Computers in Simulation (MATCOM), 2021, vol. 182, issue C, 566-602

Abstract: The axisymmetric longitudinal waves propagating in the long infinite cylindrical rod composed of material and structural constants, combinedly called as general incompressible materials, are derived using the perturbation reduction method as the far-field equation in the form of KdV equation in Dai and Huo (2002). In this work, the F expansion method is applied to the far-field equation and the properties of longitudinal strain waves travelling in the cylindrical rod are studied. The behaviour of the strain waves is analysed with the material and structural constants. To support the study, the graphs are drawn in the two and three dimensional surfaces. The obtained longitudinal strain waves are in the form of Jacobi elliptic function and necessary condition for the existence of each wave is provided.

Keywords: Longitudinal strain waves; Material and structural constants; Cylindrical rod and Jacobi elliptic function (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475420304031
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:182:y:2021:i:c:p:566-602

DOI: 10.1016/j.matcom.2020.11.011

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().