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Meso-Scale Modeling of Polycrystal Deformation

Lim, Hojun
http://rave.ohiolink.edu/etdc/view?acc_num=osu1275400049

Abstract Details

2010, Doctor of Philosophy, Ohio State University, Materials Science and Engineering.
Modeling of the strengthening effect of grain boundaries in metallic polycrystals in a physically consistent way without arbitrary length scales is a long-standing, unsolved problem. A two-scale method to predict quantitatively the Hall-Petch effect has been developed, implemented, and tested. Based on a finite element formulation, a grain-scale simulation (GSS) makes use of novel single-crystal constitutive equations to determine local stresses, strains, and slip magnitudes while enforcing compatibility and equilibrium throughout a polycrystal in a finite element sense. A novel meso-scale simulation (MSS) redistributes the mobile part of the dislocation density within grains, and enforces slip transmission criteria at grain boundaries. Stepwise simulation at the two scales proceeds sequentially in order to predict the spatial distribution of dislocation density and the flow stress for each slip system within each grain. The two-scale model accurately predicted the strain hardening of multi-crystal iron specimens having 9-39 grains and lattice curvature for a Fe-3% Si specimen after 8% strain. The two-scale model predicted the Hall-Petch effect and its magnitude without involving related arbitrary parameters.
Robert Wagoner, PhD (Advisor)
Suliman Dregia, PhD (Committee Chair)
Peter Anderson, PhD (Committee Member)
Allen Miller, PhD (Committee Member)
156 p.
Materials Science
Meso-scale modeling; Hall-Petch Law; dislocation density

Recommended Citations

Citations

  • Lim, H. (2010). Meso-Scale Modeling of Polycrystal Deformation [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1275400049

    APA Style (7th edition)

  • Lim, Hojun. Meso-Scale Modeling of Polycrystal Deformation. 2010. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1275400049.

    MLA Style (8th edition)

  • Lim, Hojun. "Meso-Scale Modeling of Polycrystal Deformation." Doctoral dissertation, Ohio State University, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=osu1275400049

    Chicago Manual of Style (17th edition)

osu1275400049
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© 2010, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.