An efficient explicit-implicit adaptive method for peridynamic modeling of quasi-static fracture formation and evolution
文献类型：期刊论文
| 作者 | Hu SW(胡世威); Xiao TB(肖天白); Han MS(韩明硕); Li ZX(李作旭); Oterkus, Erkan; Oterkus, Selda; Zhang YH(张勇豪) |
| 刊名 | ENGINEERING FRACTURE MECHANICS
 |
| 出版日期 | 2025-05-13 |
| 卷号 | 320页码:23 |
| 关键词 | Peridynamics Quasi-static fracture mechanics Computational mechanics Implicit method Explicit ADR |
| ISSN号 | 0013-7944 |
| DOI | 10.1016/j.engfracmech.2025.111046 |
| 通讯作者 | Zhang, Yonghao(yonghao.zhang@imech.ac.cn) |
| 英文摘要 | Understanding the quasi-static fracture formation and evolution is essential for assessing the mechanical properties and structural load-bearing capacity of materials. Peridynamics (PD) provides an effective computational method to depict fracture mechanics. The explicit adaptive dynamic relaxation (ADR) method and the implicit methods are two mainstream PD approaches to simulate evolution of quasi-static fractures. However, no comprehensive and quantitative studies have been reported to compare their accuracy and efficiency. In this work, we first develop an implicit method for bond-based peridynamics (BBPD) based on the full nonlinear equilibrium equation and the degenerate form of the bond failure function, where the Jacobian matrices are derived using the Newton-Raphson (NR) scheme. Subsequently, we analyze the solvability of the implicit BBPD scheme. Second, a consistent and comprehensive comparison of accuracy and efficiency of the explicit ADR and implicit methods is conducted, which reveals computational efficiency of the implicit methods and their limitations in accurately describing crack formation. Finally, by utilizing the unique advantage of both methods, we develop an adaptive explicit-implicit method and propose a switching criterion to deploy appropriate scheme accordingly. Four typical quasi-static problems are employed as the numerical experiments, which show the acceleration ratios of the current method range from 6.4 to 141.7 when compared to the explicit ADR. Therefore, the explicit-implicit adaptive method provides a powerful method to simulate quasi-static fracture formation and evolution. |
| 分类号 | 一类 |
| WOS关键词 | DYNAMIC FRACTURE ; DEFORMATION ; PROPAGATION ; FORMULATION |
| 资助项目 | National Science Foundation of China[12302381] |
| WOS研究方向 | Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:001460613400001 |
| 资助机构 | National Science Foundation of China |
| 其他责任者 | 张勇豪 |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/100777]  |
| 专题 | 力学研究所_高温气体动力学国家重点实验室 |
| 推荐引用方式 GB/T 7714 | Hu SW,Xiao TB,Han MS,et al. An efficient explicit-implicit adaptive method for peridynamic modeling of quasi-static fracture formation and evolution[J]. ENGINEERING FRACTURE MECHANICS,2025,320:23. |
| APA | 胡世威.,肖天白.,韩明硕.,李作旭.,Oterkus, Erkan.,...&张勇豪.(2025).An efficient explicit-implicit adaptive method for peridynamic modeling of quasi-static fracture formation and evolution.ENGINEERING FRACTURE MECHANICS,320,23. |
| MLA | 胡世威,et al."An efficient explicit-implicit adaptive method for peridynamic modeling of quasi-static fracture formation and evolution".ENGINEERING FRACTURE MECHANICS 320(2025):23. |
入库方式： OAI收割
来源：力学研究所
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