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| Higher-order analysis of crack tip fields in elastic power-law hardening materials | |
Xia L; Wang ZQ(王自强) ; Shih CF; XIA, L (reprint author), CHINESE ACAD SCI,INST MECH,LNM,BEIJING 100080,PEOPLES R CHINA.
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| Source Publication | Journal of The Mechanics and Physics of Solids
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| 1993 | |
| Volume | 41Issue:4Pages:665-687 |
| ISSN | 0022-5096 |
| Abstract | A HIGHER-ORDER asymptotic analysis of a stationary crack in an elastic power-law hardening material has been carried out for plane strain, Mode 1. The extent to which elasticity affects the near-tip fields is determined by the strain hardening exponent n. Five terms in the asymptotic series for the stresses have been derived for n = 3. However, only three amplitudes can be independently prescribed. These are K1, K2 and K5 corresponding to amplitudes of the first-, second- and fifth-order terms. Four terms in the asymptotic series have been obtained for n = 5, 7 and 10; in these cases, the independent amplitudes are K1, K2 and K4. It is found that appropriate choices of K2 and K4 can reproduce near-tip fields representative of a broad range of crack tip constraints in moderate and low hardening materials. Indeed, fields characterized by distinctly different stress triaxiality levels (established by finite element analysis) have been matched by the asymptotic series. The zone of dominance of the asymptotic series extends over distances of about 10 crack openings ahead of the crack tip encompassing length scales that are microstructurally significant. Furthermore, the higher-order terms collectively describe a spatially uniform hydrostatic stress field (of adjustable magnitude) ahead of the crack. Our results lend support to a suggestion that J and a measure of near-tip stress triaxiality can describe the full range of near-tip states. |
| Keyword | Plastic Materials Fracture Parameter Toughness Stress Terms |
| DOI | 10.1016/0022-5096(93)90022-8 |
| Indexed By | SCI |
| Language | 英语 |
| WOS ID | WOS:A1993KV21400003 |
| WOS Keyword | PLASTIC MATERIALS ; FRACTURE ; PARAMETER ; TOUGHNESS ; STRESS ; TERMS |
| WOS Research Area | Materials Science ; Mechanics ; Physics |
| WOS Subject | Materials Science, Multidisciplinary ; Mechanics ; Physics, Condensed Matter |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/39410 |
| Collection | 力学所知识产出(1956-2008) |
| Corresponding Author | XIA, L (reprint author), CHINESE ACAD SCI,INST MECH,LNM,BEIJING 100080,PEOPLES R CHINA. |
| Recommended Citation GB/T 7714 | Xia L,Wang ZQ,Shih CF,et al. Higher-order analysis of crack tip fields in elastic power-law hardening materials[J]. Journal of The Mechanics and Physics of Solids,1993,41,4,:665-687. |
| APA | Xia L,王自强,Shih CF,&XIA, L .(1993).Higher-order analysis of crack tip fields in elastic power-law hardening materials.Journal of The Mechanics and Physics of Solids,41(4),665-687. |
| MLA | Xia L,et al."Higher-order analysis of crack tip fields in elastic power-law hardening materials".Journal of The Mechanics and Physics of Solids 41.4(1993):665-687. |
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