Auxetic Lattice Structures for Turbomachinery Application – a Simulative Parameter Study

Auxetic structures are characterised by a negative Poisson’s ratio. There are a variety of auxetic structures out of which the relevant ones are highlighted. After a simulative comparison of the thermal and mechanical properties, the most suitable structure and topology is selected for the application in turbomachinery. A parameter variation of this topology leads to an analytical model that describes the mechanical behaviour of the recursive lattice structure as a function of these geometric parameters: the recursive angle Θ, the aspect ratio α, the normalised wall thickness β, the normalised radius κ and the cell density n. Regarding the thermal properties, the so-called resistance length R_L is introduced, which allows a good prediction of the thermal behaviour depending on the cell dimensions. Finally, potential fields of application in the literature are outlined.