Material interpolation schemes for unified topology and multi-material optimization

Authors:
Christian Frier Hvejsel;Erik Lund
Affiliations:
Department of Mechanical and Manufacturing Engineering, Aalborg University (AAU), Aalborg Øst, Denmark 9220;Department of Mechanical and Manufacturing Engineering, Aalborg University (AAU), Aalborg Øst, Denmark 9220
Venue:
Structural and Multidisciplinary Optimization
Year:
2011

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Abstract

This paper presents two multi-material interpolation schemes as direct generalizations of the well-known SIMP and RAMP material interpolation schemes originally developed for isotropic mixtures of two isotropic material phases. The new interpolation schemes provide generally applicable interpolation schemes between an arbitrary number of pre-defined materials with given (anisotropic) properties. The method relies on a large number of sparse linear constraints to enforce the selection of at most one material in each design subdomain. Topology and multi-material optimization is formulated within a unified parametrization.