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| Stress intensity factors calculation in anti-plane fracture problem by orthogonal integral extraction method based on femol | |
Xu YJ(徐永君) ; Yuan S(袁驷); Xu, YJ (reprint author), Chinese Acad Sci, Inst Mech, Beijing 100080, Peoples R China.
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| Source Publication | Acta Mechanica Solida Sinica
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| 2007 | |
| Volume | 20Issue:1Pages:87-94 |
| ISSN | 0894-9166 |
| Abstract | For an anti-plane problem, the differential operator is self-adjoint and the corresponding eigenfunctions belong to the Hilbert space. The orthogonal property between eigenfunctions (or between the derivatives of eigenfunctions) of anti-plane problem is exploited. We developed for the first time two sets of radius-independent orthogonal integrals for extraction of stress intensity factors (SIFs), so any order SIF can be extracted based on a certain known solution of displacement (an analytic result or a numerical result). Many numerical examples based on the finite element method of lines (FEMOL) show that the present method is very powerful and efficient. |
| Keyword | Anti-plane Problem Hilbert Space Eigenvalue Eigenfunction Orthogonal Relationship Stress Intensity Factor Finite Element Method Of Lines Complete Eigen-solutions Boundary-value Odes Collocation Software Multi-materials Computation Notches |
| DOI | 10.1007/s10338-007-0710-4 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000246860500010 |
| WOS Keyword | COMPLETE EIGEN-SOLUTIONS ; BOUNDARY-VALUE ODES ; COLLOCATION SOFTWARE ; MULTI-MATERIALS ; COMPUTATION ; NOTCHES |
| WOS Research Area | Materials Science ; Mechanics |
| WOS Subject | Materials Science, Multidisciplinary ; Mechanics |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/33983 |
| Collection | 力学所知识产出(1956-2008) |
| Corresponding Author | Xu, YJ (reprint author), Chinese Acad Sci, Inst Mech, Beijing 100080, Peoples R China. |
| Recommended Citation GB/T 7714 | Xu YJ,Yuan S,Xu, YJ . Stress intensity factors calculation in anti-plane fracture problem by orthogonal integral extraction method based on femol[J]. Acta Mechanica Solida Sinica,2007,20,1,:87-94. |
| APA | 徐永君,袁驷,&Xu, YJ .(2007).Stress intensity factors calculation in anti-plane fracture problem by orthogonal integral extraction method based on femol.Acta Mechanica Solida Sinica,20(1),87-94. |
| MLA | 徐永君,et al."Stress intensity factors calculation in anti-plane fracture problem by orthogonal integral extraction method based on femol".Acta Mechanica Solida Sinica 20.1(2007):87-94. |
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