Shock Hugoniot Curves for Polymers with Different Crystallinity in 1GPa Region.

Based on the general shape of the curves describing experimental compressive stress-strain relations of flexible porous materials (e.g., flexible foams) which are known to depend on their relative density, a general mathematical functional dependence of the stress on the strain is proposed. The general function includes two constants. Using experimental and empirical information the values of these constants are determined, so that a final compressive stress-strain relation, in which the relative density is a parameter, is obtained. Good agreement is found when the presently developed empirical stress-strain relations are compared to experimental ones for a wide range of relative densities. The proposed compressive stress-strain relations are then used to derive shock Hugoniot relations for flexible porous materials. With the aid of these relations one can investigate the dynamic behavior of foams struck head-on by shock waves. The finally obtained empirical shock Hugoniot relations are found to be similar to experimental relations which are proposed in the literature. In addition, a mathematical investigation of the asymptotic behavior of the shock Hugoniot relations is conducted. The results of this investigation are found to agree excellently with actual experimental data.

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Thermodynamic conditions of shock Hugoniot curves in hot dense matter

High Energy Density Physics ◽

10.1016/j.hedp.2009.06.010 ◽

2010 ◽

Vol 6 (1) ◽

pp. 76-83 ◽

Cited By ~ 8

Author(s):

Quentin Porcherot ◽

Gérald Faussurier ◽

Christophe Blancard

Keyword(s):

Dense Matter ◽

Thermodynamic Conditions ◽

Shock Hugoniot ◽

Hugoniot Curves

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Path integral calculation of shock Hugoniot curves of precompressed liquid deuterium

Journal of Physics A General Physics ◽

10.1088/0305-4470/36/22/343 ◽

2003 ◽

Vol 36 (22) ◽

pp. 6159-6164 ◽

Cited By ~ 1

Author(s):

Burkhard Militzer

Keyword(s):

Path Integral ◽

Shock Hugoniot ◽

Hugoniot Curves

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Simulations of Shocked Methane Including Self-consistent Semiclassical Quantum Nuclear Effects

MRS Proceedings ◽

10.1557/opl.2013.1140 ◽

2013 ◽

Vol 1582 ◽

Author(s):

Tingting Qi ◽

Evan J. Reed

Keyword(s):

Computational Cost ◽

Atomistic Simulations ◽

Thermal Bath ◽

New Approach ◽

Multi Scale ◽

Self Consistent ◽

Shock Hugoniot ◽

Hugoniot Curves ◽

Bose Einstein ◽

Nuclear Effects

ABSTRACTA methodology is described for atomistic simulations of shock-compressed materials that incorporates quantum nuclear effects on the fly. We introduce a modification of the multi-scale shock technique (MSST) that couples to a quantum thermal bath described by a colored noise Langevin thermostat. The new approach, which we call QB-MSST, is of comparable computational cost to MSST and self-consistently incorporates quantum heat capacities and Bose-Einstein harmonic vibrational distributions. As a first test, we study shock-compressed methane using the ReaxFF potential. The Hugoniot curves predicted from the new approach are found comparable with existing experimental data. We find that the self-consistent nature of the method results in the onset of chemistry at 40% lower pressure on the shock Hugoniot than observed with classical molecular dynamics. The temperature change associated with quantum heat capacity is determined to be the primary factor in this shift.

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Experimental Determination of Shock Hugoniot for Water, Castor Oil, and Aqueous Solutions of Sodium Chloride, Sucrose and Gelatin

Materials Science Forum ◽

10.4028/www.scientific.net/msf.566.23 ◽

2007 ◽

Vol 566 ◽

pp. 23-28 ◽

Cited By ~ 1

Author(s):

A.B. Gojani ◽

Kazuyoshi Takayama

Keyword(s):

Sodium Chloride ◽

Shock Waves ◽

Aqueous Solutions ◽

Human Tissue ◽

Castor Oil ◽

Type Equation ◽

Basic Research ◽

Shock Hugoniot ◽

Hugoniot Curves

Shock waves are indispensable tools for medical applications, and hence their interactions with human tissue become one of the most important basic research topics. In this paper, the determination of shock Hugoniot curves for liquids that can model human tissue, namely water, castor oil, and aqueous solutions of sodium chloride, sucrose and gelatin, at 10 and 20 weight percent are presented. Underwater shock waves were generated by ignition of 10 mg silver azide pellets and time variations of over-pressures were measured and simultaneously the shock speed was measured by the time of flight technique. Then shock Hugoniot curves were obtained, by assuming the Tait type equation of state, to relate the estimated density and measured pressure values. Results show in the cases of aqueous solutions that increasing amount of additives into water causes only a very minute decrease in the compressibility of the solution. This difference was more pronounced in the case of sodium chloride, less for gelatin, and almost none for sucrose aqueous solution.

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Measuring the structure and equation of state of polyethylene terephthalate at megabar pressures

Scientific Reports ◽

10.1038/s41598-021-91769-0 ◽

2021 ◽

Vol 11 (1) ◽

Author(s):

J. Lütgert ◽

J. Vorberger ◽

N. J. Hartley ◽

K. Voigt ◽

M. Rödel ◽

...

Keyword(s):

Equation Of State ◽

Polyethylene Terephthalate ◽

Density Functional ◽

Equations Of State ◽

Md Simulations ◽

X Ray Diffraction ◽

Functional Theory ◽

Shock Hugoniot ◽

Highly Correlated

AbstractWe present structure and equation of state (EOS) measurements of biaxially orientated polyethylene terephthalate (PET, $$({\hbox {C}}_{10} {\hbox {H}}_8 {\hbox {O}}_4)_n$$ ( C 10 H 8 O 4 ) n , also called mylar) shock-compressed to ($$155 \pm 20$$ 155 ± 20 ) GPa and ($$6000 \pm 1000$$ 6000 ± 1000 ) K using in situ X-ray diffraction, Doppler velocimetry, and optical pyrometry. Comparing to density functional theory molecular dynamics (DFT-MD) simulations, we find a highly correlated liquid at conditions differing from predictions by some equations of state tables, which underlines the influence of complex chemical interactions in this regime. EOS calculations from ab initio DFT-MD simulations and shock Hugoniot measurements of density, pressure and temperature confirm the discrepancy to these tables and present an experimentally benchmarked correction to the description of PET as an exemplary material to represent the mixture of light elements at planetary interior conditions.

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