TOP Webinar Tutorials: Density methods 3 - Multiscale

The last of three tutorial lectures by Professor Ole Sigmund on density-based methods. The third lecture covers multiscale approaches and microstructures. 00:00 Welcome to webinar 00:19 Announcement of lectures on level set methods 01:40 Introduction of Prof. Ole Sigmund 02:03 Beginning of lecture 03:48 Brief history of topology optimisation 04:42 Density/SIMP approach 05:11 Local volume constraint 06:14 "Optimal" microstructures 09:49 Truss lattices are not stiffness optimal 10:45 Back to the origins: homogenisation-based TO 11:55 Homogenisation-based MATLAB code 13:41 Rectangular hole 14:50 Naive de-homogenisation 15:32 Two-scale approaches 17:53 Connectivity challenges 19:37 Systematic approaches for de-homogenisation 20:05 Projection-based de-homogenisation 24:17 Comparison with density-based optimisation 25:48 Multiple load cases 27:10 3D de-homogenisation 27:43 Machine learning de-homogenisation 30:09 Phasor-based de-homogenisation 32:00 Phasor-based results in 2D and 3D 32:11 Phasor-based MATLAB code 32:57 Thermal cloaking by de-homogenisation 34:04 Thermo-fluidic de-homogenisation 34:30 Motivation for microstructures 37:10 Improved buckling resistance 39:05 Buckling stability constraints 41:59 Local buckling of microstructures 44:39 De-homogenisation with complex microstructures 45:29 Buckling for triangular infill 46:32 Global versus multiscale buckling optimisation 48:18 Buckling de-homogenisation 49:23 Combining buckling and yielding 51:43 Material dependent optimised designs 52:12 Open problems 53:35 Conclusions and recommendations 55:05 Further reading 55:25 Question session 1:15:06 Thank you and rounding off