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Title: Study of the interplay between lower-order and higher-order energetic strain-gradient effects in polycrystal plasticity

Abstract

in this report strain-gradient (SG) plasticity refers to a class of non-local theories in which gradients of plastic slip determine the storage of geometrically necessary dislocations, introducing a length-scale dependence in the mechanical behavior of crystalline materials, which is otherwise lacking in local theories. In this work, we incorporate lower-order (LO) and higher-order energetic (HOE) strain-gradient effects into a crystal plasticity fast Fourier transform (FFT)-based formulation to investigate the interplay of the length scale that each strain-gradient term introduces at the microscale, and the mechanical properties that result at the macroscale. For an applicable range of length scales, we consider two systems: a 1-D two-phase face centered cubic (FCC) laminate and a 3-D FCC polycrystal, and two uniaxial deformation modes: monotonic tension and cyclic tension–compression. We show that increases in the individual LO and HOE length scales increase the hardening rate and strength of the material, respectively. When combined, the strong LO hardening is less pronounced than the effect alone due to the lowering of the gradients due to the HOE microstress. We demonstrate that the LO and HOE hardening manifest as “isotropic” (yield surface expansion) and “kinematic” (yield surface shift) effects, respectively, consistent with their theoretical origins. We showmore » that in cyclic loading, the Bauschinger effect emerges in both local and non-local calculations and link its origins and severity to the behavior in the strain field, slip-system rates, and the HOE microforce.« less

Authors:
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [1]
+ Show Author Affiliations
  1. Univ. of California, Santa Barbara, CA (United States)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Texas A & M Univ., College Station, TX (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1865036
Alternate Identifier(s):
OSTI ID: 1866150; OSTI ID: 1881476
Report Number(s):
LA-UR-21-32270
Journal ID: ISSN 0022-5096
Grant/Contract Number:  
89233218CNA000001; NA0003857
Resource Type:
Accepted Manuscript
Journal Name:
Journal of the Mechanics and Physics of Solids
Additional Journal Information:
Journal Volume: 164; Journal ID: ISSN 0022-5096
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; dislocations; strain-gradient plasticity; crystal plasticity; elastic-viscoplastic material; numerical algorithms

Citation Formats

Christodoulou, Paul G., Lebensohn, Ricardo A., and Beyerlein, Irene J. Study of the interplay between lower-order and higher-order energetic strain-gradient effects in polycrystal plasticity. United States: N. p., 2022. Web. doi:10.1016/j.jmps.2022.104906.
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Christodoulou, Paul G., Lebensohn, Ricardo A., & Beyerlein, Irene J. Study of the interplay between lower-order and higher-order energetic strain-gradient effects in polycrystal plasticity. United States. https://doi.org/10.1016/j.jmps.2022.104906
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Christodoulou, Paul G., Lebensohn, Ricardo A., and Beyerlein, Irene J. Mon . "Study of the interplay between lower-order and higher-order energetic strain-gradient effects in polycrystal plasticity". United States. https://doi.org/10.1016/j.jmps.2022.104906. https://www.osti.gov/servlets/purl/1865036.
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@article{osti_1865036,
title = {Study of the interplay between lower-order and higher-order energetic strain-gradient effects in polycrystal plasticity},
author = {Christodoulou, Paul G. and Lebensohn, Ricardo A. and Beyerlein, Irene J.},
abstractNote = {in this report strain-gradient (SG) plasticity refers to a class of non-local theories in which gradients of plastic slip determine the storage of geometrically necessary dislocations, introducing a length-scale dependence in the mechanical behavior of crystalline materials, which is otherwise lacking in local theories. In this work, we incorporate lower-order (LO) and higher-order energetic (HOE) strain-gradient effects into a crystal plasticity fast Fourier transform (FFT)-based formulation to investigate the interplay of the length scale that each strain-gradient term introduces at the microscale, and the mechanical properties that result at the macroscale. For an applicable range of length scales, we consider two systems: a 1-D two-phase face centered cubic (FCC) laminate and a 3-D FCC polycrystal, and two uniaxial deformation modes: monotonic tension and cyclic tension–compression. We show that increases in the individual LO and HOE length scales increase the hardening rate and strength of the material, respectively. When combined, the strong LO hardening is less pronounced than the effect alone due to the lowering of the gradients due to the HOE microstress. We demonstrate that the LO and HOE hardening manifest as “isotropic” (yield surface expansion) and “kinematic” (yield surface shift) effects, respectively, consistent with their theoretical origins. We show that in cyclic loading, the Bauschinger effect emerges in both local and non-local calculations and link its origins and severity to the behavior in the strain field, slip-system rates, and the HOE microforce.},
doi = {10.1016/j.jmps.2022.104906},
journal = {Journal of the Mechanics and Physics of Solids},
number = ,
volume = 164,
place = {United States},
year = {Mon Apr 18 00:00:00 EDT 2022},
month = {Mon Apr 18 00:00:00 EDT 2022}
}
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