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Title: Material-point erosion simulation of dynamic fragmentation of metals

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USDOE National Nuclear Security Administration (NNSA)
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Journal Article: Publisher's Accepted Manuscript
Journal Name:
Mechanics of Materials
Additional Journal Information:
Journal Volume: 80; Journal Issue: PB; Related Information: CHORUS Timestamp: 2017-06-21 21:32:12; Journal ID: ISSN 0167-6636
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Citation Formats

Li, B., Pandolfi, A., and Ortiz, M.. Material-point erosion simulation of dynamic fragmentation of metals. Netherlands: N. p., 2015. Web. doi:10.1016/j.mechmat.2014.03.008.
Li, B., Pandolfi, A., & Ortiz, M.. Material-point erosion simulation of dynamic fragmentation of metals. Netherlands. doi:10.1016/j.mechmat.2014.03.008.
Li, B., Pandolfi, A., and Ortiz, M.. 2015. "Material-point erosion simulation of dynamic fragmentation of metals". Netherlands. doi:10.1016/j.mechmat.2014.03.008.
title = {Material-point erosion simulation of dynamic fragmentation of metals},
author = {Li, B. and Pandolfi, A. and Ortiz, M.},
abstractNote = {},
doi = {10.1016/j.mechmat.2014.03.008},
journal = {Mechanics of Materials},
number = PB,
volume = 80,
place = {Netherlands},
year = 2015,
month = 1

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1016/j.mechmat.2014.03.008

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Cited by: 6works
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  • Following on previous work -- experimentally determining the corrosion life of elements of structures in service in molten metals when failure of the structural element is predetermined by the simultaneous occurrence of more than one damaging process -the authors here present some of the possible programs used for structural elements cyclically interacting with molten metals. Examined here were the steels: 3Kh2V8F, 4Kh3VMF, DI-23, DI-22, 4 Kh5MFS, 5KH4SV4MF and DI-22ELP. Examined are the relationship of erosion to the life of the steels, and the influence of chemicothermal treatment on the erosion of the steels.
  • With the development of high energy laser facilities dedicated to inertial confinement fusion, the question of debris ejection from metallic shells subjected to intense laser irradiation has become a key issue. We have used two diagnostics to investigate fragmentation processes. Recovery of ejected fragments has been performed in a highly transparent gel of density 0.9 g/cm{sup 3}. Fragments sizes, shapes, and penetration depths, can be easily observed with a spatial resolution of micrometer-order. Complementary data are provided by transverse shadowgraphy which allows to obtain quasi-instantaneous, successive pictures of the debris clouds and mean ejection velocities.
  • Large scale molecular dynamics (MD) simulations are performed to study and to model the ejecta production from the dynamic fragmentation of shock-loaded metals under melt conditions. A generic 3D crystal in contact with vacuum containing about 10{sup 8} atoms and with a sinusoidal free surface roughness is shock loaded so as to undergo a solid-liquid phase change on shock. The reflection of the shock wave at the interface metal/vacuum gives rise to the ejection of 2D jets/sheets of atoms (Richtmyer-Meshkov instabilities in the continuum limit), which develop and break up, forming ejecta (fragments) of different volumes (or mass). The fragmentationmore » process is investigated by analyzing the evolution of the resulting volume distribution of the ejecta as a function of time. Two metals are studied (Cu and Sn) and the amplitude of the roughness is varied. The simulations show that the associated distributions exhibit a generic behavior with the sum of two distinct terms of varying weight, following the expansion rate of the jets: in the small size limit, the distribution obeys a power law dependence with an exponent equal to 1.15 ± 0.08; and in the large size limit, it obeys an exponential form. These two components are interpreted, with the help of additional simple simulations, as the signature of two different basic mechanisms of fragmentation. The power law dependence results from the fragmentation of a 2D network of ligaments arranged following a fractal (scale free) geometry and generated when the sheets of liquid metal expand and tear. The exponential distribution results from a 1D Poisson fragmentation process of the largest ligaments previously generated. Unlike the power law distribution, it is governed by a characteristic length scale, which may be provided by energy balance principle.« less
  • Fragmentation of a two-dimensional brittle material caused by a rapid impact has been analyzed. Computer simulations together with simple arguments are used to obtain a qualitative understanding of crack formation, which is then used to derive an exponential fragment size distribution valid in the large fragment size limit. In the limit of small fragments this distribution is solved numerically, and it is found to obey a scaling law with the exponent {minus}1.5. These results suggest that two different mechanisms are operative in the fragmentation process: branching of propagating cracks determines the small fragment size limit, and merging of the nucleatedmore » cracks determines the large size limit. The point of crossover between these two regimes is also found to obey a scaling law. {copyright} {ital 1997} {ital The American Physical Society}« less
  • Using multi-ion interatomic potentials derived from first-principles generalized pseudopotential theory, we have studied ideal shear strength, point defects, and screw dislocations in the prototype bcc transition metal molybdenum (Mo). Many-body angular forces, which are important to the structural and mechanical properties of such central transition metals with partially filled {ital d} bands, are accounted for in the present theory through explicit three- and four-ion potentials. For the ideal shear strength of Mo, our computed results agree well with those predicted by full electronic-structure calculations. For point defects in Mo, our calculated vacancy-formation and activation energies are in excellent agreement withmore » experimental results. The energetics of six self-interstitial configurations have also been investigated. The {l_angle}110{r_angle} split dumbbell interstitial is found to have the lowest formation energy, in agreement with the configuration found by x-ray diffuse scattering measurements. In ascending order, the sequence of energetically stable interstitials is predicted to be {l_angle}110{r_angle} split dumbbell, crowdion, {l_angle}111{r_angle} split dumbbell, tetrahedral site, {l_angle}001{r_angle} split dumbbell, and octahedral site. In addition, the migration paths for the {l_angle}110{r_angle} dumbbell self-interstitial have been studied. The migration energies are found to be 3{endash}15 times higher than previous theoretical estimates obtained using simple radial-force Finnis-Sinclair potentials. Finally, the atomic structure and energetics of {l_angle}111{r_angle} screw dislocations in Mo have been investigated. We have found that the so-called {open_quote}{open_quote}easy{close_quote}{close_quote} core configuration has a lower formation energy than the {open_quote}{open_quote}hard{close_quote}{close_quote} one, consistent with previous theoretical studies. (Abstract Truncated)« less