This short brief develops a model for the velocity of longitudinal wave propagation in auxetic rods. Due to the large density change in auxetic solids and significant lateral deformation for Poisson's ratio between −1 and −0.5, this note takes into consideration density correction and lateral inertia. Results show that deviation from the elementary wave propagation model becomes more significant the more the Poisson's ratio of the rod material deviates from 1/4, in which the deviation of wave velocity is insignificant for Poisson's ratio in the positive range, but significant in the negative range. Specifically, the tensile and compressive wave velocity increases and decreases, respectively, for Poisson's ratio less than 1/4, but this trend reverses for Poisson's ratio greater than 1/4. In addition to showing that the elementary wave propagation model is invalid for describing the longitudinal wave velocity in auxetic rods, the results also suggest that auxetic materials are useful for applications that require slowing down and speeding up of compressive and tensile wave propagations, respectively.
Skip Nav Destination
Article navigation
April 2015
Technical Briefs
Longitudinal Wave Velocity in Auxetic Rods
Teik-Cheng Lim
Teik-Cheng Lim
School of Science and Technology,
e-mail: alan_tc_lim@yahoo.com
SIM University
,461 Clementi Road
,Singapore S599491
e-mail: alan_tc_lim@yahoo.com
Search for other works by this author on:
Teik-Cheng Lim
School of Science and Technology,
e-mail: alan_tc_lim@yahoo.com
SIM University
,461 Clementi Road
,Singapore S599491
e-mail: alan_tc_lim@yahoo.com
Contributed by the Materials Division of ASME for publication in the JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY. Manuscript received May 23, 2014; final manuscript received December 15, 2014; published online January 30, 2015. Assoc. Editor: Vadim V. Silberschmidt.
J. Eng. Mater. Technol. Apr 2015, 137(2): 024502 (3 pages)
Published Online: April 1, 2015
Article history
Received:
May 23, 2014
Revision Received:
December 15, 2014
Online:
January 30, 2015
Citation
Lim, T. (April 1, 2015). "Longitudinal Wave Velocity in Auxetic Rods." ASME. J. Eng. Mater. Technol. April 2015; 137(2): 024502. https://doi.org/10.1115/1.4029531
Download citation file:
Get Email Alerts
Related Articles
Smooth Yield Surface Constitutive Modeling for Granular Materials
J. Eng. Mater. Technol (January,2017)
Analysis and Interpretation of Longitudinal Waves in Periodic Multiphase Rods Using the Method of Reverberation-Ray Matrix Combined With the Floquet-Bloch Theorem
J. Vib. Acoust (February,2014)
Parametric Instability of Circular Cylindrical Shells
J. Appl. Mech (December,1967)
Computational Investigation of the Effective Mechanical Behavior for 3D Pre-Buckled Auxetic Lattices
J. Appl. Mech (November,2019)
Related Proceedings Papers
Related Chapters
Fatigue Analysis in the Connecting Rod of MF285 Tractor by Finite Element Method
International Conference on Advanced Computer Theory and Engineering, 4th (ICACTE 2011)
In Situ Observations of the Failure Mechanisms of Hydrided Zircaloy-4
Zirconium in the Nuclear Industry: 20th International Symposium
Role of Surface Analysis
Micro and Nanotribology