Abstract
Important concepts from continuum mechanics and shock physics are described. Plane shock waves are defined and categorized. Governing equations from geometrically nonlinear solid mechanics are presented. Continuum balance laws are discussed first, followed by derivation of the Rankine–Hugoniot jump conditions with emphasis on planar longitudinal shocks. Structured steady waves are analyzed. Supplemental relationships are derived in the context of the frequently used linear shock velocity versus particle velocity model. Material properties pertinent to the shock relations are tabulated for polycrystalline metals.
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References
Ahrens, T.: Shock wave techniques for geophysics and planetary physics. In: Sammis, C., Henyey, T. (eds.) Methods of Experimental Physics, vol. 24 A, pp. 185–235. Academic, New York (1987)
Antoun, T., Curran, D., Seaman, L., Kanel, G., Razorenov, S., Utkin, A.: Spall Fracture. Springer, New York (2002)
Casey, J.: On the derivation of jump conditions in continuum mechanics. Int. J. Struct. Chang. Solids 3, 61–84 (2011)
Clayton, J.: Nonlinear Mechanics of Crystals. Springer, Dordrecht (2011)
Clayton, J.: Methods for analysis and simulation of ballistic impact. Recent Pat. Eng. 11, 49–61 (2017)
Davison, L.: Fundamentals of Shock Wave Propagation in Solids. Springer, Berlin (2008)
Davison, L., Graham, R.: Shock compression of solids. Phys. Rep. 55, 255–379 (1979)
Eringen, A.: Nonlinear Theory of Continuous Media. McGraw-Hill, New York (1962)
Germain, P., Lee, E.: On shock waves in elastic-plastic solids. J. Mech. Phys. Solids 21, 359–382 (1973)
Graff, K.: Wave Motion in Elastic Solids. Oxford University Press, London (1975)
Graham, R.: Solids Under High-Pressure Shock Compression. Springer, New York (1993)
Guinan, M., Steinberg, D.: Pressure and temperature derivatives of the isotropic polycrystalline shear modulus for 65 elements. J. Phys. Chem. Solids 35, 1501–1512 (1974)
Jeanloz, R.: Shock wave equation of state and finite strain theory. J. Geophys. Res. 94, 5873–5886 (1989)
Malvern, L.: Introduction to the Mechanics of a Continuous Medium. Prentice-Hall, Englewood Cliffs NJ (1969)
Marsh, S. (ed.): LASL Shock Hugoniot Data. University of California Press, Berkeley (1980)
Marsden, J., Hughes, T.: Mathematical Foundations of Elasticity. Prentice-Hall, Englewood Cliffs NJ (1983)
McQueen, R., Marsh, S., Taylor, J., Fritz, J., Carter, W.: The equation of state of solids from shock wave studies. In: Kinslow, R. (ed.) High-Velocity Impact Phenomena, pp. 294–417. Academic Press, New York (1970)
Murnaghan, F.: Finite Deformation of an Elastic Solid. Wiley, New York (1951)
Ruoff, A.: Linear shock-velocity-particle-velocity relationship. J. Appl. Phys. 38, 4976–4980 (1967)
Steinberg, D.: Some observations regarding the pressure dependence of the bulk modulus. J. Phys. Chem. Solids 43, 1173–1175 (1982)
Thurston, R.: Waves in solids. In: Truesdell, C. (ed.) Handbuch der Physik, vol. VI, pp. 109–308. Springer, Berlin (1974)
Truesdell, C., Toupin, R.: The classical field theories. In: Flugge, S. (ed.) Handbuch der Physik, vol. III, pp. 226–793. Springer, Berlin (1960)
Wallace, D.: Thermodynamics of Crystals. Wiley, New York (1972)
Williams, C., Ramesh, K., Dandekar, D.: Spall response of 1100-O aluminum. J. Appl. Phys. 111, 123528 (2012)
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Clayton, J.D. (2019). Shock Physics Fundamentals. In: Nonlinear Elastic and Inelastic Models for Shock Compression of Crystalline Solids. Shock Wave and High Pressure Phenomena. Springer, Cham. https://doi.org/10.1007/978-3-030-15330-4_2
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DOI: https://doi.org/10.1007/978-3-030-15330-4_2
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