Computational Design & Manufacturing Lab

University of Wisconsin-Madison
























Optimal design of multi-physics systems

 Topology optimization aims to determine optimal shape and connectivity of material distributions under physical constraints. We are studying methods for topology optimization of multi-physics systems, where human intuition is often inadequate to cope with the coupling nature of multi-physics systems.

We have used the continuous adjoint approach to study the optimization of electromechanical systems for the design of actuators, the optimization of thermofluid systems under tangent thermal gradient constraints, and the optimal design of electric field for light absorption in organic solar cells. The figure below illustrates some of the multi-physics problems we have worked on.

Figure 1 Examples of multi-physics topology optimization

Representative publications:

o   Qian, X. and Dede E. M., ``Topology optimization of coupled thermal-fluid systems under tangent thermal gradient constraints,'' Structural and Multidisciplinary Optimization, in press, 2015. [pdf]

o   Wang, M. and Qian, X., `` Efficient filtering in topology optimization via B-splines,'' ASME Journal of Mechanical Design, Vol. 137, No. 3, pp. 031402, 2015 [pdf].

o   Xia, S., Li, G.  and Qian, X., ``Optimal shape for optical absorption in organic thin film solar cells,'' Structural and Multidisciplinary Optimization,  50 (3), 437-451, 2014. [pdf]

o   Qian, X., "Topology Optimization in B-spline space'', Computer Methods in Applied Mechanics and Engineering, Vol. 265, pp. 15 - 35, 2013.[pdf]

o   Qian, X. and Sigmund, O., "Topological Design of Electromechanical Actuators with Robustness toward over- and under-etching", Computer Methods in Applied Mechanics and Engineering, Vol. 253, pp. 237 - 251, 2013. [pdf]

o   Qian, X. and Sigmund, O, "Isogeometric shape optimization of photonic crystals via Coons patches," Computer Methods in Applied Mechanics and Engineering, Vol. 200, No. 25 - 28, pp. 2237 - 2255, 2011.[pdf]

o   Li, K. and Qian, X., "Isogeometric analysis and shape optimization via boundary integral", Proceedings of SIAM/ACM Joint Conference on Geometric and Physical Modeling (GD/SPM11) (Best Paper Award), Computer-Aided Design, Vol. 43, No. 11, pp. 1427 - 1437, 2011. [pdf]

o   Qian, X., "Full Analytical Sensitivities in NURBS based Isogeometric Shape Optimization," Computer Methods in Applied Mechanics and Engineering, Vol. 199, No. 29 -32, pp. 2059 - 2071, June 2010. [pdf]














Last updated Feb 21, 2014.




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