The decay limit of the Hugoniot elastic limit

• Published in: International journal of impact engineering Vol. 21; no. 4; pp. 267 - 281
• Main Author: Billingsley, James P
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01.04.1998; Elsevier Science
• Subjects: 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; Nickel alloys; Ruptures; Stress wave; Lithium fluorides; Experimental study; Shock waves; Wave front; Aluminium alloys; Elastoplasticity; De Broglie wavelength; PMMA; Yield strength; Mechanical shock
• ISSN: 0734-743X; 1879-3509
• DOI: 10.1016/S0734-743X(97)00064-X

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.