Abstract

The phase-field method has emerged as the method of choice for simulation of microstructure evolution and phase-transformations in material science. It has wide applications in solidification and solid state transformations in general. Recently, the method has been generalized to treat large deformation and damage in solids. A through process full-field simulation will be presented starting from solidification and ending with the evolution of damage during large deformation. Aspects of numerical discretization, efficient numerical integration and massive parallelization will be discussed.

Highlights

  • Due to their low density, magnesium alloys are of high importance for modern lightweight structures and are widely used for various applications in automotive and aerospace industries as well as in the consumer electronics

  • The most applied alloying element in Mg alloys is aluminum which is used for AZ91, AM50 or AZ31 technical alloys

  • The mechanical properties of Mg-Al alloys are primarily determined by their microstructure which consists of two main phases: the Mg-rich hexagonal close-packed (HCP) α-phase and a near stoichiometric Mg17Al12 β-phase, and further minor secondary phases due to third alloying elements

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Summary

Introduction

Due to their low density, magnesium alloys are of high importance for modern lightweight structures and are widely used for various applications in automotive and aerospace industries as well as in the consumer electronics. Experiments, as in [4] revealed that the formation of a closed shell of β-phase, preventing α-phase dendrites from building networks, is a good strategy to significantly increase the corrosion resistance of cast MgAl alloys. It severely hinders the galvanic corrosion if Mg-alloys are brought into contact with more noble metals. We apply the phasefield method [6, 7, 8] to simulate the solidification microstructure of Mg-Al alloys. We outline the strategy for the full solidification cycle simulation using the phase-field method followed by a damage simulation

Phase-Field Model
Nucleation model
Mechanical framework
Result
Parallelism
Conclusion
Full Text
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