Systematic design of compliant morphing structures: a phase-field approach
Numerical Analysis
2024-11-12 v1 Numerical Analysis
Optimization and Control
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.
Cite
@article{arxiv.2411.06289,
title = {Systematic design of compliant morphing structures: a phase-field approach},
author = {Jamal Shabani and Kaushik Bhattacharya and Blaise Bourdin},
journal= {arXiv preprint arXiv:2411.06289},
year = {2024}
}