Systematic Design of Compliant Morphing Structures: A Phase-Field Approach
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1.
McMaster University
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2.
California Institute of Technology
Abstract
We investigate the systematic design of compliant morphing structures composed of materials reacting to an external stimulus. We add a perimeter penalty term to ensure existence of solutions. We propose a phase-field approximation of this sharp interface problem, prove its convergence as the regularization length approaches 0 and present an efficient numerical implementation. We illustrate the strengths of our approach through a series of numerical examples.
Copyright and License
© 2025 Springer Nature.
Funding
Support for this work was provided in part by the grant “Collaborative Research: Optimal Design of Responsive Materials and Structures” from the U.S. National Science Foundation (DMS:2009303 at Louisiana State University and McMaster University and DMS:2009289 at Caltech). BB also acknowledges the support of the Natural Sciences and Engineering Research Council of Canada (NSERC), RGPIN-2022-04536 and the Canada Research Chair program.
Contributions
All authors contributed to the study and manuscript preparation. All authors read and approved the final manuscript.
Data Availability
Data files and computation results for Figs. 1, 2, 3, 4, 5, 6, 7 and 8 are hosted by the Federated Research Data Repository (FRDR) of the Digital Research Alliance of Canada at https://doi.org/10.20383/103.01009.
Code Availability
The code used in this article is available under an open source license at https://doi.org/10.5281/zenodo.12746321.
Additional details
- National Science Foundation
- DMS-2009303
- National Science Foundation
- DMS-2009289
- Natural Sciences and Engineering Research Council
- RGPIN-2022-04536
- Canada Research Chairs
- Accepted
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2025-02-04
- Available
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2025-02-24Published
- Caltech groups
- Division of Engineering and Applied Science (EAS)
- Publication Status
- Published