Abstract
An adiabatic shear and produced by simple shearing in a rectangular body with a notch is analyzed numerically by the finite element method, using a stress-strain curve for the adiabatic condition, which shows an instability region due to the strain softening. Formation and propagation of the shear band are investigated for different geometrical conditions and compared with the plastic deformation of a material which has no instability region. When the plastic strain near the notch tip reaches the instability strain, the shear band starts to propagate faster than the expansion of plastic deformation area in the stable hardening material and the velocity of the shear band increases acceleratedly. A width of the shear band is estimated to be about 7µm.
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
C. Zener and J.H. Hollomon, Effect of strain rate upon plastic flow of steel, J. Appl. Phys. 15, 22 (1944).
R.F. Recht, Catastrophic thermoplastic shear, trans. ASME 86, 189 (1964).
R.S. Culver, Thermal instability strain in dynamic plastic deformation, Metallurgical Effects at High Strain Rates, edited by R..W. Rohde, B.M. Butcher, J.R. Holland, and C.H. Karnes (Plenum Press, New York, 1973), p.519.
A.S. Argon, Stability of plastic diformation, The Inhomogeneity of Plastic Deformation (ASM, Metals Park, OH 1973), p.161.
M.R. Staker, The relation between adiabatic shear instability strain and material properties, Acta Metall. 29, 683 (1981).
R.J. Clifton, J. Duffy, K.A. Hartley, and T.G. Shawki, On critical conditions for shear band formation at high strain rates, Scripta Metallurgica 18, 443 (1984).
Y.L. Bai, Thermo-plastic instability in simple shear, J. Mech. Phys. Solids 30, 195 (1982).
L.S. Costin, E.E. Crisman, R.H. Hawley, and J. Duffy, On the localisation of plastic flow in mild steel tubes under dynamic torsional loading, Second conf. on the Behaviour of Materials at High Rates of Strain (Oxford, England, 1979), p.90.
T.J. Burns and T.G. Trucano, Instability in simple shear diformations of strain-softening materials, Mechanics of Materials 1, 313 (1982).
G.B. Olson, J.F. Mescall, and M. Azrin, Adiabatic deformation and strain localization, Shock Waves and High-Strain-Rate Phenomena in Metals, edited by M.A. Meyers and L.E. Murr (Plenum Press, New York, 1981), p.221.
U.S. Lindholm, A. Nagy, G.R. Johnson, and J.M. Hoegfeldt, Large strain, high strain rate testing of copper, Journal of Engineering Materials and Technology 102, 376 (1980).
H.C. Rogers, Adiabatic plastic deformation, Ann. Rev. Mater. Sei., 283 (1979.9).
H.A. Grebe, H.-r. Pak, and M.A. Meyers, Met. Trans. 16A, 761 (1985).
M.E. Backman and S.A. Finnegan, The propagation of adiabatic shear, see ref. 10, p.531.
S. Kuriyama, H. Hayashi, and S. Yoshida, Numerical Analysis of flange behavior in deep drawing by the finite element method, Proc. of 4th Internat. Conf. on Production Engineering (Tokyo, 1980), p.38.
J.L. Swedlow, A procedure for solving problems of elasto-plastic flow, Computers and Structures 3, 879 (1973).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1987 Springer-Verlag, Berlin, Heidelberg
About this chapter
Cite this chapter
Kuriyama, S., Meyers, M.A. (1987). Numerical Analysis of Adiabatic Shear Band in an Early Stage of Its Propagation. In: Kawata, K., Shioiri, J. (eds) Macro- and Micro-Mechanics of High Velocity Deformation and Fracture. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82767-9_16
Download citation
DOI: https://doi.org/10.1007/978-3-642-82767-9_16
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-82769-3
Online ISBN: 978-3-642-82767-9
eBook Packages: Springer Book Archive