A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation
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arXiv
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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909724104982528 |
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| author | Xie, Yuxi Wu, C. T. Hu, Wei Xu, Lu Bui, Tinh Q. Li, Shaofan |
| author_facet | Xie, Yuxi Wu, C. T. Hu, Wei Xu, Lu Bui, Tinh Q. Li, Shaofan |
| contents | This work presents a novel three-dimensional Crack Element Method (CEM) designed to model transient dynamic crack propagation in quasi-brittle materials efficiently. CEM introduces an advanced element-splitting algorithm that enables element-wise crack growth, including crack branching. Based on the evolving topology of split elements, an original formulation for computing the fracture energy release rate in three dimensions is derived. A series of benchmark examples is conducted to demonstrate that the proposed 3D CEM accurately simulates both single crack propagation and complex crack branching scenarios. Furthermore, all three-dimensional simulations are GPU-accelerated, achieving high levels of computational efficiency, consistency, and accuracy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_04076 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation Xie, Yuxi Wu, C. T. Hu, Wei Xu, Lu Bui, Tinh Q. Li, Shaofan Computational Engineering, Finance, and Science This work presents a novel three-dimensional Crack Element Method (CEM) designed to model transient dynamic crack propagation in quasi-brittle materials efficiently. CEM introduces an advanced element-splitting algorithm that enables element-wise crack growth, including crack branching. Based on the evolving topology of split elements, an original formulation for computing the fracture energy release rate in three dimensions is derived. A series of benchmark examples is conducted to demonstrate that the proposed 3D CEM accurately simulates both single crack propagation and complex crack branching scenarios. Furthermore, all three-dimensional simulations are GPU-accelerated, achieving high levels of computational efficiency, consistency, and accuracy. |
| title | A GPU-Accelerated Three-Dimensional Crack Element Method for Transient Dynamic Fracture Simulation |
| topic | Computational Engineering, Finance, and Science |
| url | https://arxiv.org/abs/2508.04076 |