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An experimental study of the effects of prestrain on the propagation of small disturbances in neoprene filaments

Phase velocity and attenuation coefficients were calculated as functions of frequency and initial prestrain from particle-velocity records taken during the passage of a pulse in a prestretched Neoprene filament

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Abstract

A small disturbance was caused to propagate along a long, slender, prestrained Neoprene filament. The particle velocity of the pulse was measured at two stations along the length of the filament by means of electromagnetic transducers which operate on the Faraday principle. Particle velocity vs. time data were obtained from oscilloscope photographs of the transducer outputs for each level of prestrain from 0 percent up to 400 percent engineering strain. The two particle-velocity records for each level of prestrain were subjected to linear viscoelastic analysis which employed the use of numerical Fourier transforms of the particle-velocity records. Computer programs were written which allowed computation of the numerical transforms and from them the computation of the phase velocity and attenuation coefficients of the material over the narrow frequency bandwidth of the Fourier spectra of the particlevelocity pulses. Data analysis revealed that, at a given frequency, the phase velocity increases significantly and that the attenuation coefficient decreases significantly with an increase in prestrain level over the range of prestrains of the tests.

These material properties, that of a decreasing attenuation and an increasing phase velocity with increasing prestrain, are suggestive of the open possibility of the ability of the material to develop and support a shock wave for a large-amplitude disturbance.

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Abbreviations

e :

voltage

β:

magnetic-field vector

L 0 :

conductor-length vector

V :

conductor-velocity vector

x :

vector cross product

·:

vector scalar product

∥:

is parallel to

\(\bar 0\) :

null vector

λ:

complex-wave number

ω:

circular frequency

x :

spatial coordinate

σ:

longitudinal normal stress

v,V :

longitudinal particle velocity

ε:

longitudinal extensional strain

L :

distance between transducers

n :

integer

C :

phase velocity

α:

attenuation coefficient

\(\bar v(x,\omega )\) :

Fourier integral transform ofv (x,t)

\(\bar \sigma (x,\omega )\) :

Fourier integral transform of σ (x,t)

\(\bar \varepsilon (x,\omega )\) :

Fourier integral transform of ε (x,t)

A,B :

integration constants

l n :

natural logarithm

f :

frequency in cycles/sec

t :

time

i :

\(\sqrt { - 1} \)

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Authors and Affiliations

  1. Southern Methodist University, Dallas, Texas

    H. Watson Jr. (Associate Professor)

  2. The University of Texas, Austin, Texas

    H. H. Calvit (Associate Professor)

Authors
  1. H. Watson Jr.
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  2. H. H. Calvit
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Watson, H., Calvit, H.H. An experimental study of the effects of prestrain on the propagation of small disturbances in neoprene filaments. Experimental Mechanics 12, 297–303 (1972). https://doi.org/10.1007/BF02320484

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  • DOI: https://doi.org/10.1007/BF02320484

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