Abstract
Analytic solutions for the time it takes an elastic Kolsky bar sample to achieve stress equilibrium and constant-strain-rate are presented. Using these solutions simple analytic criterion are derived that can be used either a posteriori to check the validity of a conducted experiment or a proiri to provide envelopes of validity under which tests could be conducted correctly on elastic-brittle materials.
Notes
Also known as a split-Hopkinson bar
defined as an arbitrarily small difference.
allowing for the assumption that a reasonable definition of “near” is less that 15.86%.
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Acknowledgements
The author would like to thank Dr. Micheal Forrestal for discussions and suggestions of references as well as Prof. Weinong Chen, Dr. Bo Song, and Mr. Erik Nishida for valuable discussions. Dr. Richard Lehoucq is also gratefully acknowledged for his guidance on the asymptotic simplifications of the wave equations.
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Foster, J. Comments on the Validity of Test Conditions for Kolsky Bar Testing of Elastic-Brittle Materials. Exp Mech 52, 1559–1563 (2012). https://doi.org/10.1007/s11340-012-9592-6
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DOI: https://doi.org/10.1007/s11340-012-9592-6