Split Hopkinson Pressure Bar Data Reduction Methodology for Linear Materials with Memory
Publication: Journal of Engineering Mechanics
Volume 138, Issue 9
Abstract
The classic split-Hopkinson pressure bar (SHPB) data reduction methodology is revisited. A complete one-dimensional analysis of the SHPB system is presented for linear-elastic and viscoelastic specimens, for which the specimen and bar diameters are equal. In general, the assumptions inherent in the classic SHPB data reduction method are found to be inconsistent. However, the classic SHPB data reduction scheme is applicable in the case of acoustically soft materials. These analyses are extended to explain major issues in the general linear elastic case, including materials with regular and singular memory. Exact expressions for the average stress and strain in the specimen and Fourier transform of the memory kernel function in terms of experimental parameters in the quasi-static limit are formulated. Dynamic adjustments associated with elastic and viscous relaxation processes are also derived.
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Acknowledgments
The funding for this research provided by the Composite Materials Research (CMR, DAAD19-01-2-0001) and Composite Materials Technology (CMT, DAAD19-01-2-0005) programs from the Army Research Laboratory is gratefully acknowledged.
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Published In
Journal of Engineering Mechanics
Volume 138 • Issue 9 • September 2012
Pages: 1157 - 1164
Copyright
© 2012. American Society of Civil Engineers.
History
Received: Aug 16, 2011
Accepted: Feb 16, 2012
Published online: Feb 21, 2012
Published in print: Sep 1, 2012
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