Analytic solutions to crack tip plastic zone under various loading conditions
Based on stress field equations and Hill yield criterion, the crack tip plastic zone is determined for orthotropic materials and isotropic materials under small-scale yielding condition. An analytical solution to calculating the crack tip plastic zone in plane stress states is presented. The shape a...
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| Veröffentlicht in: | European journal of mechanics, A, Solids A, Solids, 2010-07, Vol.29 (4), p.738-745 |
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| container_title | European journal of mechanics, A, Solids |
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| creator | Xin, Gao Hangong, Wang Xingwu, Kang Liangzhou, Jiang |
| description | Based on stress field equations and Hill yield criterion, the crack tip plastic zone is determined for orthotropic materials and isotropic materials under small-scale yielding condition. An analytical solution to calculating the crack tip plastic zone in plane stress states is presented. The shape and size of the plastic zone are analyzed under different loading conditions. The obtained results show that the crack tip plastic zones present “butterfly-like” shapes, and the elastic–plastic boundary is smooth. The size of the plastic zone for orthotropic composites is less at the crack tip for various loading conditions, compared with the case of isotropic materials. Crack inclination angle and loading conditions affect greatly the size and shape of crack tip plastic zone. The mode I crack has a crucial effect on the plastic zone for mixed mode case in plane stress state. The plastic zone for pure mode I crack and pure mode II crack have a symmetrical distribution to the initial crack plane. |
| doi_str_mv | 10.1016/j.euromechsol.2010.03.003 |
| format | Article |
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An analytical solution to calculating the crack tip plastic zone in plane stress states is presented. The shape and size of the plastic zone are analyzed under different loading conditions. The obtained results show that the crack tip plastic zones present “butterfly-like” shapes, and the elastic–plastic boundary is smooth. The size of the plastic zone for orthotropic composites is less at the crack tip for various loading conditions, compared with the case of isotropic materials. Crack inclination angle and loading conditions affect greatly the size and shape of crack tip plastic zone. The mode I crack has a crucial effect on the plastic zone for mixed mode case in plane stress state. The plastic zone for pure mode I crack and pure mode II crack have a symmetrical distribution to the initial crack plane.</description><identifier>ISSN: 0997-7538</identifier><identifier>EISSN: 1873-7285</identifier><identifier>DOI: 10.1016/j.euromechsol.2010.03.003</identifier><language>eng</language><publisher>Amsterdam: Elsevier Masson SAS</publisher><subject>Anisotropy ; Boundaries ; Crack tip ; Cracks ; Criteria ; Exact sciences and technology ; Exact solutions ; Fracture ; Fracture mechanics (crack, fatigue, damage...) ; Fundamental areas of phenomenology (including applications) ; Inclination angle ; Inelasticity (thermoplasticity, viscoplasticity...) ; Mathematical analysis ; Physics ; Plane stress ; Plastic zone ; Plastic zones ; Solid mechanics ; Structural and continuum mechanics</subject><ispartof>European journal of mechanics, A, Solids, 2010-07, Vol.29 (4), p.738-745</ispartof><rights>2010 Elsevier Masson SAS</rights><rights>2015 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c449t-63a22e232f59e69c7a171df49abd60e6243676ebb4728ac1310ce83a1bc8e3823</citedby><cites>FETCH-LOGICAL-c449t-63a22e232f59e69c7a171df49abd60e6243676ebb4728ac1310ce83a1bc8e3823</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.euromechsol.2010.03.003$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,777,781,3537,27905,27906,45976</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=22890457$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Xin, Gao</creatorcontrib><creatorcontrib>Hangong, Wang</creatorcontrib><creatorcontrib>Xingwu, Kang</creatorcontrib><creatorcontrib>Liangzhou, Jiang</creatorcontrib><title>Analytic solutions to crack tip plastic zone under various loading conditions</title><title>European journal of mechanics, A, Solids</title><description>Based on stress field equations and Hill yield criterion, the crack tip plastic zone is determined for orthotropic materials and isotropic materials under small-scale yielding condition. An analytical solution to calculating the crack tip plastic zone in plane stress states is presented. The shape and size of the plastic zone are analyzed under different loading conditions. The obtained results show that the crack tip plastic zones present “butterfly-like” shapes, and the elastic–plastic boundary is smooth. The size of the plastic zone for orthotropic composites is less at the crack tip for various loading conditions, compared with the case of isotropic materials. Crack inclination angle and loading conditions affect greatly the size and shape of crack tip plastic zone. The mode I crack has a crucial effect on the plastic zone for mixed mode case in plane stress state. 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An analytical solution to calculating the crack tip plastic zone in plane stress states is presented. The shape and size of the plastic zone are analyzed under different loading conditions. The obtained results show that the crack tip plastic zones present “butterfly-like” shapes, and the elastic–plastic boundary is smooth. The size of the plastic zone for orthotropic composites is less at the crack tip for various loading conditions, compared with the case of isotropic materials. Crack inclination angle and loading conditions affect greatly the size and shape of crack tip plastic zone. The mode I crack has a crucial effect on the plastic zone for mixed mode case in plane stress state. The plastic zone for pure mode I crack and pure mode II crack have a symmetrical distribution to the initial crack plane.</abstract><cop>Amsterdam</cop><pub>Elsevier Masson SAS</pub><doi>10.1016/j.euromechsol.2010.03.003</doi><tpages>8</tpages></addata></record> |
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| ispartof | European journal of mechanics, A, Solids, 2010-07, Vol.29 (4), p.738-745 |
| issn | 0997-7538 1873-7285 |
| language | eng |
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| source | Elsevier ScienceDirect Journals |
| subjects | Anisotropy Boundaries Crack tip Cracks Criteria Exact sciences and technology Exact solutions Fracture Fracture mechanics (crack, fatigue, damage...) Fundamental areas of phenomenology (including applications) Inclination angle Inelasticity (thermoplasticity, viscoplasticity...) Mathematical analysis Physics Plane stress Plastic zone Plastic zones Solid mechanics Structural and continuum mechanics |
| title | Analytic solutions to crack tip plastic zone under various loading conditions |
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