On the effect of an out-of-plane constraint on the three-dimensional crack front fields in a thin elastic plate
文献类型：期刊论文
| 作者 | Yi DK(易大可)2; Wang ZQ(王自强)1
|
| 刊名 | ACTA MECHANICA
 |
| 出版日期 | 2020-04-29 |
| 页码 | 19 |
| ISSN号 | 0001-5970 |
| DOI | 10.1007/s00707-020-02679-7 |
| 英文摘要 | Two-dimensional theories of fracture are still applied widely today and provide theoretical foundations for solutions to many practical problems. These two-dimensional theories are based on the plane strain or plane stress assumption. However, strictly speaking, for a thin elastic plate with a through-thickness crack under tension, plane strain conditions can be met only at the crack front (except the corn point) and plane stress conditions exist at a distance of about one half of the plate thickness from the crack front in the mid-plane. What are the stress fields in the region where both plane strain and plane stress conditions cannot be met? In this paper, further investigations into the problem are carried out. Three-dimensional Maxwell stress functions, the principle of minimum complementary potential energy and three-dimensional J-integrals are employed to obtain an analytical solution to depict the relationship among out-of-plane constraints, three-dimensional J-integrals and stress intensity factors. Three-dimensional finite element simulations with fine meshes are carried out to verify the analytical results. Compared with the corresponding plane strain solution, the solution proposed is valid in a larger region. |
| 分类号 | Q3 |
| WOS关键词 | STRESS ; FRACTURE ; VERTEX ; SHEAR |
| WOS研究方向 | Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:000529580700001 |
| 其他责任者 | Yi, D. K. |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/84789]  |
| 专题 | 力学研究所_非线性力学国家重点实验室 |
| 作者单位 | 1.Chinese Acad Sci, Inst Mech, LNM, Beijing, Peoples R China 2.Hohai Univ, Coll Mech & Mat, Nanjing, Peoples R China; |
| 推荐引用方式 GB/T 7714 | Yi DK,Wang ZQ. On the effect of an out-of-plane constraint on the three-dimensional crack front fields in a thin elastic plate[J]. ACTA MECHANICA,2020:19. |
| APA | 易大可,&王自强.(2020).On the effect of an out-of-plane constraint on the three-dimensional crack front fields in a thin elastic plate.ACTA MECHANICA,19. |
| MLA | 易大可,et al."On the effect of an out-of-plane constraint on the three-dimensional crack front fields in a thin elastic plate".ACTA MECHANICA (2020):19. |
入库方式： OAI收割
来源：力学研究所
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