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Investigation of the In-Plane Mechanical Anisotropy of Magnesium Alloy AZ31B-O by VPSC–TDT Crystal Plasticity Model

School of Mechanics & Civil Engineering, China University of Mining and Technology (Beijing), Beijing 100083, China
State Key Laboratory of Solidification Processing, Northwestern Polytechnical University, Xi’an 710072, China
State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai 200240, China
Department of Mechanical Engineering, McMaster University, Hamilton, ON L8S 4L7, Canada
Author to whom correspondence should be addressed.
Materials 2019, 12(10), 1590;
Received: 10 April 2019 / Revised: 8 May 2019 / Accepted: 13 May 2019 / Published: 15 May 2019
(This article belongs to the Special Issue Behavior of Metallic and Composite Structures)
PDF [5450 KB, uploaded 15 May 2019]


The in-plane mechanical anisotropy of magnesium alloy sheet, which significantly influences the design of the parts produced by Mg alloy sheets, is of great importance regarding its wide application. Though the stress–strain response and texture evolution have been intensively investigated, and the anisotropy of Mg alloy can be significantly substantiated by its R-value, which reveals the lateral response of a material other than the primary response. As a consequence, the conjunction of viscoplastic self-consistent model and twinning and detwinning scheme (VPSC–TDT) is employed to investigate the in-plane anisotropy of magnesium alloy AZ31B-O sheet. The loading cases include both tension and compression along different paths with respect to the processing direction of the sheet. It is revealed that the stress–strain relation, texture evolution, R-value, and involved deformation mechanisms are all loading path-dependent. The unique R-values of Mg alloys are interpreted with the aid of modeling behaviors of Mg single crystals. The results agree well with the corresponding experiments. It is found that the hexagonal close-packed (HCP) crystallographic structure, deformation twinning, and initial basal texture are responsible for the characteristic behavior of Mg alloys. View Full-Text
Keywords: AZ31B alloy; anisotropy; polycrystal plasticity; twinning; R-value AZ31B alloy; anisotropy; polycrystal plasticity; twinning; R-value

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Zhang, B.; Li, S.; Wang, H.; Tang, W.; Jiang, Y.; Wu, P. Investigation of the In-Plane Mechanical Anisotropy of Magnesium Alloy AZ31B-O by VPSC–TDT Crystal Plasticity Model. Materials 2019, 12, 1590.

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