A new model for the time delay between elastic and plastic wave fronts for shock waves propagating in solids

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

doi:10.1007/s00193-018-0844-y

Cited by 3 publications

(1 citation statement)

References 64 publications

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“…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

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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.

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Section: Introductionmentioning

confidence: 99%

Analytic approximation of the Debye function

Khishchenko¹

2020

MathMon

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On the origin of the stress spike decay in the elastic precursor in shocked metals

Kositski

Mordehai

2019

Journal of Applied Physics

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High-strain rate experiments are commonly employed to study the dynamic strength of metals, by generating a plane shock wave and measuring the amplitude of the elastic precursor. In some cases, the shock wave is rapidly relaxed after the elastic precursor, leading to a spike in the stress wave. We propose that the observed spike and the following relaxation arise from the interplay between the rate by which dislocations are nucleated and the mobility of the existing ones. In addition, we suggest that the elastic precursor decays since glide takes a larger role in the plastic deformation as the plastic strain rate decreases. The interplay is demonstrated in a physically, dislocation-based dynamic strength model, using dislocation mobility rules from molecular dynamics simulations, as well as a dislocation nucleation model which is fitted using a metamodel optimization technique. Our results show that the stress spike and its decay in annealed body-centered cubic specimens arise from the need to nucleate dislocations to generate a plastic deformation when the mobility of existing dislocations is insufficient to accommodate plastic strain. Cold-rolled targets have sufficient amount of initial dislocations, so glide, rather than nucleation, can accommodate the plastic relaxation, and as such do not exhibit a spike. These insights shed light on the experimentally observed differences between dynamic and static strength of materials, and, in particular, on the anomalous dependence of the dynamic strength on temperature and pretreatment of materials at high-strain rates.

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Constitutive relations for slip and twinning in high rate deformations: A review and update

Armstrong

2021

Journal of Applied Physics

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Constitutive relations for slip and deformation twinning behaviors of a number of metals, including α-titanium, copper, α-iron, and tantalum materials, are described over a very large range in imposed strain rates. The focus is on application to higher-rate Taylor (solid cylinder) impact tests, split-Hopkinson pressure bar measurements, and shock as compared with ramp-type isentropic compression tests and including simulations of the corresponding dislocation-based deformation behaviors.

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A new model for the time delay between elastic and plastic wave fronts for shock waves propagating in solids

Cited by 3 publications

References 64 publications

Analytic approximation of the Debye function

Analytic approximation of the Debye function

On the origin of the stress spike decay in the elastic precursor in shocked metals

Constitutive relations for slip and twinning in high rate deformations: A review and update

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