Multi-Material Topology Optimization on Separate Tetrahedral Meshes with Explicit Design Resolution by Means of Remeshing

As a method of lightweight design, multi-material design aims to make targeted use of
materials in order to reduce CO2 emissions. In this context, it can be described as one of the product
development methods used to meet the challenges of climate change. However, since the design of
structures in multi-material design is complex, topology optimization can be used to support the
product developer. In this article, a multi-material topology optimization method is developed that
combines the Velocity Field Level Set method with the Reconciled Level Set method. Furthermore,
the current design is explicitly resolved in each iteration by means of multi-material remeshing. The
edge collapse phase in the remeshing process is achieved by applying the producer consumer pattern.
The developed method is then validated using known examples from the state of research, and the
influence of the parameters of the method on the result is analyzed by means of studies.