| The effect of out-of-plane constraint on the stress fields near the front of a crack in a thin ductile plate | |
| Yi DK(易大可)1; Wang TC(王自强)2 | |
| Corresponding Author | Yi, D. K.([email protected]) |
| Source Publication | INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
 |
| 2020-05-01 | |
| Volume | 190Pages:244-257 |
| ISSN | 0020-7683 |
| Abstract | Classical plane solutions based on the elastic-plastic fracture mechanics are applied widely in practical engineering. These plane solutions follow the plane stress or plane strain assumption. However, in the case of a thin ductile plate with a through-thickness crack under tension, plane stress conditions exist at a distance of about one half of the plate thickness ahead of the crack front cross the thickness of the plate. What is the stress state in the region where both plane strain and plane stress conditions cannot be met? In the current paper, a semi-analytical method is presented to investigate the problem. Three dimensional Maxwell stress functions, the minimum complementary potential energy principle and three dimensional J-integrals are employed to obtain solutions for crack front fields in a thin ductile plate. Three-dimensional finite element (FE) analyses are carried out to verify the current solutions. FE results reveal that the out-of-plane constraint level T-z increases with increasing remote loading near the crack front. FE results also show that the in-plane stress fields near the crack front can be characterized by the current J-T-z solutions. Both FE and theoretical results illustrate that opening stresses decrease gradually to the corresponding plane stress HRR-field solutions with increasing radial distance r from the crack front in the mid-plane when remote loading is large enough. (C) 2019 Published by Elsevier Ltd. |
| Keyword | Elastic-plastic fracture mechanics Three-dimensional singularity field Out-of-plane constraint Three-dimensional FM simulation |
| DOI | 10.1016/j.ijsolstr.2019.10.008 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000517848700018 |
| WOS Keyword | POINT-WISE J ; TIP FIELDS ; FRACTURE ; THICKNESS ; SHEAR ; QUANTIFICATION ; INTERFACE ; SPECIMENS ; PARAMETER ; NOTCHES |
| WOS Research Area | Mechanics |
| WOS Subject | Mechanics |
| Classification | 一类/力学重要期刊 |
| Ranking | 2 |
| Contributor | Yi, D. K. |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/81638 |
| Collection | 非线性力学国家重点实验室 |
| Affiliation | 1.Hohai Univ, Coll Mech & Mat, Nanjing, Peoples R China; 2.Chinese Acad Sci, Inst Mech, LNM, Beijing, Peoples R China |
| Recommended Citation GB/T 7714 | Yi DK,Wang TC. The effect of out-of-plane constraint on the stress fields near the front of a crack in a thin ductile plate[J]. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES,2020,190:244-257.Rp_Au:Yi, D. K. |
| APA | 易大可,&Wang TC.(2020).The effect of out-of-plane constraint on the stress fields near the front of a crack in a thin ductile plate.INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES,190,244-257. |
| MLA | 易大可,et al."The effect of out-of-plane constraint on the stress fields near the front of a crack in a thin ductile plate".INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES 190(2020):244-257. |
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| Jp2020024A.pdf（1388KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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