Design of homogenized microstructure using stress-based topology optimization

This paper aims at designing microstructures using stress-based topology optimization. Most of the developments so far have been made for compliance design in various field of applications as reflected in the literature. The emergence of the new additive manufacturing techniques allows to consider porous material, such as lattice structures for instance, which ca be used for the design of structural components subject to various solicitations. Those components must account for the stress level to prevent failure everywhere in the microstructure and by extension the whole structure itself. This work proposes to design such microstructure using topology optimization with limitation on the stress level within the microstructure before printing the result. The homogenization technique is used to determine the equivalent material properties. The issues and perspectives are also discussed.