Study of the stressed state of shock-compressed solids by the method of principal stresses

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

doi:10.1007/bf00743812

Cited by 3 publications

(3 citation statements)

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“…Thus, strain rates can be obtained from 2U fs /P. Several investigators have studied the dynamic properties of vanadium under explosive loading [56], gas gun loading [57] and the split Hopkinson pressure bar technique [58]. The dynamic yield stress was established to be $480 MPa by Chabildas et al [57], in very good agreement with work by Bat'kov et al [56].…”

Section: Fragment Size Modelingmentioning

confidence: 80%

Laser shock-induced spalling and fragmentation in vanadium

et al. 2010

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Section: Fragment Size Modelingmentioning

confidence: 80%

Laser shock-induced spalling and fragmentation in vanadium

et al. 2010

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“…Results of the measurements using the principal stress method for armco iron and steel St.3 in the stress range 1.3 GPa ≤ σ 1 ≤ 25 GPa [11,13,14] may be described by the analytic functions:…”

Section: Iron and Steel St3mentioning

confidence: 99%

“…For paraffin, measurements using the principal stress method show that at σ 1 ≈ 2.3 GPa, a hydrostatic state occurs behind the shock front [14].…”

Section: Polymersmentioning

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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Stress relaxation in vanadium under shock and shockless dynamic compression

Kanel

Разоренов

Garkushin

et al. 2015

Journal of Applied Physics

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Evolutions of elastic-plastic waves have been recorded in three series of plate impact experiments with annealed vanadium samples under conditions of shockless and combined ramp and shock dynamic compression. The shaping of incident wave profiles was realized using intermediate base plates made of different silicate glasses through which the compression waves were entered into the samples. Measurements of the free surface velocity histories revealed an apparent growth of the Hugoniot elastic limit with decreasing average rate of compression. The growth was explained by “freezing” of the elastic precursor decay in the area of interaction of the incident and reflected waves. A set of obtained data show that the current value of the Hugoniot elastic limit and plastic strain rate is rather associated with the rate of the elastic precursor decay than with the local rate of compression. The study has revealed the contributions of dislocation multiplications in elastic waves. It has been shown that independently of the compression history the material arrives at the minimum point between the elastic and plastic waves with the same density of mobile dislocations.

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Study of the stressed state of shock-compressed solids by the method of principal stresses

Cited by 3 publications

References 5 publications

Laser shock-induced spalling and fragmentation in vanadium

Laser shock-induced spalling and fragmentation in vanadium

Dynamic Strength of Materials

Stress relaxation in vanadium under shock and shockless dynamic compression

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