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Title: A predictive strain-gradient model with no undetermined constants or length scales

Abstract

A general meso–scale (GM) crystal plasticity (CP) model was developed that accounts for lower-order (strain hardening) and higher-order (internal stress) effects of geometrically necessary dislocations (GNDs). It is predictive: no arbitrary parameters or length scales were invoked and no ad hoc numerical techniques were employed. It uses general stress field equations for GND content and a novel harmonization technique to enforce consistency of elastic long-range singular defect fields with applied elastic-plastic fields. The model facilitates implementation in commercial finite element programs without requiring special elements, special boundary conditions, or access to element shape functions. GM simulations confirmed, with improved accuracy, previously published predictions of the Hall-Petch effect, Bauschinger effect, and anelasticity. Previously unpredicted phenomena were also predicted: anelasticity and hysteresis for single Ta crystals and strain-hardening stagnation. The internal stresses (higher-order effect) dominate at large length scales, while at small length scales, the GND density hardening (lower-order effect) dominates. As a result, GM predicts that strain heterogeneity and consequent GND internal stresses are important factors in anelasticity.

Authors:
 [1];  [2];  [3];  [3];  [2];  [4];  [5];  [6]; ORCiD logo [1]
  1. The Ohio State Univ., Columbus, OH (United States)
  2. Seoul National Univ. (Korea)
  3. Brigham Young Univ., Provo, UT (United States)
  4. Pusan National Univ., Busan (Korea)
  5. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
  6. Washington State Univ., Pullman, WA (United States)
Publication Date:
Research Org.:
The Ohio State Univ., Columbus, OH (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1698022
Alternate Identifier(s):
OSTI ID: 1776117
Grant/Contract Number:  
SC0012483; SC0012587; NA0003525
Resource Type:
Accepted Manuscript
Journal Name:
Journal of the Mechanics and Physics of Solids
Additional Journal Information:
Journal Volume: 145; Journal ID: ISSN 0022-5096
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; Crystal Plasticity; Strain Gradient; GND; Stagnation; Anelasticity; Finite Element; Harmonization; Bauschinger effect; Ta

Citation Formats

Zhou, G., Jeong, W., Homer, E. R., Fullwood, D. T., Lee, M. G., Kim, J. H., Lim, H., Zbib, H., and Wagoner, R. H.. A predictive strain-gradient model with no undetermined constants or length scales. United States: N. p., 2020. Web. https://doi.org/10.1016/j.jmps.2020.104178.
Zhou, G., Jeong, W., Homer, E. R., Fullwood, D. T., Lee, M. G., Kim, J. H., Lim, H., Zbib, H., & Wagoner, R. H.. A predictive strain-gradient model with no undetermined constants or length scales. United States. https://doi.org/10.1016/j.jmps.2020.104178
Zhou, G., Jeong, W., Homer, E. R., Fullwood, D. T., Lee, M. G., Kim, J. H., Lim, H., Zbib, H., and Wagoner, R. H.. Wed . "A predictive strain-gradient model with no undetermined constants or length scales". United States. https://doi.org/10.1016/j.jmps.2020.104178. https://www.osti.gov/servlets/purl/1698022.
@article{osti_1698022,
title = {A predictive strain-gradient model with no undetermined constants or length scales},
author = {Zhou, G. and Jeong, W. and Homer, E. R. and Fullwood, D. T. and Lee, M. G. and Kim, J. H. and Lim, H. and Zbib, H. and Wagoner, R. H.},
abstractNote = {A general meso–scale (GM) crystal plasticity (CP) model was developed that accounts for lower-order (strain hardening) and higher-order (internal stress) effects of geometrically necessary dislocations (GNDs). It is predictive: no arbitrary parameters or length scales were invoked and no ad hoc numerical techniques were employed. It uses general stress field equations for GND content and a novel harmonization technique to enforce consistency of elastic long-range singular defect fields with applied elastic-plastic fields. The model facilitates implementation in commercial finite element programs without requiring special elements, special boundary conditions, or access to element shape functions. GM simulations confirmed, with improved accuracy, previously published predictions of the Hall-Petch effect, Bauschinger effect, and anelasticity. Previously unpredicted phenomena were also predicted: anelasticity and hysteresis for single Ta crystals and strain-hardening stagnation. The internal stresses (higher-order effect) dominate at large length scales, while at small length scales, the GND density hardening (lower-order effect) dominates. As a result, GM predicts that strain heterogeneity and consequent GND internal stresses are important factors in anelasticity.},
doi = {10.1016/j.jmps.2020.104178},
journal = {Journal of the Mechanics and Physics of Solids},
number = ,
volume = 145,
place = {United States},
year = {2020},
month = {10}
}

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