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Crystal Plasticity Modeling of Anisotropic Hardening and Texture Due to Dislocation Transmutation in Twinning.
Materials (Basel). 2018 Sep 28; 11(10)M

Abstract

In crystalline materials, dislocations are three-dimensional lattice distortions that systematically distort twin interfaces that they encounter. This results in dislocation dissociation events and changes in the atomic structure of the interface. The manner in which the interface distorts drive the product of the dissociation event, and consequently, the incident dislocation core and the magnitude and relative direction of the Burgers vector govern these slip-twin interaction phenomena. Recent characterization studies using transmission electron microscopy as well as advanced molecular dynamic simulations have shown that slip dislocations, whether striking or struck by a {10 1 ¯ 2} twin boundary, dissociate into a combination of twinning disconnections, interfacial disclinations (facets), jogs, and other types of dislocations engulfed inside the twin domains, called transmuted dislocations. While twinning disconnections were found to promote twin propagation, the dislocations incorporated inside the twin are of considerable importance to hardening and damage initiation as they more significantly obstruct slip dislocations accommodating plasticity of the twins. In this work, the dislocation transmutation event and its effect on hardening is captured using a dislocation density based hardening model contained in a visco-plastic self-consistent mean-field model. This is done by allowing the twins to increase their dislocation densities, not only by virtue of slip inside the twin, but also through dislocations that transmute from the parents as the twin volume fraction increases. A correspondence matrix rule is used to determine the type of converted dislocations while tracking and parameterizing their evolution. This hypothesis provides a modeling framework for capturing slip-twin interactions. The model is used to simulate the mechanical response of pure Mg and provides a more physically based approach for modeling stress-strain behavior.

Authors+Show Affiliations

Department of Mechanical Engineering, Mississippi State University, Mississippi State, MS 39762, USA. rma140@msstate.edu. Center for Advanced Vehicular Systems, Mississippi State University, Mississippi State, MS 39762, USA. rma140@msstate.edu. Laboratory of Excellence on Design of Alloy Metals for Low-Mass Structures (DAMAS), Université de Lorraine, 57045 Metz, France. rma140@msstate.edu.Laboratory of Excellence on Design of Alloy Metals for Low-Mass Structures (DAMAS), Université de Lorraine, 57045 Metz, France. laszlo.toth@univ-lorraine.fr. Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux (LEM3), CNRS UMR 7239, Université de Lorraine, 57045 Metz, France. laszlo.toth@univ-lorraine.fr.Department of Mechanical Engineering, Mississippi State University, Mississippi State, MS 39762, USA. aoppedal@cavs.msstate.edu. Center for Advanced Vehicular Systems, Mississippi State University, Mississippi State, MS 39762, USA. aoppedal@cavs.msstate.edu.Department of Mechanical Engineering, Mississippi State University, Mississippi State, MS 39762, USA. elkadiri@me.msstate.edu. Center for Advanced Vehicular Systems, Mississippi State University, Mississippi State, MS 39762, USA. elkadiri@me.msstate.edu.

Pub Type(s)

Journal Article

Language

eng

PubMed ID

30274190

Citation

Allen, Robert M., et al. "Crystal Plasticity Modeling of Anisotropic Hardening and Texture Due to Dislocation Transmutation in Twinning." Materials (Basel, Switzerland), vol. 11, no. 10, 2018.
Allen RM, Toth LS, Oppedal AL, et al. Crystal Plasticity Modeling of Anisotropic Hardening and Texture Due to Dislocation Transmutation in Twinning. Materials (Basel). 2018;11(10).
Allen, R. M., Toth, L. S., Oppedal, A. L., & El Kadiri, H. (2018). Crystal Plasticity Modeling of Anisotropic Hardening and Texture Due to Dislocation Transmutation in Twinning. Materials (Basel, Switzerland), 11(10). https://doi.org/10.3390/ma11101855
Allen RM, et al. Crystal Plasticity Modeling of Anisotropic Hardening and Texture Due to Dislocation Transmutation in Twinning. Materials (Basel). 2018 Sep 28;11(10) PubMed PMID: 30274190.
* Article titles in AMA citation format should be in sentence-case
TY - JOUR T1 - Crystal Plasticity Modeling of Anisotropic Hardening and Texture Due to Dislocation Transmutation in Twinning. AU - Allen,Robert M, AU - Toth,Laszlo S, AU - Oppedal,Andrew L, AU - El Kadiri,Haitham, Y1 - 2018/09/28/ PY - 2018/09/10/received PY - 2018/09/10/revised PY - 2018/09/15/accepted PY - 2018/10/3/entrez PY - 2018/10/3/pubmed PY - 2018/10/3/medline KW - crystal plasticity KW - dislocations KW - hardening KW - magnesium KW - modeling KW - self consistent methods KW - simulation KW - twinning JF - Materials (Basel, Switzerland) JO - Materials (Basel) VL - 11 IS - 10 N2 - In crystalline materials, dislocations are three-dimensional lattice distortions that systematically distort twin interfaces that they encounter. This results in dislocation dissociation events and changes in the atomic structure of the interface. The manner in which the interface distorts drive the product of the dissociation event, and consequently, the incident dislocation core and the magnitude and relative direction of the Burgers vector govern these slip-twin interaction phenomena. Recent characterization studies using transmission electron microscopy as well as advanced molecular dynamic simulations have shown that slip dislocations, whether striking or struck by a {10 1 ¯ 2} twin boundary, dissociate into a combination of twinning disconnections, interfacial disclinations (facets), jogs, and other types of dislocations engulfed inside the twin domains, called transmuted dislocations. While twinning disconnections were found to promote twin propagation, the dislocations incorporated inside the twin are of considerable importance to hardening and damage initiation as they more significantly obstruct slip dislocations accommodating plasticity of the twins. In this work, the dislocation transmutation event and its effect on hardening is captured using a dislocation density based hardening model contained in a visco-plastic self-consistent mean-field model. This is done by allowing the twins to increase their dislocation densities, not only by virtue of slip inside the twin, but also through dislocations that transmute from the parents as the twin volume fraction increases. A correspondence matrix rule is used to determine the type of converted dislocations while tracking and parameterizing their evolution. This hypothesis provides a modeling framework for capturing slip-twin interactions. The model is used to simulate the mechanical response of pure Mg and provides a more physically based approach for modeling stress-strain behavior. SN - 1996-1944 UR - https://www.unboundmedicine.com/medline/citation/30274190/Crystal_Plasticity_Modeling_of_Anisotropic_Hardening_and_Texture_Due_to_Dislocation_Transmutation_in_Twinning_ L2 - http://www.mdpi.com/resolver?pii=ma11101855 DB - PRIME DP - Unbound Medicine ER -
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