Abstract
The strain-rate dependent tensile response of a transparent elastomer, polyurea, is determined at stretch-rates in the range of 800 to 8000 per second. This is accomplished by measuring the spatio-temporal evolution of the particle velocity and strain in a thin strip subjected to high speed impact loading that generates uniaxial stress conditions. The observed response is modeled using a modified viscoplastic constitutive relation.
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Notes
In fact, there is never a truly linear region from which a proper elastic modulus can be extracted.
In some later tests, the specimen was glued to the slider to prevent slippage.
The transparency was influenced significantly by the mixing procedure; when the Versalink and Isonate were not mixed adequately, it resulted in an opaque, stiff polymer with a very small stretch to failure. By ensuring proper mixing with a stirrer, it was possible to obtain specimens that were transparent yellow in color.
See the Supplementary Material of Niemczura and Ravi-Chandar, [15] for a video of the propagation of nonlinear elastic waves in a polyisoprene rubber. The wave propagation observed in the polyurea appears to be very similar.
It should be noted that these plots result from taking derivatives of the position data; therefore there is an inherent error from numerical differentiation that has been smoothed by a moving average filter. Furthermore, the slider interacts frictionally with the guiding slots in the barrel and provides a nonuniform boundary condition at the attachment point.
We have introduced a constant k in an effort to allow more flexibility in calibrating the measured response. The physical meaning of this is that the equilibrium response is somewhat stiffer than the quasi-static response. In this matter, we can only present a heuristic argument, since a detailed micromechanical model is not available. We suppose that the quasistatic response is attained only at extremely slow rates, when all possible configurations of the polymer chains can be sampled; in contrast, under the high strain-rate loading employed here, we conjecture that only some fraction of the possible configurations are sampled, naturally leading to a stiffer response.
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Acknowledgments
This work was performed under a program entitled “Dynamic Response of Metal-Polymer Bilayers - Viscoelasticity, Adhesion and Failure” sponsored by the Office of Naval Research (ONR Grant Number N00014-09-1-0541, Program Manager: Dr. Roshdy Barsoum); this support is gratefully acknowledged.
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Albrecht, A.B., Liechti, K.M. & Ravi-Chandar, K. Characterization of the Transient Response of Polyurea. Exp Mech 53, 113–122 (2013). https://doi.org/10.1007/s11340-012-9663-8
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DOI: https://doi.org/10.1007/s11340-012-9663-8