Study of the interplay between lower-order and higher-order energetic strain-gradient effects in polycrystal plasticity
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 the...
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| Vydáno v: | Journal of the mechanics and physics of solids Ročník 164; s. 104906 |
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| Hlavní autoři: | , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
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Elsevier Ltd
01.07.2022
Elsevier BV Elsevier |
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| ISSN: | 0022-5096, 1873-4782 |
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| Abstract | 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.
•The interplay between strain-gradient length-scale parameters is studied.•Increasing the higher-order energetic parameter increases polycrystal yield strength.•Increasing the lower-order (LO) length scale increases the strain-hardening rate.•The higher-order effect reduces gradients, limiting the influence of the LO effect.•The higher-order energetic effect enhances the local Bauschinger effect. |
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| AbstractList | 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. 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. •The interplay between strain-gradient length-scale parameters is studied.•Increasing the higher-order energetic parameter increases polycrystal yield strength.•Increasing the lower-order (LO) length scale increases the strain-hardening rate.•The higher-order effect reduces gradients, limiting the influence of the LO effect.•The higher-order energetic effect enhances the local Bauschinger effect. 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. |
| ArticleNumber | 104906 |
| Author | Christodoulou, Paul G. Beyerlein, Irene J. Lebensohn, Ricardo A. |
| Author_xml | – sequence: 1 givenname: Paul G. orcidid: 0000-0002-5259-5785 surname: Christodoulou fullname: Christodoulou, Paul G. email: pchristodoulou@ucsb.edu organization: Materials Department, University of California, Santa Barbara, Santa Barbara, 93117, CA, USA – sequence: 2 givenname: Ricardo A. orcidid: 0000-0002-3152-9105 surname: Lebensohn fullname: Lebensohn, Ricardo A. email: lebenso@lanl.gov organization: Theoretical Division, Los Alamos National Laboratory, 87845, Los Alamos, NM, USA – sequence: 3 givenname: Irene J. orcidid: 0000-0002-5489-5132 surname: Beyerlein fullname: Beyerlein, Irene J. email: beyerlein@ucsb.edu organization: Materials Department, University of California, Santa Barbara, Santa Barbara, 93117, CA, USA |
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| Keywords | Strain-gradient plasticity A. Dislocations B. Crystal plasticity C. Numerical algorithms B. Elastic-viscoplastic material |
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| Snippet | Strain-gradient (SG) plasticity refers to a class of non-local theories in which gradients of plastic slip determine the storage of geometrically necessary... 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... |
| SourceID | osti proquest crossref elsevier |
| SourceType | Open Access Repository Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 104906 |
| SubjectTerms | A. Dislocations B. Crystal plasticity B. Elastic-viscoplastic material Bauschinger effect C. Numerical algorithms crystal plasticity Cyclic loads dislocations elastic-viscoplastic material Face centered cubic lattice Fast Fourier transformations Fourier transforms Hardening rate MATERIALS SCIENCE Mechanical properties numerical algorithms Origins Plastic properties Polycrystals Slip Strain Strain-gradient plasticity |
| Title | Study of the interplay between lower-order and higher-order energetic strain-gradient effects in polycrystal plasticity |
| URI | https://dx.doi.org/10.1016/j.jmps.2022.104906 https://www.proquest.com/docview/2691513439 https://www.osti.gov/servlets/purl/1865036 |
| Volume | 164 |
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