Topology optimization of structures and infill for additive manufacturing
Oct 12, 2, 9:00-10:30
Ole Sigmund, Dep. Mechanical Engineering, Technical University of Denmark, email@example.com
Topology optimization (TO) is widely used for generating optimal structures for realization by additive manufacturing (AM). Due to the ultimate design freedom of TO it delivers optimal but often rather complex topologies. As such, TO is a design method that takes full advantage of the large design freedom offered by AM technologies. Much recent effort in the TO community has been devoted to the development of algorithms that take manufacturing constraints into account, such as overhang angles, printing directions, infill and minimization of support material.
The talk will discuss recent developments in simultaneous design of structures and their infill using TO. Infill in AM is often used to reduce material consumption and weight. Infill is also used as a design gimmick to illustrate the capabilities of AM to mimic natural creations like honeycombs and bone structure. Partly for manufacturing reasons, infill microstructure is often built as open-walled foam structures. However, as maybe unknown to many, open-walled microstructures are not optimal with respect to stiffness . On the other hand, porous infill structures may have superior buckling stability . The talk will discuss above issues in more detail and present recent developmentsin TOwith uniform and isotropic infill [3, 4]; anisotropic infill for fixed outer geometries ; simultaneous anisotropic infill and structural design ; stiffness and buckling optimization of involved microstructures [7,8]; as well as developments in efficient multiscale TO, with which computational costs for afore mentioned design problems can be cut by orders of magnitude .
 O. Sigmund, N. Aage, and E. Andreassen. On the (non-)optimality ofMichell structures,Structural and Multidisciplinary Optimization, 54:361–372, 2016.
 A. Clausen, N. Aage, and O. Sigmund. Exploiting additive manufacturing infill in topology optimization for improved buckling load,Engineering, 2:250–257, 2016.
 A. Clausen, N. Aage, and O. Sigmund. Topology optimization of coated structures and material interface problems,Computer Methods in Applied Mechanics and Engineering, 290:524–541, 2015.
 A. Clausen, E. Andreassen, and O. Sigmund. Topology optimization of 3D shell structures with porous infill,ActaMechanicaSinica, 33:778-791, 2017.
 J. Wu, N. Aage, R. Westermann, and O. Sigmund. Infill optimization for additive manufacturing – approaching bone-like porous structures. Transactions on Visualization and Computer Graphics, 24:1127-1140, 2018.
 J. Wu, A. Clausen, and O. Sigmund. Topology optimization of shell-infill composites for additive manufacturing,Computer Method in Applied Mechanics and Engineering, 326:358-375, 2017.
 Träff, E., Sigmund, O. &Groen, J., Simple single-scale microstructures based on rank-3 optimal laminates, arXiv:1809.03942, 2018.
 Thomsen, C.; Wang, F. & Sigmund, O., Buckling strength optimization of 2D periodic materials based on linearized bifurcation analysis, Computer Methods in Applied Mechanics and Engineering, 339, 115-136, 2018.
 Groen, J. & Sigmund, O., 2018. Homogenization-based topology optimization for high-resolution manufacturable microstructures, International Journal of Numerical Methods in Engineering, 113, pp. 1148-1163, 2018.
 Groen. J., Wu, J. & Sigmund, O., Optimization and projection of coated structures with orthotropic infill material, arXiv:1808.04740, 2018.
Ole Sigmund is a Professor and Villum Investigator at the Department of Mechanical Engineering, Technical University of Denmark (DTU). He obtained his Ph.D.-degree 1994 and Habilitation in 2001 and has held research positions at University of Essen and Princeton University. He is a member of the Danish Academy of Technical Sciences and the Royal Academy of Science and Letters (Denmark) and is the former President (2011-15, now EC member) of ISSMO (International Society of Structural and Multidisciplinary Optimization) and former Chairman of DCAMM (Danish Center for Applied Mathematics and Mechanics, 2004-2010). Together with Noboru Kikuchi and Martin Bendsøe, Ole Sigmund is one of the founders and main contributors to the development of topology optimization methods in academia and industry. Present research interests include theoretical extensions and applications of topology optimization methods to mechanics and multiphysics problems under the consideration of manufacturing constraints and multiple length scales. Ole Sigmund has authored more than 190 international journal papers which are cited more than 12,300 times in the ISI Science Citation Index and his H-index is 54.
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