Numerical and theoretical determination of various materials Hugoniot relations based on the equation of state in high-temperature shock loading

Hallajisany, M.; Zamani, Jamal; Vitoria, José Albelda

doi:10.1080/08957959.2019.1699075

Cited by 5 publications

(4 citation statements)

References 36 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The Mie-Grüneisen EOS, which relates the pressure (P), specific volume (V), and internal energy (E), is widely used to characterize the behavior of metal materials in highpressure physics [17][18][19][20][21][22][23]. In the study by Heuzé [24], the general P(V, E) Mie-Grüneisen form was extended to a complete S(V, E) form, which could provide all of the thermodynamic properties.…”

Section: Introductionmentioning

confidence: 99%

Hugoniot States and Mie–Grüneisen Equation of State of Iron Estimated Using Molecular Dynamics

et al. 2021

View full text Add to dashboard Cite

The objective of this study was to develop a micromechanical approach for determining the Mie–Grüneisen EOS parameters of iron under the Hugoniot states. The multiscale shock technique (MSST) coupled with molecular dynamics (MD) simulations was employed to describe the shocked Hugoniot relation of single-crystal (SC) and nanocrystalline (NC) iron under high pressures. The Mie–Grüneisen equation of state (EOS) parameters, the cold pressure (Pc), the cold energy (Ec), the Grüneisen coefficient (γ), and the melting temperature (Tm) are discussed. The error between SC and NC iron results was found to be less than 1.5%. Interestingly, the differences in Hugoniot state (PH) and the internal energy between SC and NC iron were insignificant, which shows that the effect of grain size (GS) under high pressures was not significant. The Pc and Ec of SC and NC iron calculated based on the Morse potential were almost the same with those calculated based on the Born–Mayer potential; however, those calculated based on the Born–Mayer potential were a little larger at high pressures. In addition, several empirical and theoretical models were compared for the calculation of γ and Tm. The Mie–Grüneisen EOSs were shown on the 3D contour space; the pressure obtained with the Hugoniot curves as the reference was larger than that obtained with the cold curves as the reference.

show abstract

Section: Introductionmentioning

confidence: 99%

Hugoniot States and Mie–Grüneisen Equation of State of Iron Estimated Using Molecular Dynamics

et al. 2021

View full text Add to dashboard Cite

show abstract

“…The mass conservation and momentum conservation functions in SPH form are described as follows [24]: 1 ()…”

Section: Modeling Of Hemming With Adhesive Based On Sph-fem 21 Sph Model Of Hemming Adhesivementioning

confidence: 99%

“…SPH and FEM have different application objects and fields, but they are complementary. The coupling of SPH and FEM can be realized by contact algorithm [21,24], as shown in Figure 2. The contact force is added to SPH momentum equation and FEM equation in the form of external force:…”

Section: Sph-fem Coupling Algorithmmentioning

confidence: 99%

Numerical quantification model and experiment of external force on roller hemming of curved edge aluminium alloy with adhesive

Jian-jun

Zhu

2021

Preprint

View full text Add to dashboard Cite

Accurate quantification of external force is the key to improve the high-precision hemming of autobody closure panels. However, the mechanism of external force on forming quality of complex contour sheet metal with adhesive is not clear subjected to geometric curvature and materials. In the present study, taking the curved edge aluminum sheet as the research object, SPH (smooth particle hydrodynamics) is introduced to simulate the viscous adhesive, and the SPH-FEM (Finite element method) coupling model of adhesive and panel considering the viscosity-pressure effect is established. The numerical simulation of the roller hemming process is carried out, then the validity and reliability are verified by real-time measurement of external force by triaxial force sensor. The multi-step forming process and the effect of external force on the roll in/out, surface wave and plastic strain of aluminum alloy sheet under the viscosity-pressure effect are studied, and the relationship between process parameters and external force is discussed. Results show that the coupling SPH-FEM model can well reflect the hemming process of curved edge structure. The normal force is about 2~3 times of the tangential force in the pre and final hemming process. Compared with the case without adhesive, the surface wave of flange part of the hemming with adhesive is slightly larger.The normal force and the tangential force increase about 90 N and 30 N respectively, when the height increases by 1 cm. It provides an important basis for the accurate control of hemming trajectory and the improvement of manufacturing quality of autobody closure panels..

show abstract

“…It represents the phonon contribution to equations of state of solids as an interpolation between limiting cases of low and high temperatures . Equations of state of matter are necessary for analysis and numerical simulation of physical phenomena under extreme conditions of high temperatures and high pressures [19,[26][27][28][29][30][31][32][33][34][35][36][37][38][39][40].…”

Section: Introductionmentioning

confidence: 99%

Analytic approximation of the Debye function

Khishchenko¹

2020

MathMon

View full text Add to dashboard Cite

An expression in a closed form is proposed for the approximation of the Debyefunction used in thermodynamic models of solids. This expression defines an analytic functionthat has the same limiting behavior as the Debye function at low and high temperatures. Theapproximation gives the maximum relative deviation from the value of the Debye function lessthan 0.001. The proposed expression can be useful in the equations of state of solids in a widetemperature range.

show abstract

Numerical and theoretical determination of various materials Hugoniot relations based on the equation of state in high-temperature shock loading

Cited by 5 publications

References 36 publications

Hugoniot States and Mie–Grüneisen Equation of State of Iron Estimated Using Molecular Dynamics

Hugoniot States and Mie–Grüneisen Equation of State of Iron Estimated Using Molecular Dynamics

Numerical quantification model and experiment of external force on roller hemming of curved edge aluminium alloy with adhesive

Analytic approximation of the Debye function

Contact Info

Product

Resources

About