Topology optimisation for 3D topography control in membrane-substrate buckling
File(s)
Accepted version
Author(s)
ZHOU, Wei
Aveline, charlie
Hewson, robert
Santer, Matthew
Type
Journal Article
Abstract
Membrane-substrate buckling can generate diverse functional surface topographies. However, the nonlinear post-buckling response of membrane-substrate
systems is strongly path dependent and governed by competing equilibrium branches, which poses challenges for topography control under actuation. By considering the loading path in the optimisation problem, this work
proposes an enhanced density-based topology optimisation framework for three-dimensional post-buckling topography control. The framework optimises
the substrate topology to achieve the target buckled topographies under the prescribed loading histories. Both numerical and physical results demonstrate that optimised designs can generate prescribed three-dimensional buckling topographies, programme topography evolution along a loading path, and achieve path-independent final topographies under the prescribed simultaneous and sequential loading histories.
systems is strongly path dependent and governed by competing equilibrium branches, which poses challenges for topography control under actuation. By considering the loading path in the optimisation problem, this work
proposes an enhanced density-based topology optimisation framework for three-dimensional post-buckling topography control. The framework optimises
the substrate topology to achieve the target buckled topographies under the prescribed loading histories. Both numerical and physical results demonstrate that optimised designs can generate prescribed three-dimensional buckling topographies, programme topography evolution along a loading path, and achieve path-independent final topographies under the prescribed simultaneous and sequential loading histories.
Date Acceptance
2026-10-10
Citation
International Journal of Solids and Structures
ISSN
0020-7683
Publisher
Elsevier
Journal / Book Title
International Journal of Solids and Structures
Copyright Statement
Copyright This paper is embargoed until publication. Once published the author’s accepted manuscript will be made available under a CC-BY License in accordance with Imperial’s Research Publications Open Access policy (www.imperial.ac.uk/oa-policy).
License URL
Publication Status
Accepted