2002
DOI: 10.1063/1.1483596
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Applying Micro-Mechanics to Finite Element Simulations of Split Hopkinson Pressure Bar Experiments on High Explosives

Abstract: Abstract.We have developed a constitutive theory based on the Method of Cells and a modified Mori-Tanaka (MT) effective medium theory to model high explosives. MT effective medium theory allows us to model the smaller explosive grains in the viscoelastic matrix while the Method of Cells partitions the representative volume element into a single subcell designating a large grain, and the remaining subcells for the small grain-binder mixture. The model is then implemented into the finite-element code EPIC. Split… Show more

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Cited by 4 publications
(4 citation statements)
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“…For PBX1314 the RDX crystals are treateda se lastic in this model. The shear and bulk moduli weret aken to be 5.4 GPa and 12.5 GPa respectively [38,39].G MM parameters for polymer binder are giveni nT able 1. According to the principle of correspondence, the relationship between the Young's modulus E,p oisson's ratio n,b ulk modulus k,a nd shear modulus m are obtainedb yt he elasticm echanics in the laplace transform domain (Equation ( 28)).…”
Section: Numerical Results and Comparisonswith Experimentsmentioning
confidence: 99%
“…For PBX1314 the RDX crystals are treateda se lastic in this model. The shear and bulk moduli weret aken to be 5.4 GPa and 12.5 GPa respectively [38,39].G MM parameters for polymer binder are giveni nT able 1. According to the principle of correspondence, the relationship between the Young's modulus E,p oisson's ratio n,b ulk modulus k,a nd shear modulus m are obtainedb yt he elasticm echanics in the laplace transform domain (Equation ( 28)).…”
Section: Numerical Results and Comparisonswith Experimentsmentioning
confidence: 99%
“…Lastly, an in-depth study of the microstructural behavior of such granular materials has to be made. From an experimental point of view, this means being able to observe the local failure mechanisms and the sliding mechanisms at the granular scale with particular attention to their dependence on the strain rate [38][39]. …”
Section: Resultsmentioning
confidence: 99%
“…Most energetic materials are used as part of a composite system, with energetic crystals embedded in either an inert or energetic binder, creating PBXs. As a consequence, whilst a body of work has been performed to probe their mechanical response at quasistatic and intermediate strain-rates (see references [8][9][10]) and under conditions of Taylor impact [11], equivalent studies under one-dimensional shock loading is much less prevalent. The inert response (in terms of particle velocity -u p and shock velocity -U S ) has been studied either as part of a wider study on the equation of state [12][13][14][15], or in terms of their purely inert response [16,17].…”
Section: Introductionmentioning
confidence: 99%