Abstract
Much of the shock field was developed on the study of materials such as metals that are in equilibrium under shock loading. The invention of improved diagnostics such as laser interferometers led to measurement of shock wave profiles that showed time dependence for some materials. In order to understand the treatment of time-dependent flow requires solving the differential conservation equations along with a materials constitutive equation. Numerical solutions of these equations may be required to describe a materials behavior under dynamic loading. These equations and there application are the subject of this and following chapters.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
J.C. Jaeger, Elasticity, Fracture and Flow: With Engineering and Geological Applications. Science Paperbacks, 1969
W. Band, G.E. Duvall, Physical nature of shock propagation. Am. J. Phys. 20, 780 (1961)
J.W. Swegle, D.E. Grady, Shock viscosity and the prediction of shock wave rise times. J. Appl. Phys 58, 692 (1985)
L.M. Barker, R.E. Hollenbach, Shock-wave studies of PMMA, fused silica, and sapphire. J. Appl. Phys. 41(10), 4208–4226 (1970)
T.P. Liddiard Jr., The compression of polymethyl methacrylate by low amplitude shock waves. in Proceedings of Fourth Symposium (International) on Detonation, White Oak, 12–15 Oct 1965
D.N. Schmidt, M.W. Evans, Nature 206, 1348 (1965)
Y.M. Gupta, Determination of the impact response of PMMA using combined compression and shear loading. J. Appl. Phys. 51(10), 5352 (1980)
K.W. Schuler, Propagation of steady shock waves in polymethyl methacrylate. J. Mech. Phys. Solid. 18, 277 (1970)
J.W. Nunziato, K.W. Schuler, E.K. Walsh, The bulk response of viscoelastic solids. Trans. Soc. Rheol. Wiley, 16(1) 15–32 (1972)
G.E. Duvall, Shock waves in condensed media. in Proceedings of the International School of Physics “Enrico Fermi” ed. by P. Caldiorola, H. Knoepfel, (Academic, 1971), pp. 7–50
G.E. Duvall, The shocked piezoelectric disk as a Maxwell solid. J. Appl. Phys. 48(10), 4415 (1977)
J.W. Forbes, Experimental investigation of the kinetics of the shock-induced phase transformation in Armco iron. Ph.D. thesis, WSU, 1976
J.W. Forbes, Experimental investigation of the kinetics of the shock-induced phase transformation in Armco iron. NSWC TR 77–137, 15, Dec 1977 (Unpublished)
L.M. Barker, R.E. Hollenbach, Shock wave study of the α↔ε phase transtion in iron. J. Appl. Phys. 45(11), 4872 (1974)
D.B. Hayes, Polymorphic phase transformation rates in shock-loaded potassium chloride. J. Appl. Phys. 45(3), 1208 (1974)
G.E. Duvall, Maxwell-like relations in condensed materials decay of shock waves. Iran. J. Sci. Technol. 7, 57 (1978)
J.R. Asay et al., Effects of point defects on elastic-precursor decay in LiF. J. Appl. Phys. 43, 2132 (1972)
Y.M. Gupta, Stress dependence of elastic wave attenuation in LiF. J. Appl. Phys. 46, 3395 (1975)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Forbes, J.W. (2012). Differential Conservation Equations and Time-Dependent Flow. In: Shock Wave Compression of Condensed Matter. Shock Wave and High Pressure Phenomena. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32535-9_7
Download citation
DOI: https://doi.org/10.1007/978-3-642-32535-9_7
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-32534-2
Online ISBN: 978-3-642-32535-9
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)