MECHANICAL PROPERTIES OF Aluminium-Magnesium-Silicon ALLOYS FOR AUTOMOTIVE AND AEROSPACE APPLICATIONS: A DENSITY FUNCTIONAL THEORY-BASED STUDY
Abstract
Aluminum and its alloys are utilized in various purposes, including aircraft skin,
cookware, building cladding, train carriages, and electrical lines. This is attributable to
their advantages, which encompass low density (physical density of 2.7g/cm3, which is
approximately a third that of steel), non-corrosivity, formability, good thermal and
electrical conductivity, and availability. Moreover, its non-corrosivity diminishes with
alloying. Several studies, mostly experimental, have been done on aluminum
magnesium-silicon (Al-Mg-Si) alloys (6xxx series). Mechanical properties, especially
strength and ductility, have been explored in those earlier studies. However, other
mechanical properties such as bulk modulus, shear modulus, Young’s modulus, Poisson’s
ratio, Pugh’s ratio, creep, and resilience have not been explored extensively. While this
study touched on ductility and hardness, it also explored the bulk modulus, shear
modulus, Young’s modulus, Poisson’s ratio, Pugh’s ratio, and yield strength of Al-Mg-Si
alloys. The main objective of this study was to determine the alloy composition that
could yield stronger, harder, and more ductile materials that are appropriate for both
aerospace and automotive industries by making use of density functional theory (DFT)
calculations. The modeling of the structures was done using an aluminum cell as the
starting structure, whose crystallographic information file was downloaded from the
Crystallography.net website. It was then transferred to Burai software, where the unit cell
was visualized and then transformed into 3 × 3 × 3 supercells containing 108 atoms, after
which the supercells were alloyed with the appropriate number of Mg and Si atoms. Nine
structures of Al-Mg-Si alloys with different percentages of Al, Mg, and Si were
investigated. Structural optimization of the alloyed supercells was done as a preliminary
to the study. The variable-cell relaxation was done using the Brodyden-Fletcher
Goldfarb-Shanno (BFGS) algorithm. The stress-strain method was employed in the
calculation of elastic stiffness constants, from which mechanical properties were
obtained. The elastic constants were calculated using Density Functional Theory (DFT)
with the Perdew-Burke-Ernzerhof for Solids (PBESOL) functional, as implemented in
the Quantum Espresso software. This work has conclusively demonstrated that the Si/Mg
ratio is a pivotal determinant of the mechanical properties of Al-Mg-Si alloys. The
optimal parameters identified in this study include a density of 2762 kg/m³, a bulk
modulus of 83.3 GPa, a shear modulus of 34.4 GPa, a Vickers hardness of 2.79 GPa, a
Poisson’s ratio of 0.413, a Pugh’s ratio of 5.42, and a yield strength of 8.38 GPa. The
ideal Si/Mg ratio for the majority of characteristics is 4.5. The alloys exhibiting these
optimal features are suitable for industrial applications that necessitate such
characteristics, including aircraft skins and mining equipment, particularly those with
maximum hardness and yield strength. Their superior ductility enables their application
in the fabrication of motor vehicle components and rail carriages. The alloys' low density
renders them appropriate for manufacturing airplane components, as they enhance load
capacity by minimizing part weight.
