Modelling of flat pre-strain driven structures, folding to desired surface and application to 3D-printing on textiles

This paper provides an algorithm for the 3D printing technology, decomposing the entire surface into subdomains of different curvature, to be covered by distance holding reinforcing substructures in each subdomain. The domain decomposition is based on a draping simulation and a membrane stress analysis. The choice of printed substructures is based on our previous mathematical analysis using dimensional reduction and homogenization of textiles, stable and unstable thin fibre structures. Driving shaping mechanisms of 3D printed textiles are modelled and classified. The models are based on some previous and recent mathematical analysis work. The proposed approach is illustrated by some simulations with tool TexMath.