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A comparison of quasi-static uniaxial-strain and hugoniot tests for quartz-phenolic composite

A comparison is made between quasi-static uniaxial-strain and dynamic uniaxial-strain (hugoniot) tests on quartz-phenolic composite

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Abstract

The purpose of this paper is to show that, within experimental uncertainty, the change in volume with stress obtained by quasi-static uniaxial-strain tests matches that obtained by hugoniot experiments over the same pressure range for quartz phenolic. The result of these tests shows that comparing the data by both techniques is meaningful. In addition, the use of the relatively simple and inexpensive quasi-static uniaxial-strain test (strain rates of 10−4/sec) may provide designers and materials engineers a method for rapid surveying of materials for their hugoniot properties.

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Abbreviations

σ 1 :

principal stress in axial direction

σ 2 :

σ 3, principal stresses in transverse direction (they are equal due to symmetry)

ɛ 1 :

principal strain in axial direction

\(\varepsilon _2 = \varepsilon _3\) :

0, principal strains (zero in transverse direction for uniaxial strain)

θ m :

(1/3)\((\sigma _1 + 2\sigma _2 )\) mean normal stress

\(\sqrt {J'2}\) :

\((1/\sqrt 6 )[(\sigma _1 - \sigma _2 )^2 + (\sigma _2 - \sigma _3 )^2 + (\sigma _1 - \sigma _3 )^2 ]^{{\raise0.5ex\hbox{$\scriptstyle 1$}\kern-0.1em/\kern-0.15em\lower0.25ex\hbox{$\scriptstyle 2$}}}\)=square root of the second deviatoric invariant stress

ρ:

density

v :

1/ρ=specific volume

U :

shock-front velocity

u :

particle velocity

E :

specific internal energy

ΔV/V o :

volumetric strain=\(\varepsilon _1 + \varepsilon _2 + \varepsilon _3\)

References

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Authors and Affiliations

  1. Terra Tek, Inc., 84108, Salt Lake City, UT

    F. H. Shipman (Project Engineer), S. J. Green (President) & R. M. Griffin (Design Engineer)

Authors
  1. F. H. Shipman
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  2. S. J. Green
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  3. R. M. Griffin
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Shipman, F.H., Green, S.J. & Griffin, R.M. A comparison of quasi-static uniaxial-strain and hugoniot tests for quartz-phenolic composite. Experimental Mechanics 13, 172–176 (1973). https://doi.org/10.1007/BF02322672

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  • DOI: https://doi.org/10.1007/BF02322672

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