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| Computation of stress intensity factors by the sub-region mixed finite element method of lines | |
Yuan S(袁驷); Xu YJ(徐永君) ; Williams FW; Yuan, S (reprint author), Tsing Hua Univ, Dept Civil Engn, Beijing 100084, Peoples R China.
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| Source Publication | Acta Mechanica Solida Sinica
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| 2007 | |
| Volume | 20Issue:2Pages:149-162 |
| ISSN | 0894-9166 |
| Abstract | Based on the sub-region generalized variational principle, a sub-region mixed version of the newly-developed semi-analytical 'finite element method of lines' (FEMOL) is proposed in this paper for accurate and efficient computation of stress intensity factors (SIFs) of two-dimensional notches/cracks. The circular regions surrounding notch/crack tips are taken as the complementary energy region in which a number of leading terms of singular solutions for stresses are used, with the sought SIFs being among the unknown coefficients. The rest of the arbitrary domain is taken as the potential energy region in which FEMOL is applied to obtain approximate displacements. A mixed system of ordinary differential equations (ODEs) and algebraic equations is derived via the sub-region generalized variational principle. A singularity removal technique that eliminates the stress parameters from the mixed equation system eventually yields a standard FEMOL ODE system, the solution of which is no longer singular and is simply and efficiently obtained using a standard general-purpose ODE solver. A number of numerical examples, including bi-material notches/cracks in anti-plane and plane elasticity, are given to show the generally excellent performance of the proposed method. |
| Keyword | Stress Intensity Factors Finite Element Method Of Lines Sub-region Generalized Variational Principle Ordinary Differential Equation Solver Complete Eigen-solutions Boundary-value Odes V-notched Plates Collocation Software Multi-materials |
| DOI | 10.1007/s10338-007-0718-9 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000248343800008 |
| WOS Keyword | COMPLETE EIGEN-SOLUTIONS ; BOUNDARY-VALUE ODES ; V-NOTCHED PLATES ; COLLOCATION SOFTWARE ; MULTI-MATERIALS |
| 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/311007/33965 |
| Collection | 力学所知识产出(1956-2008) |
| Corresponding Author | Yuan, S (reprint author), Tsing Hua Univ, Dept Civil Engn, Beijing 100084, Peoples R China. |
| Recommended Citation GB/T 7714 | Yuan S,Xu YJ,Williams FW,et al. Computation of stress intensity factors by the sub-region mixed finite element method of lines[J]. Acta Mechanica Solida Sinica,2007,20,2,:149-162. |
| APA | 袁驷,徐永君,Williams FW,&Yuan, S .(2007).Computation of stress intensity factors by the sub-region mixed finite element method of lines.Acta Mechanica Solida Sinica,20(2),149-162. |
| MLA | 袁驷,et al."Computation of stress intensity factors by the sub-region mixed finite element method of lines".Acta Mechanica Solida Sinica 20.2(2007):149-162. |
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