Wide-Range Characteristic Thermodynamic Curves

Калиткин, Н. Н.; Kuzmina, L. V.

doi:10.1007/978-1-4757-4048-6_4

Cited by 7 publications

(3 citation statements)

References 17 publications

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“…In this framework, a wide P range is divided into three regimes and the Hugoniot is constructed in each of these regimes and then interpolated smoothly between them. These regimes are: (i) the low-P regime in which the Hugoniot is described by U s = C + B U p , where the values of C and B come from the experiment; (ii) the intermediate-P regime (discussed in more detail below) where the Hugoniot is described by the Thomas-Fermi-Kalitkin (TFK) model [23,24]…”

Section: Principal Hugoniot In a Wide Pressure Rangementioning

confidence: 99%

“…p , with the values of c, b, and a determined virtually for all Zs (Z being the atomic number) [23][24][25]; and (iii) the high-P regime in which the Hugoniot is described by the Debye-Hückel-Johnson (DHJ) model [26][27][28]. The only assumption made was that the principal Hugoniot is goverened by some function U s = U s (U p ) (which is linear at low P and quadratic at intermediate P; its high-P form was established in [22]) and that this function is continuous and smooth (the first derivative dU s /dU p is continuous) at all U p .…”

Section: Principal Hugoniot In a Wide Pressure Rangementioning

confidence: 99%

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Principal Hugoniots of Promethium, Terbium, Thulium, Lutetium, and Actinium in a Wide Pressure Range

Burakovsky,

Preston,

Ramsey

et al. 2023

Applied Sciences

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We present the analytic forms of the principal Hugoniots of actinium (Ac) and the lanthanide promethium (Pm), which have both never been measured or calculated before, as well as those of terbium (Tb), thulium (Tm), and lutetium (Lu), the three least studied of the remaining lanthanides. They are based on our new analytic model of principal Hugoniot. A comparison of the five Hugoniots to our own independent theoretical calculations demonstrates very good agreement in every case, but each of the Hugoniots of Tb, Tm, and Ac from the TEFIS database, which ours are also compared to, appear to violate Johnson’s theoretical constraint 4<ηmax<7 for the maximum compression ratio ηmax, which corresponds to the Hugoniot turnaround point. Possible reason for this behavior of the TEFIS Hugoniots is briefly discussed.

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Section: Principal Hugoniot In a Wide Pressure Rangementioning

confidence: 99%

Section: Principal Hugoniot In a Wide Pressure Rangementioning

confidence: 99%

Principal Hugoniots of Promethium, Terbium, Thulium, Lutetium, and Actinium in a Wide Pressure Range

Burakovsky,

Preston,

Ramsey

et al. 2023

Applied Sciences

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“…Parameter the calculation by Kalitkin and Kuzmina [10] was used. The functional form for the thermal volume V th is selected so that the following conditions are fulfilled:…”

Section: Elementmentioning

confidence: 99%

Thermodynamic analysis of light-actinide elements

Brosh

Makov²,

Shneck

2005

Journal of Nuclear Materials

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Modern Impact and Penetration Mechanics

Walker

2021

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This graduate text is indispensable for those wanting to see and understand the mechanics of extreme dynamic events. It describes in detail the mechanics and material models used in understanding impact and penetration events. Covers continuum mechanics, the Hugoniot jump conditions, plasticity theory, damage and failure theory, shock and wave propagation in both Eulerian and Lagrangian frameworks, and the high pressure and high-rate response of materials. Nonlinearity in response of materials and systems is a common theme, showing itself in interesting and surprising ways. Materials are studied through damage to failure, since in armor and protection applications materials are utilized all the way through failure. Continuum and constitutive modelling topics required for modern large-scale numerical simulation techniques are clearly described. Extensive exercises ensure comprehension and explore new topics. This text is appropriate for a variety of graduate courses, including Continuum Mechanics, Advanced Solid Mechanics, and Plasticity and Inelasticity Theory.

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Wide-Range Characteristic Thermodynamic Curves

Cited by 7 publications

References 17 publications

Principal Hugoniots of Promethium, Terbium, Thulium, Lutetium, and Actinium in a Wide Pressure Range

Principal Hugoniots of Promethium, Terbium, Thulium, Lutetium, and Actinium in a Wide Pressure Range

Thermodynamic analysis of light-actinide elements

Modern Impact and Penetration Mechanics

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