Systematic design of compliant morphing structures: a phase-field approach
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915012701847552 |
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| author | Shabani, Jamal Bhattacharya, Kaushik Bourdin, Blaise |
| author_facet | Shabani, Jamal Bhattacharya, Kaushik Bourdin, Blaise |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_06289 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Systematic design of compliant morphing structures: a phase-field approach Shabani, Jamal Bhattacharya, Kaushik Bourdin, Blaise Numerical Analysis Optimization and Control 74P10, 74P15, 49N45 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. |
| title | Systematic design of compliant morphing structures: a phase-field approach |
| topic | Numerical Analysis Optimization and Control 74P10, 74P15, 49N45 |
| url | https://arxiv.org/abs/2411.06289 |