A unified variational framework for phase-field fracture and third-medium contact in finite deformation hyperelasticity
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866910055095336960 |
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| author | Kim, Jaemin Kim, Gukheon Yoon, Sungmin Lee, Dong-Hwa |
| author_facet | Kim, Jaemin Kim, Gukheon Yoon, Sungmin Lee, Dong-Hwa |
| contents | This paper presents a unified variational framework that integrates phase-field fracture (PFF) and third-medium contact (TMC) within finite deformation hyperelasticity. The key idea is that both crack and contact are treated through regularization: the sharp crack topology is regularized into a diffuse damage field, while the discrete contact interface is regularized by a compliant fictitious medium with auxiliary fields. This strategy eliminates the need for explicit contact detection or crack tracking algorithms. The framework is validated through two-dimensional three-point bending and three-dimensional Brazilian disk test simulations, demonstrating the interplay between contact-induced stress concentration and crack nucleation/propagation. In particular, the Brazilian disk simulation naturally reproduces secondary crushing-type fracture zones near the contact regions -- a phenomenon consistently observed in experiments yet inaccessible to simplified loading models. These results pave the way for predictive simulation of coupled contact-fracture phenomena without recourse to explicit interface tracking. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_15635 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A unified variational framework for phase-field fracture and third-medium contact in finite deformation hyperelasticity Kim, Jaemin Kim, Gukheon Yoon, Sungmin Lee, Dong-Hwa Computational Physics Materials Science This paper presents a unified variational framework that integrates phase-field fracture (PFF) and third-medium contact (TMC) within finite deformation hyperelasticity. The key idea is that both crack and contact are treated through regularization: the sharp crack topology is regularized into a diffuse damage field, while the discrete contact interface is regularized by a compliant fictitious medium with auxiliary fields. This strategy eliminates the need for explicit contact detection or crack tracking algorithms. The framework is validated through two-dimensional three-point bending and three-dimensional Brazilian disk test simulations, demonstrating the interplay between contact-induced stress concentration and crack nucleation/propagation. In particular, the Brazilian disk simulation naturally reproduces secondary crushing-type fracture zones near the contact regions -- a phenomenon consistently observed in experiments yet inaccessible to simplified loading models. These results pave the way for predictive simulation of coupled contact-fracture phenomena without recourse to explicit interface tracking. |
| title | A unified variational framework for phase-field fracture and third-medium contact in finite deformation hyperelasticity |
| topic | Computational Physics Materials Science |
| url | https://arxiv.org/abs/2603.15635 |