Abstract
It was discovered through free flight impact tests using specimens traveling at a constant velocity prior to impact that one form of the deformation curve for high purity aluminum and copper single crystals could be represented as a 1/4 power law. This particular deformation law as found to be predictable using the stress and strain ratios of the aggregate theory of Taylor. These predictions were made on the basis of the deformation of polycrystalline metals.
A generalization of the i power law constitutive relation is shown to account for uniaxial deformation that occurs for both single crystal and polycrystalline specimens subjected to static or dynamic deformations. This formulation is related to the parabolic type of constitutive development proposed bv Bell.
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
Preview
Unable to display preview. Download preview PDF.
References
J. F. Bell, J. Mech. Phys. Solids 14, 309 (1966).
C. Truesdell and W. Noll, Handbuch der Phvsik III/3, P124 (1964).
T. von Karman, N.D.R.C. Report A29 O.S.R.O., 365 (1942).
G. I. Taylor, British Official Report R.C., 329 (1942).
K. Rakhmatulin, Prikl. Mat. Mekh. 9, 19 (1945).
W. J. Gillich, Phil. Mag. 15, 659 (1967).
J. F. Bell, Proc. of the 3rd U.S. Natn. Congr. Appl. Mech., p. 489 (1958).
G. I. Taylor, J. Inst. Metals 62, 30 (1938).
J. F. W. Bishop and R. Hill, Phil. Mag. 42, 414 (1951).
J. F. Bell, Phil. Mag. 10, 107 (1964).
J. F. Bell, Phil. Mag. 11, 1135 (1965).
J. F. Bell (in preparation), Physics of Large Deformation of Crystalline Solids (Springer-Berlin).
R. P. Carreker and W. R. Hibbard, Acta Metallurgica 1, 654 (1953).
R. P. Carreker and R. W. Guard, J. Metals 8, 179 (1956).
W. Sharpe, Ph.D. Thesis, The Johns Hopkins Univ., Baltimore, Md. (1956).
U. S. Lindholm and L. M. Yeakley, J. Mech. Phys. Solids 13, 41 (1964).
R. L. Fleischer, J. Mech. Phys. Solids 6, 301 (1958).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1968 Springer-Verlag New York Inc.
About this chapter
Cite this chapter
Gillich, W.J. (1968). Constitutive Relationships from Impact Studies. In: Lindholm, U.S. (eds) Mechanical Behavior of Materials under Dynamic Loads. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-87445-1_11
Download citation
DOI: https://doi.org/10.1007/978-3-642-87445-1_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-87447-5
Online ISBN: 978-3-642-87445-1
eBook Packages: Springer Book Archive