On the equation of motion of the undeformed section of a Taylor impact specimen

Jones, Stanley E.; Gillis, Peter P.; Foster, Joseph C.

doi:10.1063/1.338249

Cited by 37 publications

(15 citation statements)

References 6 publications

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“…In that case, we have errors of +1% for measures of 000000000000 000000000000 000000000000 000000000000 000000000000 000000000000 000000000000 000000000000 000000000000 000000000000 000000000000 000000000000 000000000000 000000000000 000000000000 000000000000 000000000000 000000000000 000000000000 000000000000 000000000000 000000000000 000000000000 000000000000 000000000000 Figure 12: Ratio of final length to initial length of copper Taylor cylinders for various conditions. The data are from Wilkins and Guinan (1973); Gust (1982); Johnson and Cook (1983); Jones and Gillis (1987) and House et al (1995). Figure 13: Ratio of final length to initial length of copper Taylor cylinders for various conditions.…”

Section: Test Cu-1mentioning

confidence: 99%

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Effect of strain rate on microstructure of polycrystalline oxygen-free high conductivity copper severely deformed at liquid nitrogen temperature

Zhang

Shim

2010

Acta Materialia

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Phenomenological plastic flow stress models are used extensively in the simulation of large deformations of metals at high strain-rates and high temperatures. Several such models exist and it is difficult to determine the applicability of any single model to the particular problem at hand. Ideally, the models are based on the underlying (subgrid) physics and therefore do not need to be recalibrated for every regime of application. In this work we compare the Johnson-Cook, Steinberg-Cochran-Guinan-Lund, Zerilli-Armstrong, Mechanical Threshold Stress, and Preston-Tonks-Wallace plasticity models. We use OFHC copper as the comparison material because it is well characterized. First, we determine parameters for the specific heat model, the equation of state, shear modulus models, and melt temperature models. These models are evaluated and their range of applicability is identified. We then compare the flow stresses predicted by the five flow stress models with experimental data for annealed OFHC copper and quantify modeling errors. Next, Taylor impact tests are simulated, comparison metrics are identified, and the flow stress models are evaluated on the basis of these metrics. The material point method is used for these computations. We observe that the all the models are quite accurate at low temperatures and any of these models could be used in simulations. However, at high temperatures and under high-strain-rate conditions, their accuracy can vary significantly.

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Section: Test Cu-1mentioning

confidence: 99%

“…The length of the elastic zone in the cylinder (X f ) (Jones and Gillis (1987); House et al (1995)). …”

Section: Metricsmentioning

confidence: 99%

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Effect of strain rate on microstructure of polycrystalline oxygen-free high conductivity copper severely deformed at liquid nitrogen temperature

Zhang

Shim

2010

Acta Materialia

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“…The properties of target and penetrator materials ( [5], [6] and [7]), as well as reference numbers to be used for the remainder of this paper, are recorded in Table 1 First, the equal strength case is considered, specifically using a target and penetrator of material (2). In this case, µ is equal to one, and α is equal to zero, as they are defined in Equations 8 and 11.…”

Section: Resultsmentioning

confidence: 99%

“…As a final example, consider the penetration of a Rolled Homogenous Armor, RHA, target by a heavy metal projectile, DU-3/4Ti (Depleted uranium-70% Titanium). The density of the DU-3/4Ti is given in Table 1 and the dynamic strength is taken from Taylor cylinder test data repeated by Jones et al [6]. Penetration depth estimates require the same methods and equations used to find the theoretical penetration depths reported in Figures 3-8, as the penetrator strength is greater than the target strength.…”

Section: Total Dimensionless Penetration Depth Is Then Calculated In mentioning

confidence: 99%

Small Parameter Analysis of the Modified Tate Equations

Huguet

Reichwein

Jones

et al. 2007

Volume 4: Fluid-Structure Interaction

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Approved for public release; distribution is unlimited. REPORT DOCUMENTATION PAGE Form Approved OMB No. 0704-0188Public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing the burden, ARL-RP-199 SPONSOR/MONITOR'S ACRONYM(S) 9. SPONSORING/MONITORING AGENCY NAME(S) AND ADDRESS(ES) SPONSOR/MONITOR'S REPORT NUMBER(S) 12. DISTRIBUTION/AVAILABILITY STATEMENTApproved for public release; distribution is unlimited. SUPPLEMENTARY NOTESA reprint from the 2007 ASME Pressure Vessels and Piping Conference, San Antonio, TX, 22-26 July 2007. * College of Engineering, University of Alabama, Tuscaloosa, AL, 35487-0280 ABSTRACTThe Tate Theory of penetration of armor targets by long rod penetrators [1,2] has been the benchmark one-dimensional model of this event for decades. The model is applied to metal-on-metal normal impact of cylindrical rod penetrators. The key physical parameters in the model are the penetrator and target strengths and densities (assumed constant), as well as the penetrator length. With these parameters and the impact speed, penetration depth for all combinations of the parameters can be evaluated. In a recent paper, Walters et al [3] showed that all of the important effects of the classic Tate Theory could be captured by a regular perturbation solution of the fundamental equations. The small parameter that they used was ε =Y p /ρ p v 0 2 , where Y p is the penetrator yield strength, ρ p is the penetrator density and v 0 is the impact speed. In 1987, Jones et al [4] modified the equation of motion of the undeformed section to include mass loss and mushrooming at the interface with the target. The changes to the theory that result from these modifications bring the strengths of the target and penetrator into line with laboratory levels while achieving reasonable penetration depths. In this report, we will show that the regular perturbation analysis used by Walters et al [3] can be extended to the modified system of equations from Jones et al [4] using the same small parameter mentioned in the previous paragraph. The perturbation process is carried out to terms of first order and an approximate analytical solution is found. This solution is then used to repeat the reduction of data given by Wilson et al [5] for Aluminum and Steel alloy penetrators normally impacting Aluminum and Steel targets. Another case involving heavy metal penetrators impacting Rolled Hard Armor (RHA) targets is also presented. SUBJECT TERMS PVP200726046Page 1 SMALL PARAMETER ANALYSIS OF THE MODIFIED TATE EQUATIONS ABSTRACTThe Tate Theory of penetration of armor targets by long rod penetrators [1,2] has been the benchmark one-dimensional model of this event for decades. The model is ...

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