Leiden University Scholarly Publications

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Singh, N. (2019)

Strategies for mechanical metamaterial design

Doctoral Thesis
On a structural level, the properties featured by a majority of mechanical metamaterials can be ascribed to the finite number of soft internal degrees-of freedom allowing for low-energy deformations. Ideally, these low-energy deformation modes can be represented through mechanisms consisting of movable rigid geometrical units. Conversely, these mechanisms also serve as an intuitive starting point to initiate and adapt the design of mechanical metamaterials to requirements. Traditional design methods mainly comprising trial and testing can only well handle simple design tasks, not to mention that the final designs can be periodic and non-generic. In order to solve complex design problems, computer algorithm based inverse strategies provide state-of-the-art solutions. One way in which they can be utilized is by framing the material design problem as an optimization problem, where we optimize the values of control parameters (design variables) - in order to...Show moreOn a structural level, the properties featured by a majority of mechanical metamaterials can be ascribed to the finite number of soft internal degrees-of freedom allowing for low-energy deformations. Ideally, these low-energy deformation modes can be represented through mechanisms consisting of movable rigid geometrical units. Conversely, these mechanisms also serve as an intuitive starting point to initiate and adapt the design of mechanical metamaterials to requirements. Traditional design methods mainly comprising trial and testing can only well handle simple design tasks, not to mention that the final designs can be periodic and non-generic. In order to solve complex design problems, computer algorithm based inverse strategies provide state-of-the-art solutions. One way in which they can be utilized is by framing the material design problem as an optimization problem, where we optimize the values of control parameters (design variables) - in order to meet the desired target response. In this thesis, we present novel inverse strategies to design 2D mechanical metamaterials, whose zero-energy deformations can be modeled by one degree-of-freedom mechanisms consisting of pin-jointed polygons. We demonstrate that by optimizing the characteristic trajectory of these mechanisms, one can design generic metamaterials that exhibit complex programmable mechanics, atypical zero-energy deformations and shape-transformable behavior.Show less
Mechanical Metamaterials
Programmable Metaterials
Mechanisms
Zero-Modes
Design Optimization
Evolutionary Computation
All authors
Singh, N.
Supervisor
Hecke, M.L. van
Committee
Dijkstra, M.; Overvelde, J.T.B.; Eliel, E.R.; Ruitendijk, J.M. van
Qualification
Doctor (dr.)
Awarding Institution
Leiden Institute of Physics (LION), Faculty of Science, Leiden University
Date
2019-04-10
Title of host publication
Casimir PhD Series
ISBN (print)
9789085933892

Publication Series

Name
2019-08

Funding

Sponsorship
This work is part of an industrial partnership programme (IPP) ‘Computational Sciences for Energy Research (CSER)’ started jointly in 2012 by the Shell Global Solutions International B.V., the Netherlands Organization for Scientific Research (NWO) and the Foundation for Fundamental Research on Matter (FOM).