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Article type: Research Article
Authors: Montanez, Paul A. | Sievers, Peter
Affiliations: National Synchrotron Light Source, Brookhaven National Laboratory, Building 725D Upton NY 11973, USA | CERN – European Organization for Nuclear Research LHC Division, CH-1211 Geneva 23, Switzerland
Note: [] Corresponding author. Tel.: (631) 344-2785, Fax: (631) 344-3238, e-mail: paul.montanez@bnl.gov
Abstract: The present work concentrates on comparing a numerical code and a closed-form analytic solution for determining transient stress waves generated by an impinging, high-intensity proton pulse onto a perfectly elastic solid cylindrical target. The comparison of the two methods serves both to benchmark the physics and numerical methods of the codes, and to verify them against analytic expressions that can be established for calculating the response of the target for simple cases of loading and geometry. Additionally, the comparison elucidated the effects of approximations used in the computation of the analytic results. Two load cases have been investigated: (1) an instantaneously uniform thermal loading along the central core, and (2) a ramped and uniform thermal load applied along the central core. By validating these analytical results, the closed-form solution may be confidently used to “bound” the solution prior to initiating more detailed and comprehensive numerical studies.
Keywords: Finite element method, Fourier-Bessel series, Spallation target, Stress waves
DOI: 10.1080/10238160108200239
Journal: Journal of Neutron Research, vol. 9, no. 1, pp. 1-20, 2001
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