Geometrical model and strategy in single and multilayer structures deposited by powder-fed Directed Energy Deposition

The authors acknowledge support from the European Commission through the project "PARADDISE: a Productive, Affordable and Reliable solution for large scale manufacturing of metallic components by combining laser-based Additive and Subtractive processes with high Efficiency” (Grant Agreement 723440), an initiative of the Public-Private Partnership “Photonics and Factories of the Future”. The authors also acknowledge support from the European Institute of Innovation & Technology (EIT) through the project "DEDALUS: Directed Energy Deposition machines with integrated process ALgorithms Under dedicated monitoring and control System” (ID 20094), an initiative of the EIT Manufacturing. Finally, the authors acknowledge the vice-counseling of technology, innovation and competitiveness of the Basque Country for support of the project “PROCODA: Procesos de alto valor basados en el conocimiento y los datos” (KK2019/00004) within Elkartek 2019 and the project “ADDISEND: cooperacion cientifica en fabricacion aditiva para un control robusto de la cadena de valor” (kk2018/00115).