2009
DOI: 10.1016/j.ijimpeng.2009.03.007
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Numerical analysis of blast-induced wave propagation using FSI and ALEmulti-material formulations

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Cited by 72 publications
(56 citation statements)
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“…These computer-aided simulations were, in turn, based upon mathematical models developed by other researchers prior to these 2011 experimental results [13]. Such factors, therefore, support the conclusion that application of Burgers' and Transport equations are correct PDE models to apply, given prior theoretical application of the Euler-Laplacian.…”
Section: The Burgers' and Transport Equations As Appropriate Modelssupporting
confidence: 55%
See 1 more Smart Citation
“…These computer-aided simulations were, in turn, based upon mathematical models developed by other researchers prior to these 2011 experimental results [13]. Such factors, therefore, support the conclusion that application of Burgers' and Transport equations are correct PDE models to apply, given prior theoretical application of the Euler-Laplacian.…”
Section: The Burgers' and Transport Equations As Appropriate Modelssupporting
confidence: 55%
“…However, shock-waves that impact the human skull at angles other than at 90 • must also be considered, as must the whole asymmetric mechanics of neurological shock-waves in a more holistic sense. It is, therefore, important to at least state the analogous equation, as illustrated by Gerber [11], which reads: R = dp dη sin (µ + λ) dp dζ sin (µ − λ) (12) where: dp dζ = cos (µ) dp ds + sin (µ) dp dn (13) and: dp dη = cos (µ) dp ds + sin (µ) dp dn (14) where p represents pressure, and µ and λ are the angles of incidence in the directions of ζ and η, respectively, for some dummy-variables, s and n. One should, therefore, adopt Equation (12), and the directional derivatives-Equations (13) and (14)-for more complex situations in which multi-directional shock-waves need to be modeled.…”
Section: Preliminary Mathematical Exposition: the Effect Of The Direcmentioning
confidence: 99%
“…However, there are a limited number of studies in the literature with spherical Eulerian mesh topologies. Chafi et al [2] investigated the incident overpressure and the reflected overpressure on a circular armor plate for C-4 and TNT types of explosives by utilizing the ALE formulation of the LS-Dyna code. Their model reflects a spherical mesh topology.…”
Section: Literature Reviewmentioning
confidence: 99%
“…Most analytical studies related to blast vibrations can roughly be divided into experimental and numerical simulation analyses [10]- [12]. Blast experiments require substantial costs, exhibit location limitations, and possess a certain level of danger, limiting blast-related on-site experiments.…”
Section: Introductionmentioning
confidence: 99%