Abstract
An experiment is described which makes possible simultaneous observations of tensile-wave profiles in the tubular portion and compressive-wave profiles in the solid portion of the same specimen. An elastic wave in a hard bar induces plastic deformation in the soft specimen on its arrival at the interface of the bar and the specimen. Stress history in the hard bar and strain, as well as surface-angle history in the specimen, are measured using wire resistance gages and Bell's diffraction-grating technique, respectively. Surface-angle measurements are shown to demonstrate that, during the passage of tensile waves, the stress state is one dimensional in the tubular specimen based on the premise and consistent with observation that the deformation is isochoric.
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Abbreviations
- R, Θ,X :
-
cylindrical coordinate system in the underformed reference configuration of the specimen
- X :
-
axial distance from the interface between the solid and the tubular sections of the specimen
- c p :
-
wave speed of an arbitrary amplitude of strain
- r, θ,x :
-
cylindrical coordinate system in the deformed configuration of the specimen
- u=x−X :
-
displacement in the axial direction
- u :
-
longitudinal particle velocity
- α:
-
surface-tangency angle at the gage location during the passage of largeamplitude waves
- \( \in = \frac{{\partial u}}{{\partial X}}\) :
-
nominal or engineering strain
- λ:
-
stretch in the axial direction
- μ:
-
stretch in the radial direction
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Khan, A.S. A study of one dimensionality and isochoric deformation during the passage of tensile waves. Experimental Mechanics 14, 57–63 (1974). https://doi.org/10.1007/BF02323127
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DOI: https://doi.org/10.1007/BF02323127