Structural multiscale topology optimization with stress constraint for additive manufacturing
- Auricchio, Ferdinando
- Bonetti, Elena
- Carraturo, Massimo
- Hömberg, Dietmar
- Reali, Alessandro
- Rocca, Elisabetta
2010 Mathematics Subject Classification
- 74P05 49M05 74B99
- Additive manufacturing, first-order necessary optimality conditions, phase-field method, structural topology optimization, functionally graded material
In this paper a phase-field approach for structural topology optimization for a 3D-printing process which includes stress constraint and potentially multiple materials or multiscales is analyzed. First order necessary optimality conditions are rigorously derived and a numerical algorithm which implements the method is presented. A sensitivity study with respect to some parameters is conducted for a two-dimensional cantilever beam problem. Finally, a possible workflow to obtain a 3D-printed object from the numerical solutions is described and the final structure is printed using a fused deposition modeling (FDM) 3D printer.
- Math. Models Methods Appl. Sci., 30 (2020), pp. 1461--1483, DOI 10.1142/S0218202520500281 with the new title ``A phase-field-based graded-material topology optimization with stress constraint''.