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Mapping dislocation densities resulting from severe plastic deformation using large strain machining

Published online by Cambridge University Press:  08 August 2018

Sepideh Abolghasem ,
Saurabh Basu ,
Shashank Shekhar  and
M. Ravi Shankar
Sepideh Abolghasem*
Affiliation:
Department of Industrial Engineering, Universidad de los Andes, Bogotá 111711, Colombia
Saurabh Basu
Affiliation:
Department of Industrial and Manufacturing Engineering, Pennsylvania State University, University Park, Pennsylvania 16802, USA
Shashank Shekhar
Affiliation:
Materials Science and Engineering, Indian Institute of Technology Kanpur, Kanpur, Uttar Pradesh 208016, India
M. Ravi Shankar
Affiliation:
Department of Industrial Engineering, University of Pittsburgh, Pittsburgh, Pennsylvania 15261, USA
*
a)Address all correspondence to this author. e-mail: [email protected]
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Abstract

The multiplication of dislocations determines the trajectories of microstructure evolution during plastic deformation. It has been recognized that the dislocation storage and the deformation-driven subgrain formation are correlated—the principle of similitude, where the dislocation density (ρi) scales self-similarly with the subgrain size (δ): $\delta \sqrt {{\rho _{\rm{i}}}}$ ∼ constant. Here, the robustness of this concept in Cu is probed utilizing large strain machining across a swathe of severe shear deformation conditions—strains in the range 1–10 and strain-rates 10–103/s. Deformation strain, strain-rate, and temperature characterizations are juxtaposed with electron microscopy, and dislocation densities are measured by quantification of broadening of X-ray diffraction peaks of crystallographic planes. We parameterize the variation of dislocation density as a function of strain and a rate parameter R, a function of strain-rate, temperature, and material constants. We confirm the preservation of similitude between dislocation density and the subgrain structure across orders-of-magnitude of thermomechanical conditions.

Keywords

dislocationsmicrostructureX-ray diffraction
Type
Article
Information
Journal of Materials Research , Volume 33 , Issue 22 , 28 November 2018 , pp. 3762 - 3773
Copyright
Copyright © Materials Research Society 2018 

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