A new shape optimization approach for fracture propagation
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866912301376864256 |
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| author | Suchan, Tim Welker, Kathrin Wollner, Winnifried |
| author_facet | Suchan, Tim Welker, Kathrin Wollner, Winnifried |
| contents | Within this work, we present a novel approach to fracture simulations based on shape optimization techniques. Contrary to widely-used phase-field approaches in literature the proposed method does not require a specified 'length-scale' parameter defining the diffused interface region of the phase-field. We provide the formulation and discuss the used solution approach. We conclude with some numerical comparisons with well-established single-edge notch tension and shear tests. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_05502 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A new shape optimization approach for fracture propagation Suchan, Tim Welker, Kathrin Wollner, Winnifried Optimization and Control Within this work, we present a novel approach to fracture simulations based on shape optimization techniques. Contrary to widely-used phase-field approaches in literature the proposed method does not require a specified 'length-scale' parameter defining the diffused interface region of the phase-field. We provide the formulation and discuss the used solution approach. We conclude with some numerical comparisons with well-established single-edge notch tension and shear tests. |
| title | A new shape optimization approach for fracture propagation |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2210.05502 |