Applied Mathematics and Nonlinear Sciences (Jan 2024)
Machining hardening and dislocation modeling of magnesium alloys based on Fields-Backofen equation
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.
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