Generalized SFP parameterization for topology optimization including lattice structures

Abstract eng:
Laminate selection in composite structure optimization can be formulated as a topology optimization problem with N materials. To interpolate the material properties of the candidate materials, we extend the Shape Function with Penalization (SFP) parameterization introduced by Bruyneel (2011). With the SFP parameterization and Lagrange shape functions, the number of possible materials is limited to the number of nodes found in ... ... We show here that is possible to consider any number of materials by resorting to Wachspress functions, which have been used to define finite elements with an arbitrary number of nodes. The generalized parametrization is presented before being validated by solving academic test problems. Then the new parametrization scheme is illustrated in solving composite structures and topology optimization of structures fabricated by additive manufacturing making use of lattice structures subdomains.

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