2008
DOI: 10.1103/physreve.78.066115
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Shock formation and the ideal shape of ramp compression waves

Abstract: We derive expressions for shock formation based on the local curvature of the flow characteristics during dynamic compression. Given a specific ramp adiabat, calculated for instance from the equation of state for a substance, the ideal nonlinear shape for an applied ramp loading history can be determined. We discuss the region affected by lateral release, which can be presented in compact form for the ideal loading history. Example calculations are given for representative metals and plastic ablators. Continuu… Show more

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Cited by 46 publications
(31 citation statements)
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“…Temporal laser pulse shaping was used to optimize the ramp profile using a model based on [12,13] resulting in an exponential type laser profile. To ensure a uniform compression front, a Hybrid Phase Plate (HPP) was used to obtain a smooth flat laser profile of 1 mm-diameter, considerably larger than the sample thickness, which implies conditions of uniaxial strain during the measurement.…”
Section: Methodsmentioning
confidence: 99%
“…Temporal laser pulse shaping was used to optimize the ramp profile using a model based on [12,13] resulting in an exponential type laser profile. To ensure a uniform compression front, a Hybrid Phase Plate (HPP) was used to obtain a smooth flat laser profile of 1 mm-diameter, considerably larger than the sample thickness, which implies conditions of uniaxial strain during the measurement.…”
Section: Methodsmentioning
confidence: 99%
“…[660][661][662][663] Ramp compression can be achieved by driving a target with the forward-moving ejecta that are released from a shock-compressed material 664 or with a slowly rising laser pulse that acts to continually increase the pressure on the target. [665][666][667][668] By controlling the rate of rise, one can ensure that the waves of increasing compression will not overtake earlier ones, producing a shockless compression of the material. Diamond is a favored material because its high strength allows it to be compressed without shocks.…”
Section: Equation Of Statementioning
confidence: 99%
“…In real ICEs, shock wave transitions often occur midway on the loading pressure history rather than on their fronts. Aside from the expression mentioned above, there are two more improved RST conditions given by Swift et al 3 One is in Lagrangian form, the another in Eulerian form. From the Lagrangian form, Eq.…”
Section: Comparison With Previous Workmentioning
confidence: 99%
“…The equation of state (EOS) for condensed matter at extreme pressures is an important issue in geoplanetary physics, condensed state physics, and many related fields. 1 Two widely used approaches to measure dynamic compressibility and EOS parameters of materials are shock compression, by either planar flyer impact or laser-induced shock wave, and isentropic compression using expanding gases from the detonation of chemical explosives, 2 graded density impactors, 3 magnetic pressure loading, 4-7 loading by an expanding plume of vapor generated by laser-ablated samples, 8 or separate "pressure reservoir" films. 9 Shock compression in metals can attain multi-Mbar pressures, even above 1 TPa pressures, [10][11][12][13] but generate simultaneously high elevated temperatures in samples.…”
mentioning
confidence: 99%
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