Storage and Loss Moduli of Low-Impedance Materials at kHz Frequencies

  • Wiroj Nantasetphong
  • Zhanzhan Jia
  • M. Arif Hasan
  • Alireza V. AmirkhiziEmail author
  • Sia Nmeat-Nasser
Conference paper
Part of the Conference Proceedings of the Society for Experimental Mechanics Series book series (CPSEMS)


Standard Dynamic Mechanical Analysis (DMA) is generally used to measure the mechanical properties of polymers at frequencies around and below 100 Hz. Ultrasonic (US) techniques measure wave speeds and impedances at higher frequencies. However, both approaches run into issues between the two regimes. DMA systems become less reliable due to the dynamic response of the frames and load path as one tries increasing the frequency. On the other hand, the internal multiple reflections in the wave propagation techniques introduce challenges in clean measurements and require careful analysis. In this presentation, we introduce a robust procedure for determining the storage and loss moduli of low-impedance materials, where a cylindrical sample is placed between two long metal bars, similar to SHPB technique. However, unlike SHPB, the incidence signal is created by a very light impact, to ensure that the sample does not experience permanent or large deformation. Furthermore, due to the length of the specimen, dynamic equilibrium is neither guaranteed nor intended. The reflected and transmitted pulses are measured using semi-conductor strain gages. The wave speed may be determined using a phase spectral analysis of the time-resolved signals. Determination of the material loss requires a more thorough transfer matrix analysis. The method was applied to a soft polyurea elastomer that was tested in a temperature-control chamber and results were compared with DMA and US data using time-temperature superposition (TTS). While the predictions of the storage modulus using DMA and TTS matched very well with the direct measurements, the DMA/TTS predictions generally underestimate the material loss at higher frequencies. We expect that this method may be applied successfully to other low impedance materials including foams and metamaterials.


Low impedance materials Polyurea Low frequency wave propagation Modified Hopkinson bar Impact 



This work has been conducted at the Department of Mechanical and Aerospace Engineering at University of California, San Diego and Department of Mechanical Engineering, University of Massachusetts, Lowell, and has been partially supported through DARPA and ONR grants to the two universities.


  1. 1.
    Nantasetphong, W., Jia, Z., Amirkhizi, A.V., Nemat-Nasser, S.: Dynamic properties of polyurea-milled glass composites Part I: Experimental characterization. Mech. Mater. 98, 142–153 (2016)CrossRefGoogle Scholar
  2. 2.
    Nantasetphong, W., Amirkhizi, A.: V and Nemat-Nasser S, Constitutive modeling and experimental calibration of pressure effect for polyurea based on free volume concept. Polymer. 99, 771–781 (2016)CrossRefGoogle Scholar
  3. 3.
    Qiao, J., Amirkhizi, A.V., Schaaf, K., Nemat-Nasser, S., Wu, G.: Dynamic mechanical and ultrasonic properties of polyurea. Mech. Mater. 43, 598–607 (2011)CrossRefGoogle Scholar
  4. 4.
    Qiao, J., Nantasetphong, W., Amirkhizi, A.V., Nemat-Nasser, S.: Ultrasonic properties of fly ash/polyurea composites. Mater. Des. 89, 264–272 (2016)CrossRefGoogle Scholar
  5. 5.
    Sachse, W., Pao, Y.H.: On the determination of phase and group velocities of dispersive waves in solids. J. Appl. Phys. 49, 4320 (1978)CrossRefGoogle Scholar
  6. 6.
    Nemat-Nasser, S., Sadeghi, H., Amirkhizi, A.V., Srivastava, A.: Phononic layered composites for stress-wave attenuation. Mech. Res. Commun. 68, 65–69 (2015)CrossRefGoogle Scholar

Copyright information

© The Society for Experimental Mechanics, Inc. 2019

Authors and Affiliations

  • Wiroj Nantasetphong
    • 1
  • Zhanzhan Jia
    • 2
  • M. Arif Hasan
    • 3
  • Alireza V. Amirkhizi
    • 4
    Email author
  • Sia Nmeat-Nasser
    • 3
  1. 1.SCG Chemicals Co., Ltd.BangsueThailand
  2. 2.Department of Mechanical EngineeringUniversity of ConnecticutStorrsUSA
  3. 3.Department of Mechanical and Aerospace EngineeringUniversity of California, San DiegoLa JollaUSA
  4. 4.Department of Mechanical EngineeringUniversity of Massachusetts, LowellLowellUSA

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