Strength of aluminum, copper and steel at front of shock wave

Bat'kov, Yu. V.; Glushak, B. L.; Novikov, S. A.

doi:10.1007/bf00772983

Cited by 8 publications

(7 citation statements)

References 3 publications

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“…Similar variations of viscosity with increasing pressure were observed in the solidstate region at dε/dt > 10 4 s -1 in [54]. The decrease in viscosity in the region of transition to melting on the shock adiabat is similar to variations of yield point and splitting strength [55,56].…”

Section: Discussion Of the Resultsmentioning

confidence: 51%

Measurements of the viscosity of iron and uranium under shock compression

Минеев

Funtikov

2006

High Temp

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Interest in studying the viscosity of iron and uranium is primarily associated with studying the stability of motion of envelopes made of these materials towards the center in spherically symmetric systems during the acceleration of the envelopes by the products of explosion and by shock waves. The experimental measurements of viscosity in the pressure range from 30 to 250 GPa involve the use of the method of evolution of harmonic oscillation preassigned at the front of shock wave propagating in iron and uranium. The resultant data are considered along with the estimates of the thermodynamic state of matter under shock compression.

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Section: Discussion Of the Resultsmentioning

confidence: 51%

Measurements of the viscosity of iron and uranium under shock compression

Минеев

Funtikov

2006

High Temp

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“…If the calibration of σ 1 is made with polymer insulation, then it can be surmised to be acceptable for the measurement of σ 2 . Further evidence is given in the results of the study of σ θ for steel St.3 in the elastic and elasticplastic deformation regions [13] (σ θ is the stress along the normal to the cross sections oriented at angle θ to the shock front plane). 6.5) suggest that stresses σ 1 and σ 2 taper off to a constant value.…”

Section: Methods For Measurement Of Principal Stressesmentioning

confidence: 99%

Dynamic Strength of Materials

Glushak¹,

Tyupanova²,

Bat'kov³

2006

Material Properties Under Intensive Dynamic Loading

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The methods used in practice for the acquisition and interpretation of experimental data pertaining to the resistance of materials to plastic-strain (shearstrength) are based on the concepts of the nature of motion of a material possessing strength and the features of high-rate deformation discussed in Chap. 1. These methods are briefly described below. Additional information on this topic is available to the reader in monographs [1-3], review [4], and the original papers cited in [1-4]. Comparison between the Shock Hugoniot and the Hydrostatic Compression IsothermGiven two assumptions: (1) material strength is isotropic, and (2) the difference between isothermal hydrostatic compression and the mean stress σ ii /3 is small, the dynamic yield strength is calculated to be the difference between the stress σ 1 on the elastic-plastic shock Hugoniot and the pressure P on the hydrostatic compression isotherm (given in terms of specific volume V (or strain ε)) as Y d = 3(σ 1 − P )/2. This approach to the estimation of Y d is limited to cases wherein the stresses σ 1 are relatively low, and the temperature rise during shock compression is modest (resulting in a thermal component of pressure that is low in comparison to the total pressure).For the aluminum alloy Al-2024, [5] recommends that for shock pressures in the 2.7 GPa ≤ σ 1 ≤ 9.4 GPa range, one should use the following relations for σ 1 (ε) (the normal stress component in a plane wave shock) and P (ε) (the hydrostatic compression) in calculations of the dynamic yield strength: σ 1 = 0.18 + 72.06ε − 347.1ε 2 (GPa); P = 75.9ε + 201ε 2 (GPa). This method for the evaluation of Y d , among other things, requires a highly accurate determination of the curves σ 1 (ε) and P (ε) since minor changes in ε can lead to significant changes in σ 1 and P .

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“…Yield point of copper versus pressure: points are experimental data for M1 copper alloy and[13], solid curve shows the results of calculations using formula(3).…”

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confidence: 99%

“…Thus, system (2) also describes the plastic stage of deformation of the rod. To obtain the dependence Y p (V ), we used experimental results [13] on the yield point for copper. Using the condition for one-dimensional deformation σ x = P + 2Y p /3, it is possible to obtain the dependence Y p (P ).…”

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Penetration of a copper rod into a sandy target

Kaminskii

Копытов

Mogilev

et al. 2010

J Appl Mech Tech Phy

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This paper presents the results of experimental and theoretical studies of high-velocity penetration of cylindrical copper rods into sand. The hydrodynamic Alekseevskii-Tate theory is modified to determine the penetration depth and wear velocity of the material of the rod penetrating into soil target in the plastic and hydrodynamic stages of penetration. The case where the target material is significantly less strong than the rod (impactor) material is considered.Introduction. The high-velocity penetration of long rods (impactors) into dense media includes two stages of deformation [1-3]: 1) plastic stage, where the decrease in the length of the solid part of the impactor occurs at a rate equal to the velocity of the longitudinal plastic wave C p ; 2) hydrodynamic stage, where the wear velocity of the impactor V − U exceeds the velocity of the longitudinal wave of plastic deformation (V is the velocity of the undeformed tail part of the impactor and U is the penetration velocity).The hydrodynamic stage of high-velocity penetration is adequately described by a modified hydrodynamic Alekseevskii-Tate theory (MHT) [4-8] based on the results of experimental studies of penetration of metal rods into high-strength (mainly metal) targets. However, high-velocity penetration of metal rods into porous soft soil media has been studied insufficiently (see, for example, [9]).One of the key parameters characterizing the high-velocity interaction of an impactor with a target in the hydrodynamic stage of penetration is the coefficient of relative penetration K = h/ΔL [h is the current penetration depth and ΔL is the shortening (wear) of the impactor]. The coefficient K allows one to predict the total wear depth of the impactor in the hydrodynamic stage in the case of stationary penetration. Stationarity is provided by a great (not less than sevenfold) elongation of the impactor (see, for example, [7]). According to the Alekseevskii-Tate model, the quantity K depends on the penetration velocity V 0 . As V 0 increases, the value of K decreases, approaching the asymptotic value given by the well-known Lavrent'ev formula [10] for the case of an ideal incompressible fluid:The objectives of the present work was to experimentally determine the critical velocity V * at which plastic deformation begins, the velocities of hydrodynamic transition V ht , and the velocities of a longitudinal plastic wave in a copper rod during its penetration into sand C p , and to improve the MHT to describe high-velocity penetration taking into account two stages of deformation of the impactor in the case where the target material is significantly less strong than the impactor material.1. Results of Experiments. The cylindrical copper impactors fired from ballistic facilities into soil had diameter d = 1 cm, length L 0 = 8.22 cm, and mass m = 57.5 g. The impactors were made of M1 copper alloy with a conventional yield point in compression σ 0.2 ≈ 290 MPa [11] and density ρ p = 8.9 g/cm 3 . Experimental data were obtained by x-ray photography of the penetra...

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Strength of aluminum, copper and steel at front of shock wave

Cited by 8 publications

References 3 publications

Measurements of the viscosity of iron and uranium under shock compression

Measurements of the viscosity of iron and uranium under shock compression

Dynamic Strength of Materials

Penetration of a copper rod into a sandy target

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