A Few-Parameter Equation of State and Its Application to the High-Velocity Interaction of Solids

2011 ◽  
Author(s):  
Evgeny I. Kraus ◽  
Vasily M. Fomin ◽  
Ivan I. Shabalin
Keyword(s):  
Equation Of State ◽  
High Velocity ◽  
Parameter Equation

Preliminary Study on the High-Pressure Equation of State of Concrete

2011 ◽  
Vol 261-263 ◽  
pp. 161-165
Author(s):  
Chu Jie Jiao ◽  
Guo Ping Jiang ◽  
Le Gao
Keyword(s):  
High Pressure ◽  
Equation Of State ◽  
High Velocity ◽  
Wave Speed ◽  
Volume Strain ◽  
Pressure Equation ◽  
Gas Gun ◽  
Shock Hugoniot ◽  
Preliminary Study ◽  
Relationship Of

The shock Hugoniot relationship of concrete was studied based on concrete test subjected to the high-velocity impacting loading by one stage gas gun. The P-U(pressure-partical speed) shock Hugoniot relationship curve of concrete was gained from the D-U(shocking wave speed-partical speed) curve of concrete, and the equation of volume pressure P and volume strain v was put forward according to the example analysis. Moreover, based on the polynomial Grьneisen equation, the parameters of high-pressure equation of state of concrete were got by fitting the test date, and the theoretical values from the equation matched well with the experimental ones.

A four-parameter equation of state

1983 ◽  
Vol 11 (1) ◽  
pp. 29-48 ◽  
Author(s):  
Yoshinori Adachi ◽  
Benjamin C.-Y. Lu ◽  
Hidezumi Sugie
Keyword(s):  
Equation Of State ◽  
Parameter Equation

Shock Modelling of Multi-Phase Materials: Advances and Challenges

2005 ◽  
Author(s):  
Lucio Raimondo ◽  
Lorenzo Iannucci ◽  
Paul Robinson ◽  
Paul T. Curtis ◽  
Garry M. Wells
Keyword(s):  
Equation Of State ◽  
High Velocity ◽  
Equations Of State ◽  
Flyer Plate ◽  
Low Velocity ◽  
Two Phase ◽  
Impact Modelling ◽  
State Models ◽  
Iterative Procedures ◽  
Multi Phase

This paper presents part of an ongoing programme of work on high velocity impact modelling on composite targets. The modelling approach aims to link existing low velocity constitutive failure models, including delamination modelling, with relevant orthotropic Equations Of State models. A methodology for predicting the Hugoniot states (shock velocity vs. particle velocity) of multi-phase materials at high compression is presented. The Gruneisen parameter of the mixture is also derived. The proposed approach is a step toward a full thermodynamic virtual characterisation of untested multi-phase materials, when tabulated shock data for the constituents is available [1]. Other approaches have been proposed [2], [3]; however, they require complex Finite Element coding and iterative procedures and are limited to two-phase materials. The approach is critically discussed in relation to shock data derived from existing flyer plate impact test data. An orthotropic Equation of State [4] has also been implemented into the LS-DYNA3D code. A flyer plate test is simulated using the implemented model, and with material parameters derived using the theory of mixture approach. The current orthotropic Equation of State formulation is discussed, within the limitation of classical Lagrangian FE techniques. Additionally, conclusions are drawn on the logical next step to model high velocity angled impacts onto orthotropic targets.

scholarly journals A New Method to Calculate the Pure Component Parameters of Any Two-Parameter Equation of State

2011 ◽  
Vol 2011 ◽  
pp. 1-6
Author(s):  
Isam H. Aljundi
Keyword(s):  
Equation Of State ◽  
Equations Of State ◽  
Saturated Vapor ◽  
Pure Component ◽  
New Method ◽  
Average Deviation ◽  
Cubic Equation ◽  
Parameter Equation ◽  
Temperature Dependences ◽  
Two Parameter

Reliable equations of state are very important in the design of refrigeration cycles, since thermodynamic properties can be calculated by simple differentiation. In this paper, a new method to calculate the parameters of any two-parameter equation of state is presented. The method is based on the use of Clapeyron equation and the experimental PVT data. This method was tested on a newly developed cubic equation of state and proved to be simple and fast. Results showed orders of magnitude enhancement in prediction of the saturated vapor pressure even near the critical region. The Percent Absolute Average Deviation (%AAD) was always less than 0.1 in the studied cases. It also showed that the parameters calculated using the original equation deviate strongly from the “experimental” values as the temperature decreases below the critical point. This method can be used to redefine the temperature dependences of these parameters and develop new mixing rules for the mixtures.

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