Distribution of Generalized Schmid Factor in Euler Orientation Space and Rollability of AZ31B Alloy with Basal Texture
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JMEPEG https://doi.org/10.1007/s11665-020-05279-7
Distribution of Generalized Schmid Factor in Euler Orientation Space and Rollability of AZ31B Alloy with Basal Texture Baolin Wu, Linghui Song, Gang Wan, Xinghao Du, Jacques Muller, and Claude Esling Submitted: 3 January 2020 / Revised: 11 August 2020 / Accepted: 8 September 2020 The activation of deformation mechanisms in magnesium alloys is Schmid factor-related. The concept of a generalized Schmid factor (G-SF) and a corresponding calculation method were proposed. The G-SF was calculated under a general stress state of plate rolling to discuss the rollability of a textured AZ31B magnesium alloy in terms of the Schmid factor criterion. A low reduction per pass (RPP) is favorable for rollability. The G-SF for basal slip systems of grains in the basal orientation remained constant, but it increased for (0-110)[2-1-10] and (1-100)[11-20] prismatic slip systems with a decrease in RPP. Similarly, the G-SF for all pyramidal slip systems and contraction twinning systems increased with a decrease in RPP. The rollability benefits from such a development trend and makes the synchronous activation of deformation modes possible. Keywords
basal texture, generalized Schmid factor, magnesium alloy, slip, twinning
1. Introduction Unlike face-centered cubic metals that have 12 slip systems, magnesium and its alloys with a hexagonal close-packed crystal structure have three slip systems if basal Æaæ slip is considered. Two of the three slip systems are independent and are unable to satisfy the Von-Mises criterion (Ref 1, 2) and in practice, magnesium alloys have many deformation modes (Ref 3-9). In addition to basal Æaæ, prismatic Æaæ, pyramidal Æaæ and pyramidal Æc+aæ slips, {10-12}Æ10-11æ extension twinning and {10-11}Æ10-1-2æ contraction twinning usually occur, but the critical resolved shear stress (CRSS) is different for these deformation modes at room temperature. The difference between CRSSs makes it difficult for the various deformation modes to be activated synchronously. Consequently, magnesium alloys exhibit a limited ductility. Deformation mode activation depends on its CRSS and orientation factor, i.e., the Schmid factor (SF) of the deformed grain. In the past decade, much research had been conducted into the effect of SF on the deformation mechanisms. Previous research work focused on the SF effect, usually under uni-axial tension or compression. In this case, SF was characterized by a relationship between the
Baolin Wu, Linghui Song, Gang Wan, and Xinghao Du, School of Materials Science and Engineering, Shenyang Aerospace University, South Avenue of Daoyi, Shenyang 110136, China; Jacques Muller, 3, Rue du Jasmin, 67350 Pfaffenhofen, France; Claude Esling, CNRS, Arts et Me´tiers ParisTech, LEM3, Universite´ de Lorraine, 57000 Metz, France; and Laboratory of Excellence on Design of Alloy Metals for Low-Mass Structures (DAMAS), Universite´ de Lorraine, 57073 Metz Cedex 03, France. Contact e-mails: [email protected] and [email protected].
Journal of Materials Engineer
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