Advertisement

Numerical simulation of plastic-flow localization for simple shear

  • V. M. El’kin
  • V. N. Mikhailov
  • T. Yu. Mikhailova
Article

Abstract

An algorithm was developed to numerically simulate plastic-flow localization for simple shear of a thermally plastic and viscoplastic material. The algorithm is based on solving the partial differential equations describing continuum flow. The closing equation is the constitutive relation known in the literature as the power law linking the plastic-strain rate to the flow stress, temperature, and accumulated plastic strain. Calculated relations for the time evolution of the shear-band width and the temperature and plastic strains localized in it agree satisfactorily with experimental relations. Good agreement with experimental results is also obtained for the sample temperature distribution at the developed stage of the localization process.

Key words

plastic-flow localization simple shear numerical simulation 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

REFERENCES

  1. 1.
    Zener, C., Hollomon, J. H. 1944Effect of strain rate on plastic flow of steelJ. Appl. Phys152232Google Scholar
  2. 2.
    T. G. Shawki and R. J. Clifton, “Shear band formation in thermal viscoplastic materials,” Mech. Mater., No. 8, 13–43 (1987).Google Scholar
  3. 3.
    El’kin, V. M. 1992Localization of plastic ow in simple shearJ. Appl. Mech. Tech. Phys.5146151Google Scholar
  4. 4.
    Hartley, K. A., Duffy, J., Hewley, R. H. 1987Measurement of the temperature profile during shear band formation in steel deformation at high strain ratesJ. Mech. Phys. Solids35283301Google Scholar
  5. 5.
    Marchand, A., Duffy, J. 1987An experimental study of the formation process of adiabatic shear bands in a structural steelJ. Mech. Phys. Solids36251283Google Scholar
  6. 6.
    Clifton, R. J., Duffy, J., Hartley, K. A.,  et al. 1984On critical condition for shear band formation at high strain ratesScripta Metallurg.18443448Google Scholar
  7. 7.
    Zav’yalov, Yu. S., Kvasov, B. I., Miroshnichenko, V. L. 1980Methods of Spline FunctionsNaukaMoscow[in Russian]Google Scholar

Copyright information

© MAIK “Nauka/Interperiodica” 2005

Authors and Affiliations

  • V. M. El’kin
    • 1
  • V. N. Mikhailov
    • 1
  • T. Yu. Mikhailova
    • 1
  1. 1.Zababakhin Institute of Technical PhysicsSnezhinsk

Personalised recommendations