Topological Optimization For Multi-scale Modeling Of Porous And Architectural Structures. Doctorat Thesis (2022) , Université De Batna 2.

Résumé: This research work focuses on understanding structural morphologies at different scales and studying their mechanical behavior in the context of the development of topology optimization by the concern of creation and valuation of new porous and architectured materials in fields of industrial, aerospace, and even medical applications. We focused on developing a multi-scale modeling approach of porous and architectural structures allowing the production of the structure by Additive Manufacturing for aeronautical and medical applications. Therefore, we demonstrated an approach based on 3D printing of structure production by displaying the numerical and experimental results in the aerospace and medical field. Firstly, we introduced the design stage of the CAD model equivalent for the designed turbine blade. By applying the method of Topology Optimization for finding the optimal density distribution of lattice structures and selecting the proposed technique for manufacturing the lattice structures. Numerical simulations have been carried out for gas turbine blades and obtaining the deformation and stress values under thermomechanical loads, present some results, and discuss them. On another hand, created a new design based on three lattice structures from triply periodic minimal surfaces (TPMS) with a different volume porosity to replace cancellous bone based on predicting the mechanical stiffness. Finally, present some results and their interpretations and discuss them.

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