Material distribution topology optimization for boundary-effect-dominated problems

Abstract: In the classical design optimization using the material distribution method (density-based topology optimization), a material indicator function represents the presence or absence of material within the domain. The first part of this talk provides an introduction to material distribution topology optimization with an emphasis on mathematical morphology, non-linear filters, and length scale control.

To use the material distribution approach for boundary-effect-dominated problems, we need to identify the boundary of the design at each iteration; this talk discusses two methods to achieve this. The first is to use a boundary strip indicator function defined on the elements of the computational mesh. The second is to use a boundary indicator function defined on the mesh faces (edges in 2D and facets in 3D). The second part of my presentation covers the main ideas behind both approaches and showcases results from two applications, one suitable for each approach.

numerical analysisoptimization and control

Audience: researchers in the discipline

CAM seminar

Series comments: Online streaming via zoom on exceptional cases if requested. Please contact the organizers at the latest Monday 11:45.