A continuum dislocation-based model of wedge microindentation of single crystals

Po, Giacomo; Huang, Yue; Ghoniem, Nasr

doi:10.1016/j.ijplas.2018.10.008

Title: A continuum dislocation-based model of wedge microindentation of single crystals

Journal Article · 25 October 2018 · International Journal of Plasticity

DOI: https://doi.org/10.1016/j.ijplas.2018.10.008 · OSTI ID:1612981

Po, Giacomo ^[1]; Huang, Yue ^[2];

^[2]

University of California, Los Angeles, CA (United States); DOE/OSTI
University of California, Los Angeles, CA (United States)

Recent Electron Backscatter Diffraction (EBSD) experiments have revealed the emergence of heterogeneous dislocation microstructures forming under a wedge indenter in fcc crystals, where micro-meter dislocation patterns challenge the predictions of traditional models of plasticity. In order to explain the formation of these features and develop a relationship between the force-displacement curve and the dislocation substructure, here we present a model of wedge indentation based on the continuum theory of dislocations. The model accounts for large deformation kinematics through the multiplicative split of the deformation gradient tensor, where the incompatible plastic component of deformation results from the flux of dislocations on different and interacting slips systems. Constitutive equations for dislocation fluxes are determined from a dissipative variational principle. As a result, each dislocation density satisfies an initial-boundary value problem with convective-diffusive character, which is coupled to the macroscopic stress and displacement fields governing the deformation process. Solution to the self-consistent continuum formulation is found using the finite element method. Computer simulations mimic the experimental conditions of wedge micro-indentation experiments into Ni single-crystals used by Kysar et al. (2010a). A comparison of overall dislocation density distribution and macroscopic mechanical response shows good overall agreement with the experimental results in terms of the detailed features of dislocation patterns and lattice rotations as well as the macroscopic force-displacement response.

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Research Organization:: University of California, Los Angeles, CA (United States)

Sponsoring Organization:: Air Force Office of Scientific Research (AFOSR); National Science Foundation (NSF); USDOE; USDOE Office of Science (SC), Fusion Energy Sciences (FES)

Grant/Contract Number:: SC0018410

OSTI ID:: 1612981

Journal Information:: International Journal of Plasticity, Journal Name: International Journal of Plasticity Journal Issue: C Vol. 114; ISSN 0749-6419

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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36 MATERIALS SCIENCE
42 ENGINEERING
dislocation density tensor
dislocation patterns
finite deformation
indentation

Title: A continuum dislocation-based model of wedge microindentation of single crystals

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