Topology optimization is a design method that afford an optimal layout with the minimization of a function, which describe a functional aspect, under prescribed constraints. The most common problem analysed in topology optimization is the compliance minimization, i.e. maximization of stiffness, under prescribed volume constraint. Here, we propose a multiscale approach with multi-material formulation where several microstructures, which differ in terms of material and topology, are generated using an implicit function. This approach, based on the theory of ho-mogenization, allows to account for different microstructures and enables to obtain functionally graded structures. Several numerical examples are shown to illustrate the main features and advantages of the proposed multi-scale topology optimization approach.

A MULTI-SCALE TOPOLOGY OPTIMIZATION APPROACH WITH IMPLICIT FUNCTION-BASED MICRO-STRUCTURES

Nale Andrea
Primo
;
Chiozzi Andrea
Secondo
2023

Abstract

Topology optimization is a design method that afford an optimal layout with the minimization of a function, which describe a functional aspect, under prescribed constraints. The most common problem analysed in topology optimization is the compliance minimization, i.e. maximization of stiffness, under prescribed volume constraint. Here, we propose a multiscale approach with multi-material formulation where several microstructures, which differ in terms of material and topology, are generated using an implicit function. This approach, based on the theory of ho-mogenization, allows to account for different microstructures and enables to obtain functionally graded structures. Several numerical examples are shown to illustrate the main features and advantages of the proposed multi-scale topology optimization approach.
2023
topology optimization
multi-scale approach
implicit function method
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11392/2547710
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