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A Dislocation Pile-Up Computation for Adiabatic Shear Banding

Published online by Cambridge University Press:  15 May 2014

Stephen D. Antolovich  and
Ronald W. Armstrong
Stephen D. Antolovich
Affiliation:
Schools of Materials Science and Mechanical Engineering, Georgia Tech, Atlanta, GA,30332-0245 USA & School of Mechanical and Materials Engineering, Washington State University, Pullman, WA 99164-2920 USA
Ronald W. Armstrong
Affiliation:
Center for Energetic Concepts Development, University of Maryland, College Park, MD 20742 USA.
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Abstract

A model is presented for computing the temperature increase associated with the formation of an adiabatic shear band. The hypothesis is that the heating is supplied by the difference in energy of a pile-up of n dislocations and the energy of n individual dislocations. The heating is assumed to occur within a volume determined by the grain size (i.e. slip band length) and an effective thermal length determined by the dislocation velocity. The model predicts increases in temperature with increasing shear modulus (G), increasing numbers of piled up dislocations (n), increasing Burgers vector (b), increased grain size (d), and increased dislocation velocity (vd). Increasing temperature is also predicted with decreasing heat capacity (c*) and thermal diffusivity (α) as would be expected. The model was applied to low carbon steel for which considerable data are available. Application to low carbon steel gives a temperature increase of about 1400K. The implied result that untempered martensite should be observed after adiabatic shear banding is in agreement with examples cited in the literature. Further investigation into the dynamics of pile-up release and the associated heat transfer mechanisms is discussed.

Keywords

fracturedislocationsmetal
Type
Articles
Information
MRS Online Proceedings Library (OPL) , Volume 1650: Symposium JJ – Materials Fundamentals of Fatigue and Fracture , 2014 , mrsf13-1650-jj06-03
Copyright
Copyright © Materials Research Society 2014 

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