Upgraded Analytical Model of the Cylinder Test

Souers, P. C.; Lauderbach, Lisa; Garza, Raul; Ferranti, Louis; Vitello, P.

doi:10.1002/prep.201200192

Cited by 24 publications

(25 citation statements)

References 14 publications

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“…Figure 7 shows both the experimentally measured isentrope derived from the present incompressiblecase analysis (black curve) and the hydrocode-calibrated JWL isentrope (red) for PBX 9502 at the CJ detonation state [5]. 4 As with the 1-D approach [7], the experimental incompressible isentrope is lower than the JWL isentrope by about 30% over 1 < P < 15 GPa.…”

Section: P and ⌫ P For Compressible Case Motionmentioning

confidence: 99%

“…The incompressible case model can be used to estimate case shape and velocity from a given isentrope, providing a maximum fragment velocity. The detonation cylinder test is a standard performance experiment used to evaluate the capability of a condensed explosive to accelerate confining material [1][2][3][4]. The test configuration consists of an inert confiner tube tightly encasing a high explosive rod.…”

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confidence: 99%

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An analytic method for two-dimensional wall motion and product isentrope from the detonation cylinder test

Jackson

2015

Proceedings of the Combustion Institute

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The cylinder test provides a measurement of detonation product's ability to perform work on adjacent material. Historically, direct numerical simulation has been required to derive the product energy content and isentrope from experiments of cylinder expansion driven by detonation products. One-dimensional analytic methods have not been able to accurately recover these parameters when the cylinder motion is compressible, exhibiting shocks. For incompressible cylinder motion, analytic one-dimensional approximations more accurately recover the isentrope, but still only approximate the two-dimensional cylinder motion and energy. This work provides a fully two-dimensional model that recovers the exact outer cylinder shape from experimental measurements. The inner cylinder shape and product isentrope are also exactly recovered in the limit of incompressible case motion. An alternate methodology also approximates the inner case shape and isentrope for compressible case motion, e↵ectively allowing accurate isentrope determination for any cylinder

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Section: P and ⌫ P For Compressible Case Motionmentioning

confidence: 99%

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confidence: 99%

An analytic method for two-dimensional wall motion and product isentrope from the detonation cylinder test

Jackson

2015

Proceedings of the Combustion Institute

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“…This method improved the accuracy in the low-pressure region and had a better description than the result calculated by the code. Souers et al [9] recommended a considerable corrected Gurney-type equation added shock wave attenuation and air gap energy loss. The corrected equation helps to improve the accuracy of the identified parameters.…”

Section: Introductionmentioning

confidence: 99%

“…[6] Based on cylinder expansion test, various researches have been carried out to obtain JWL parameters. [1,[7][8][9] All of the methods can be summarized as two categories. One method is by a trial and error procedure.…”

Section: Introductionmentioning

confidence: 99%

Determination of the state parameters of explosive detonation products by computational inverse method

Liu

Han

et al. 2015

Inverse Problems in Science and Engineering

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A computational inverse method is presented to determine the state parameters of Jones-Wilkins-Lee (JWL) equation of explosive detonation products based on cylinder test. In this method, the inverse problem of identifying the JWL parameters is formulated through minimizing the errors of the measured radial displacements on the cylinder surface and those computed by the forward solver. An available numerical model simulated by finite element method is built for the sake of obtaining results using the given JWL parameters. Because of the difference of coordinate systems between experiment and numerical model, it is necessary to conduct the transformation between the two coordinate systems. The sensitivity analysis method is adopted to evaluate the influence of the JWL parameters on the responses and find out the parameters those are suitable to be identified. In order to improve the computational efficiency, radial basis function approximate model is constructed to replace the time-consuming numerical model. In the process of constructing approximate model, the truncated singular value decomposition method is used to deal with the ill-condition of the model. At last, the intergeneration projection genetic algorithm is adopted to identify the parameters. The numerical results demonstrate that the proposed inverse method is potentially available to effectively identify the JWL parameters.

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“…Scaling means to reduce all times and distances (but not velocities) to am ythical 12.7 mm inner wall radius, so that different sized shots may be easily compared.Equation (1) assumes the same wall thickness always, so correcting for copper wall-thinning came next [4]:where S and X are the inner radius and wall thickness at al ater time during expansion. We next corrected for the different directional angles used in the streak camera and with lasers [5,6].T his explained the difference between the streak camera and the laser experiments, but it left unanswered why half-wall tubes (wall 1/10th the radius) showed less wall loss than the standard full-wall (1/5th radius). Also unanswered was the question of how accurate the Cylinder test really is.…”

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Cylinder Test Correction for Copper Work Hardening and Spall

Souers

Roger

2015

Propellants Explo Pyrotec

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As a basis for the corrections to be discussed, an analytical equation is first presented for calculating detonation energy densities from copper wall velocities in the Cylinder test. Steinberg‐Guinan work hardening is sufficient for the Cylinder problem, between 1 and 60 GPa, with a change of Yo to 0.10 kJ cm−3 for annealed copper. An air gap correction was the first to be applied, which is a function of the initial air gap width and the tilt angle of the cylinder. Irreversible heat loss was also found to be a small error. Spall is calibrated using new copper gun shot data and this energy is also small. The model up through work hardening agrees with the code, which does not contain heat loss or spall, both of which equal the error of repetitive calculation. The effect of the many additions to the original Gurney energy is shown.

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Upgraded Analytical Model of the Cylinder Test

Cited by 24 publications

References 14 publications

An analytic method for two-dimensional wall motion and product isentrope from the detonation cylinder test

An analytic method for two-dimensional wall motion and product isentrope from the detonation cylinder test

Determination of the state parameters of explosive detonation products by computational inverse method

Cylinder Test Correction for Copper Work Hardening and Spall

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