Mechanical properties assessments of as‐cast light alloys predicted by a new size‐sensitive variant of Differential Effective Medium theory

• Published in: Proceedings in applied mathematics and mechanics Vol. 19; no. 1
• Main Authors: Parashkevova, Ludmila, Drenchev, Ludmil
• Format: Journal Article
• Language: English
• Published: Berlin WILEY‐VCH Verlag 01-11-2019
• ISSN: 1617-7061; 1617-7061
• DOI: 10.1002/pamm.201900162

The presented analytical approach is aimed to evaluate the mechanical properties of multiphase alloys regarded as “in situ” multiphase composites. The materials of interest are composites with high volume fraction of phases embedded into the micropolar matrix. According to the two‐steps homogenization procedure adopted, the multiphase Representative Volume Element (RVE) is equivalent to a RVE containing several pseudo grains. Each pseudo‐grain is a two‐phase composite with predominant non‐matrix phase. The new size‐ sensitive variant of Differential Effective Medium (DEM) homogenization scheme for a two‐phase composite is described in close form for sphere‐like inclusions. The particular case when the inclusions and the matrix have one and the same bulk modulus is applied to model the elastic behaviour of cast Mg alloys with discontinuous precipitations. The analytical solutions obtained for a composite with zero bulk modulus of inclusions are appropriate for modelling of high porosity materials with closed cells.