Numerical Analysis of Adiabatic Shear Band in an Early Stage of Its Propagation

  • S. Kuriyama
  • M. A. Meyers
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)


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.


Plastic Strain Shear Band Contour Line Strain Softening Instability Region 
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  1. 1.
    C. Zener and J.H. Hollomon, Effect of strain rate upon plastic flow of steel, J. Appl. Phys. 15, 22 (1944).CrossRefGoogle Scholar
  2. 2.
    R.F. Recht, Catastrophic thermoplastic shear, trans. ASME 86, 189 (1964).Google Scholar
  3. 3.
    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.Google Scholar
  4. 4.
    A.S. Argon, Stability of plastic diformation, The Inhomogeneity of Plastic Deformation (ASM, Metals Park, OH 1973), p.161.Google Scholar
  5. 5.
    M.R. Staker, The relation between adiabatic shear instability strain and material properties, Acta Metall. 29, 683 (1981).CrossRefGoogle Scholar
  6. 6.
    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).CrossRefGoogle Scholar
  7. 7.
    Y.L. Bai, Thermo-plastic instability in simple shear, J. Mech. Phys. Solids 30, 195 (1982).CrossRefMATHGoogle Scholar
  8. 8.
    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.Google Scholar
  9. 9.
    T.J. Burns and T.G. Trucano, Instability in simple shear diformations of strain-softening materials, Mechanics of Materials 1, 313 (1982).CrossRefGoogle Scholar
  10. 10.
    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.CrossRefGoogle Scholar
  11. 11.
    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).CrossRefGoogle Scholar
  12. 12.
    H.C. Rogers, Adiabatic plastic deformation, Ann. Rev. Mater. Sei., 283 (1979.9).Google Scholar
  13. 13.
    H.A. Grebe, H.-r. Pak, and M.A. Meyers, Met. Trans. 16A, 761 (1985).Google Scholar
  14. 14.
    M.E. Backman and S.A. Finnegan, The propagation of adiabatic shear, see ref. 10, p.531.Google Scholar
  15. 15.
    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.Google Scholar
  16. 16.
    J.L. Swedlow, A procedure for solving problems of elasto-plastic flow, Computers and Structures 3, 879 (1973).CrossRefGoogle Scholar

Copyright information

© Springer-Verlag, Berlin, Heidelberg 1987

Authors and Affiliations

  • S. Kuriyama
    • 1
  • M. A. Meyers
    • 2
  1. 1.Institute of Physical and Chemical ResearchWako, SaitamaJapan
  2. 2.New Mexico Institute of Mining and TechnologySocorroUSA

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