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research-article

An Assessment of the Evolving Micro-Structural Model of Inelasticity Coupled with Dislocation and Disclination Based Incompatibilities

[+] Author and Article Information
Adetokunbo Adedoyin

118 West Lupita Santa Fe, NM 87505 toksh@hotmail.com

Koffi Enakoutsa

California State University, Department of Mathematics Northridge, CA 91330 koffi.enakoutsa@csun.edu

D.J. Bammann

Mail Stop 9552, 210 Carpenter Building Mississippi State University, MS 39762 douglas.bammann@gmail.com

1Corresponding author.

Contributed by the Materials Division of ASME for publication in the Journal of Engineering Materials and Technology. Manuscript received April 2, 2018; final manuscript received April 16, 2019; published online xx xx, xxxx. Assoc. Editor: Vadim V. Silberschmidt.

ASME doi:10.1115/1.4043627 History: Received April 02, 2018; Accepted April 22, 2019

Abstract

The Evolving Micro-structural Model of Inelasticity (EMMI) previously developed as an improvement over the Bammann-Chiesa-Johnson (BCJ) material model, is well known to describe the macroscopic non-linear behavior of polycrystalline metals subjected to rapid external loads such as those encountered during high rate events possibly near shock regime. The improved model accounts for deformation mechanisms such as thermally activated dislocation motion, generation, annihilation and drag. It also accounts for the effects of material texture, recrystallization and grain growth and void nucleation, growth and coalescence. Material incompatibility, previously disregard in the aforementioned model, manifest themselves as structural misorientation where ductile failure often initiates are currently being considered. To proceed, the representation of material incompatibility is introduced into the EMMI model by incorporating the distribution of the geometrically necessary defects such as dislocations and disclination. To assess the newly proposed formulation, classical elastic solutions of benchmarks problems including far field stress applied to the boundary of body containing a defect, e.g., voids, cracks, and dislocations are used to compute the plastic velocity gradient for various states of the material in terms of assumed values of the internal state variables. The full-field state of the inelastic flow is then computed and the spatial dependence of the dislocations and disclination density is determined. The predicted results shows good agreement with finding of dislocation theory.

Copyright © 2019 by ASME
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