Additively manufactured AlSi10Mg lattices – Potential and limits of modelling as-designed structures

•As-built and heat-treated AlSi10Mg specimen are used to parametrise a material model.•Microstructural analyses explore the mechanical behaviour of bulk and lattices.•Lattices are experimentally investigated in compression, tension, torsion and shear.•The elastic–plastic material model predicts the mechanical behaviour of lattices.•Powder, process parameters and geometry influence porosity and surface quality.