Details

Autor(en) / Beteiligte

• Geoffroy‐Donders, Perle
• Allaire, Grégoire
• Michailidis, Georgios
• Pantz, Olivier

Titel

Coupled optimization of macroscopic structures and lattice infill

Ist Teil von

• International journal for numerical methods in engineering, 2022-07, Vol.123 (13), p.2963-2985

Ort / Verlag

Hoboken, USA: John Wiley & Sons, Inc

Erscheinungsjahr

2022

Quelle

Wiley-Blackwell Journals

Beschreibungen/Notizen

• Summary This article is concerned with the coupled optimization of the external boundary of a structure and its infill made of some graded lattice material. The lattice material is made of a periodic cell, macroscopically modulated and oriented. The external boundary may be coated by a layer of pure material with a fixed prescribed thickness. The infill is optimized by the homogenization method while the macroscopic shape is geometrically optimized by the Hadamard method of shape sensitivity. A first original feature of the proposed approach is that the infill material follows the displacement on the exterior boundary during the geometric optimization step. A second key feature is the dehomogenization or projection step which build a smoothly varying lattice infill from the optimal homogenized properties. Several numerical examples illustrate the effectiveness of our approach in 2‐d, which is especially convenient when considering design‐dependent loads.