Generation of adaptive cellular structures to surfaces with complex geometries using Homotopy functions and conformal transformation

Abstract

The optimal use of resources has motivated the engineering community to employ controlled distribution of material within their structural designs, often relying on cellular and lattice porous structures. In this research work, a computational method is implemented to generate porous lattice structures conforming to surfaces with complex geometry. This method allows solving the problem of integrating cellular structures in engineering applications with complex macro-geometries. Examples of surface transformation are shown in this report. In addition, an applied model is shown where the effects of the transformation on the mechanical properties are analyzed.