Projects per year
Abstract
This thesis considers the application of the topology optimization method to multiscale
problems, specifically the fluidstructure interaction problem. By multiplescale methods
the governing equations, the NavierCauchy and the incompressible NavierStokes equations
are expanded and separated leaving a set of micro and macroscale equations for the
interaction modeling.
The topology optimization method is applied to the material design in order to optimize
the pressure coupling properties of porous materials. Furthermore, by combining
both the material design and the macroscopic modeling, it is shown that the material microstructure
can be optimized with respect to application scale properties. A poroelastic
actuator consisting of two saturated porous materials is optimized using this approach.
Based on the homogenization of a fixed microstructure topology, material design interpolation
functions are obtained for use in material distribution problems of a saturated
poroelastic structure. Topology optimization is applied for the optimization of an impact
absorbing structure and the fluidstructureinteraction of a pressurized lid.
A third application considers the pure fluid flow in a microfluidic mixer. The mixing of
a transported matter is optimized by means of topology optimization and it is shown that
the optimized designs contain geometric elements such as slanted grooves and staggered
herringbones also used in the literature.
To ensure the manufacturability of the topology optimized designs a new explicit
parametrization is proposed. It allows for casting/milling type manufacturing and ensures
a binary design. The method is successfully applied to micromixer design.
Original language  English 

Place of Publication  Kgs. Lyngby, Denmark 

Publisher  Technical University of Denmark 
Number of pages  158 
ISBN (Print)  9788790416591 
Publication status  Published  2011 
Series  DCAMM Special Report 

Number  S131 
ISSN  09031685 
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Projects
 1 Finished

Multiscale Optimization of Materials Subjected to Impact Loading
Andreasen, C. S., Sigmund, O., Jensen, J. S., Klarbring, A. & Rodrigues, H. C.
01/03/2008 → 28/09/2011
Project: PhD