The decay limit of the Hugoniot elastic limit
The Hugoniot elastic limit (HEL) precursor decay in shock loaded solids has been the subject of considerable experimental and theoretical investigation. Comparative evidence is presented to show that the elastic precursor wave particle velocity, Up HEL for certain materials decays asymptotically wit...
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| Published in | International journal of impact engineering Vol. 21; no. 4; pp. 267 - 281 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Oxford
Elsevier Ltd
01.04.1998
Elsevier Science |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0734-743X 1879-3509 |
| DOI | 10.1016/S0734-743X(97)00064-X |
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| Abstract | The Hugoniot elastic limit (HEL) precursor decay in shock loaded solids has been the subject of considerable experimental and theoretical investigation. Comparative evidence is presented to show that the elastic precursor wave particle velocity,
Up
HEL for certain materials decays asymptotically with propagation distance to the DeBroglie velocity,
V
1, level. This is demonstrated for the following materials: iron, aluminum alloy 6061-T6, plexiglas (PMMA), nickel alloy (MAR-M200), and lithium fluoride (LiF).
The DeBroglie velocity is
V
1=
h
2md
1
, where
h is Planck’s Constant,
m is the mass of one atom, and
d
1 is the closest distance between the atoms. For macroscopic particle velocities,
Up, equal to
V
1, the corresponding elastic pressure is
Pv
1=
ρ
0
C
L
V
1, where
ρ
0 is the material density and
C
L is the elastic wave front velocity. This relates the microscopic domain to macroscopic observable quantities. |
|---|---|
| AbstractList | The Hugoniot elastic limit (HEL) precursor decay in shock loaded solids has been the subject of considerable experimental and theoretical investigation. Comparative evidence is presented to show that the elastic precursor wave particle velocity,
Up
HEL for certain materials decays asymptotically with propagation distance to the DeBroglie velocity,
V
1, level. This is demonstrated for the following materials: iron, aluminum alloy 6061-T6, plexiglas (PMMA), nickel alloy (MAR-M200), and lithium fluoride (LiF).
The DeBroglie velocity is
V
1=
h
2md
1
, where
h is Planck’s Constant,
m is the mass of one atom, and
d
1 is the closest distance between the atoms. For macroscopic particle velocities,
Up, equal to
V
1, the corresponding elastic pressure is
Pv
1=
ρ
0
C
L
V
1, where
ρ
0 is the material density and
C
L is the elastic wave front velocity. This relates the microscopic domain to macroscopic observable quantities. The Hugoniot elastic limit (EHL) precursor decay in shock loaded solids has been the subject of considerable experimental and theoretical investigation. Comparative evidence is presented to show that the elastic precursor wave particle velocity, Up sub HEL for certain materials decays asymptotically with propagation distance to the DeBroglie velocity, V sub 1 , level. This is demonstrated for the following materials: iron, aluminum alloy 6061-T6, plexiglas (PMMA), nickel alloy (MAR-M200), and lithium fluoride (LiF) The DeBroglie velocity is V sub 1 =h/2md sub 1 , where h is Planck's Constant, m is the mass of one atom, and d sub 1 is the closest distance between the atoms. For macroscopic particle velocities, Up, equal to V sub 1 , the corresponding elastic pressure is Pv sub 1 = rho sub 0 C sub L V sub 1 , where rho sub 0 is the material density and C sub L is the elastic wave front velocity. This relates the microscopic domain to macroscopic observable quantities. |
| Author | Billingsley, James P |
| Author_xml | – sequence: 1 givenname: James P surname: Billingsley fullname: Billingsley, James P organization: U.S. Army Missile Command, AMSMI-RD-SS-AA, ATTN: J. P. Billingsley, Bldg. 5400, Room C-214B, Redstone Arsenal, AL 35898, USA |
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| CitedBy_id | crossref_primary_10_1016_j_matchemphys_2023_128840 crossref_primary_10_1007_s10409_021_09036_x crossref_primary_10_1134_S106378421203005X crossref_primary_10_1016_j_ijsolstr_2004_08_009 crossref_primary_10_1016_j_ijimpeng_2021_103983 crossref_primary_10_1016_S0020_7683_00_00286_9 crossref_primary_10_1016_j_optlastec_2012_06_019 crossref_primary_10_1134_S1027451008040253 crossref_primary_10_1016_j_msea_2019_02_001 crossref_primary_10_1016_j_scriptamat_2014_08_014 |
| Cites_doi | 10.1063/1.1722359 10.1063/1.1658439 10.1016/0020-7683(67)90062-5 10.1007/BF02477332 10.1063/1.327450 10.1016/0025-5416(72)90032-8 10.1063/1.1736060 10.1088/0022-3735/16/3/006 10.1016/0022-5096(70)90008-6 10.1016/0022-3697(69)90051-1 10.1063/1.322244 10.1016/0020-7683(73)90114-5 10.1063/1.330573 10.1121/1.1907894 10.1016/0031-9163(64)90564-5 10.1063/1.1729733 10.1007/978-1-4613-3219-0_34 10.1063/1.1657194 10.1063/1.1663148 10.1063/1.96906 10.1063/1.323221 10.1063/1.1702614 10.1063/1.1661464 10.1007/BF02477331 10.1063/1.321678 10.1063/1.323041 |
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| Issue | 4 |
| Keywords | Nickel alloys Ruptures Stress wave Lithium fluorides Experimental study Shock waves Wave front Aluminium alloys Elastoplasticity De Broglie wavelength PMMA Yield strength Mechanical shock |
| Language | English |
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| Snippet | The Hugoniot elastic limit (HEL) precursor decay in shock loaded solids has been the subject of considerable experimental and theoretical investigation.... The Hugoniot elastic limit (EHL) precursor decay in shock loaded solids has been the subject of considerable experimental and theoretical investigation.... |
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| SubjectTerms | Condensed matter: structure, mechanical and thermal properties Exact sciences and technology High-pressure and shock-wave effects in solids and liquids Mechanical and acoustical properties of condensed matter Mechanical and elastic waves, vibrations Physics |
| Title | The decay limit of the Hugoniot elastic limit |
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