Thermal Diffusion and Associated Stress Field due to High Speed Source
Publication: Journal of Aerospace Engineering
Volume 15, Issue 3
Abstract
This paper presents a simple model of the thermal transport caused by a source moving at high speeds along an infinite half-space. The steady-state solution is obtained and examined to determine the effects of source velocity on the effective thermal penetration depth. The temperature field produced for a particular set of boundary conditions is then expanded to indicate how an abrupt temperature application can create a stress wave response incorporating the relationships included in a well-known hydrocode.
Get full access to this article
View all available purchase options and get full access to this article.
References
Anderson, C. E., Jr., (1987). “An overview of the theory of hydrocodes.” Int. J. Impact Eng., 5, 33–59.
Benson, D. J.(1992). “Computational methods in Lagrangian and Eulerian hydrocodes.” Comput. Methods Appl. Mech. Eng., 99, 235–394.
Carslaw, H. S., and Jaeger, J. C. (1959). Conduction of Heat in Solids, Oxford Univ. Press.
Hertel, E. S., Jr., et al. (1993). “CTH: A software family for multi-dimensional shock physics analysis.” Proc., 19th Int. Symposium on Shock Waves, 377–382.
Hertel, E. S., Jr., and Kerley, G. I. (1998). “CTH reference manual: The equation of state package.” Rep. No. SAND98-0947, Sandia National Laboratories, Albuquerque, N.M.
Holmquist, T. J., and Johnson, G. R. (1991). “Determination of constants and comparison of results for various constitutive models.” J. Phys. IV, Colloque C3, suppl. to J. Phys. III, Vol. 1, C3:853–C3:860.
Karpp, R. R. (1993). “Chapter 5: Warhead simulation techniques: Hydrocodes.” Tactical missile warheads, 155, Progress in Astronautics and Aeronautics, 223–313.
Korkegi, R. H., and Briggs, R. A.(1969). “The hypersonic slipper bearing—A test track problem.” J. Spacecr. Rockets, 6(2), 210–212.
McGlaun, M. (1990). “CTH reference manual: Lagrangian step for hydrodynamic materials.” Rep. No. SAND90-2645, Sandia National Laboratories, Albuquerque, N.M.
Meyers, M. M. (1994). Dynamic behavior of materials, Wiley, New York.
Olver, F. W. J. (1974). Asymptotes and special functions, Academic, San Diego, 112.
Silling, S. A. (1991). “CTH reference manual: Viscoplastic models,” Rep. No. SAND91-0292, Sandia National Laboratories, Albuquerque, N.M.
Taylor, P. A. (1992). “CTH reference manual: The Steinberg-Guinan-Lund viscoplastic model,” Rep. No. SAND92-0716, Sandia National Laboratories, Albuquerque, N.M.
Versteeg, H. K., and Malalasekera, W. (1995). An introduction to computational fluid dynamics: The finite volume method, Longman Scientific and Technical, Essex, U.K.
Wagoner, R. H., and Chenot, J.-L. (2001). Metal forming analysis, Cambridge Univ. Press, Cambridge, U.K.
Zauderer, E. (1983). Partial differential equations of applied mathematics, Wiley, New York.
Zukas, J. A. (1990). High velocity impact dynamics, Wiley, New York.
Information & Authors
Information
Published In
Copyright
Copyright © 2002 American Society of Civil Engineers.
History
Received: Feb 5, 2002
Accepted: Feb 12, 2002
Published online: Jun 14, 2002
Published in print: Jul 2002
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.