Applied Mathematics and Nonlinear Sciences
Journal license

Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 8, Issue 2


Published
on

October 11, 2023


Pages


DOI

Article

Machining hardening and dislocation modeling of magnesium alloys based on Fields-Backofen equation


Authors

Congzheng Zhang Affiliation:
College of Mechanical and Electrical Engineering, Nanyang Normal University, Nanyang, Henan, 473061, China.
, Chen Liang Affiliation:
College of Mechanical and Electrical Engineering, Nanyang Normal University, Nanyang, Henan, 473061, China.
, Yucheng Fan Affiliation:
College of Mechanical and Electrical Engineering, Nanyang Normal University, Nanyang, Henan, 473061, China.
, Jiahui Jiang Affiliation:
College of Mechanical and Electrical Engineering, Nanyang Normal University, Nanyang, Henan, 473061, China.
, Xuehan Sun Affiliation:
College of Mechanical and Electrical Engineering, Nanyang Normal University, Nanyang, Henan, 473061, China.
, Qingsong Yuan Affiliation:
College of Mechanical and Electrical Engineering, Nanyang Normal University, Nanyang, Henan, 473061, China.
and Haoyu Guo Affiliation:
College of Mechanical and Electrical Engineering, Nanyang Normal University, Nanyang, Henan, 473061, China.


Abstract

Magnesium alloys are now widely used, and the Fields-Backofen equation is combined with an investigation of the properties of common magnesium alloys in order to be able to better analyze them. In this paper, some properties, applications and superiority of magnesium alloys are first analyzed, in which the plastic deformation mechanism slip and twinning of magnesium alloys are particularly explored in detail. Focusing on the stages and model of machining hardening dislocations of magnesium alloy, and combined with Fields-Backofen equation, a model of machining hardening and dislocations of magnesium alloy based on Fields-Backofen optimization is constructed. Then the constructed model was applied to stage III of machining hardening dislocations in magnesium alloy for performance testing. The predicted and actual maximum values of the model were 132MPa and 30MPa, which were in basic agreement with 130MPa and 32MPa. The saturation stresses ranged from 50 MPa to 6 MPa for temperatures from 100°C to 500°C when the strain rate of the dislocation processing stage was 10−2 s−1, and from 55 MPa to 10 MPa for temperatures from 100°C to 500°C at a strain rate of 10−3 s−1. Finally, only basal slip and twin initiation with higher saturation stresses were obtained at lower temperatures. As the temperature continues to increase, the dislocation density decreases, plastic deformation becomes easier, and then the saturation stress decreases.


Keywords

Magnesium alloy, Fields-Backofen equation, Shaping mechanism, Work hardening, Dislocation model, 78-02


Citation

Zhang, C., Liang, C., Fan, Y., Jiang, J., Sun, X., Yuan, Q., & Guo, H. (2023). Machining hardening and dislocation modeling of magnesium alloys based on fields-backofen equation. Applied Mathematics and Nonlinear Sciences, 8(2). https://doi.org/10.2478/amns.2023.2.00581

Published by: Engineering Journals

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