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MECSOL 2022
8th International Symposium on Solid Mechanics
Ordered SIMP multi-material topology optimization considering volume constraints per material
Submission Author:
Otávio Augusto Alves da Silveira , SC
Co-Authors:
Otávio Augusto Alves da Silveira, Lucas Farias Palma
Presenter: Otávio Augusto Alves da Silveira
doi://10.26678/ABCM.MECSOL2022.MSL22-0036
Abstract
The ordered SIMP interpolation approach is used in this paper to formulate a multi-material compliance minimization problem with volume constraints per material. Originally proposed for a mass and cost constrained design, the ordered SIMP can be modified to account for this type of constraints. One of the motivations for such a modified problem is the possibility of comparison with other multi-material approaches where volume constraints are typically used. The physical meaning of the design variables as normalized mass densities is lost in the approach proposed in this work. The entire design variable interval, [0,1], can be arbitrarily divided between the different material phases. Density filtering with a threshold projection is used to prevent the formation of checkerboard patterns and ensure mesh independence. The effectiveness of the proposed formulation is evaluated through numerical examples and compared with other literature results.
Keywords
Topology optimization, multi-materials, ordered SIMP, volume constraint

