Evolution of yield surface in the 2D and 3D stress spaces
Initial and subsequent yield surfaces for 6061 aluminum, determined by a method of automated yield stress probing, are presented in the 2D ( σ zz − σ θz ) and 3D ( σ θθ − σ zz − σ θz ) stress spaces. In the ( σ zz − σ θz ) space, yield surfaces at small pre-strains show the noses and unapparent cros...
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| Veröffentlicht in: | International journal of solids and structures 2011-03, Vol.48 (6), p.1054-1069 |
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| container_title | International journal of solids and structures |
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| creator | Sung, Shin-Jang Liu, Li-Wei Hong, Hong-Ki Wu, Han-Chin |
| description | Initial and subsequent yield surfaces for 6061 aluminum, determined by a method of automated yield stress probing, are presented in the 2D (
σ
zz
−
σ
θz
) and 3D (
σ
θθ
−
σ
zz
−
σ
θz
) stress spaces. In the (
σ
zz
−
σ
θz
) space, yield surfaces at small pre-strains show the noses and unapparent cross effect. At larger pre-strains, they become ellipses with positive cross effect. In the (
σ
θθ
−
σ
zz
−
σ
θz
) space, the initial yield surface is not well described by von Mises yield criterion due to material anisotropy. The yield surfaces of various torsional pre-strains show obvious rotation around the
σ
zz
axis but they do not rotate when subjected to axial pre-strains. Therefore, the rotation behavior of yield surface is pre-strain path dependent. The rotation of yield surfaces in the 3D space is the emphasis of the present paper. Coupled axial–torsional behavior subjected to torsion after axial pre-strain are also presented for the same material that is used to determine the yield surfaces. This information is useful for verification of constitutive models. |
| doi_str_mv | 10.1016/j.ijsolstr.2010.12.011 |
| format | Article |
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σ
zz
−
σ
θz
) and 3D (
σ
θθ
−
σ
zz
−
σ
θz
) stress spaces. In the (
σ
zz
−
σ
θz
) space, yield surfaces at small pre-strains show the noses and unapparent cross effect. At larger pre-strains, they become ellipses with positive cross effect. In the (
σ
θθ
−
σ
zz
−
σ
θz
) space, the initial yield surface is not well described by von Mises yield criterion due to material anisotropy. The yield surfaces of various torsional pre-strains show obvious rotation around the
σ
zz
axis but they do not rotate when subjected to axial pre-strains. Therefore, the rotation behavior of yield surface is pre-strain path dependent. The rotation of yield surfaces in the 3D space is the emphasis of the present paper. Coupled axial–torsional behavior subjected to torsion after axial pre-strain are also presented for the same material that is used to determine the yield surfaces. This information is useful for verification of constitutive models.</description><identifier>ISSN: 0020-7683</identifier><identifier>EISSN: 1879-2146</identifier><identifier>DOI: 10.1016/j.ijsolstr.2010.12.011</identifier><identifier>CODEN: IJSOAD</identifier><language>eng</language><publisher>Kidlington: Elsevier Ltd</publisher><subject>Aluminum ; Automated yield stress determination ; Axial–torsional-internal pressure experiment ; Evolution ; Exact sciences and technology ; Fundamental areas of phenomenology (including applications) ; Inelasticity (thermoplasticity, viscoplasticity...) ; Mathematical models ; Nose ; Physics ; Solid mechanics ; Stresses ; Structural and continuum mechanics ; Three dimensional ; Torsion ; Two dimensional ; Yield surface ; Yield surface rotation</subject><ispartof>International journal of solids and structures, 2011-03, Vol.48 (6), p.1054-1069</ispartof><rights>2010 Elsevier Ltd</rights><rights>2015 INIST-CNRS</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c488t-71d4f84d23019e8dfb660279dd0c9bf22f72f966bdb14a3e8602169e11ae1523</citedby><cites>FETCH-LOGICAL-c488t-71d4f84d23019e8dfb660279dd0c9bf22f72f966bdb14a3e8602169e11ae1523</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.ijsolstr.2010.12.011$$EHTML$$P50$$Gelsevier$$Hfree_for_read</linktohtml><link.rule.ids>314,780,784,3550,27924,27925,45995</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=23904605$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Sung, Shin-Jang</creatorcontrib><creatorcontrib>Liu, Li-Wei</creatorcontrib><creatorcontrib>Hong, Hong-Ki</creatorcontrib><creatorcontrib>Wu, Han-Chin</creatorcontrib><title>Evolution of yield surface in the 2D and 3D stress spaces</title><title>International journal of solids and structures</title><description>Initial and subsequent yield surfaces for 6061 aluminum, determined by a method of automated yield stress probing, are presented in the 2D (
σ
zz
−
σ
θz
) and 3D (
σ
θθ
−
σ
zz
−
σ
θz
) stress spaces. In the (
σ
zz
−
σ
θz
) space, yield surfaces at small pre-strains show the noses and unapparent cross effect. At larger pre-strains, they become ellipses with positive cross effect. In the (
σ
θθ
−
σ
zz
−
σ
θz
) space, the initial yield surface is not well described by von Mises yield criterion due to material anisotropy. The yield surfaces of various torsional pre-strains show obvious rotation around the
σ
zz
axis but they do not rotate when subjected to axial pre-strains. Therefore, the rotation behavior of yield surface is pre-strain path dependent. The rotation of yield surfaces in the 3D space is the emphasis of the present paper. Coupled axial–torsional behavior subjected to torsion after axial pre-strain are also presented for the same material that is used to determine the yield surfaces. This information is useful for verification of constitutive models.</description><subject>Aluminum</subject><subject>Automated yield stress determination</subject><subject>Axial–torsional-internal pressure experiment</subject><subject>Evolution</subject><subject>Exact sciences and technology</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Inelasticity (thermoplasticity, viscoplasticity...)</subject><subject>Mathematical models</subject><subject>Nose</subject><subject>Physics</subject><subject>Solid mechanics</subject><subject>Stresses</subject><subject>Structural and continuum mechanics</subject><subject>Three dimensional</subject><subject>Torsion</subject><subject>Two dimensional</subject><subject>Yield surface</subject><subject>Yield surface rotation</subject><issn>0020-7683</issn><issn>1879-2146</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNqFkE9LAzEQxYMoWKtfQXIRT1sn2TS7uSla_0DBS-8hTSaYsu7WzFbw25tS9eppYN5785gfY5cCZgKEvtnM0oaGjsY8k7BfyhkIccQmom1MJYXSx2wCIKFqdFufsjOiDQCo2sCEmcXn0O3GNPR8iPwrYRc47XJ0Hnnq-fiGXD5w1wdeP_BSgUSctkWlc3YSXUd48TOnbPW4WN0_V8vXp5f7u2XlVduOVSOCiq0KsgZhsA1xrTXIxoQA3qyjlLGR0Wi9DmuhXI1tUYU2KIRDMZf1lF0fzm7z8LFDGu17Io9d53ocdmRbrRQ0em6KUx-cPg9EGaPd5vTu8pcVYPek7Mb-krJ7UlZIW0iV4NVPhSPvuphd7xP9pWUBpTTMi-_24MPy7mfCbMkn7D2GlNGPNgzpv6pvIrKAoA</recordid><startdate>20110315</startdate><enddate>20110315</enddate><creator>Sung, Shin-Jang</creator><creator>Liu, Li-Wei</creator><creator>Hong, Hong-Ki</creator><creator>Wu, Han-Chin</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>6I.</scope><scope>AAFTH</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>7TB</scope><scope>8BQ</scope><scope>8FD</scope><scope>FR3</scope><scope>JG9</scope><scope>KR7</scope></search><sort><creationdate>20110315</creationdate><title>Evolution of yield surface in the 2D and 3D stress spaces</title><author>Sung, Shin-Jang ; Liu, Li-Wei ; Hong, Hong-Ki ; Wu, Han-Chin</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c488t-71d4f84d23019e8dfb660279dd0c9bf22f72f966bdb14a3e8602169e11ae1523</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Aluminum</topic><topic>Automated yield stress determination</topic><topic>Axial–torsional-internal pressure experiment</topic><topic>Evolution</topic><topic>Exact sciences and technology</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Inelasticity (thermoplasticity, viscoplasticity...)</topic><topic>Mathematical models</topic><topic>Nose</topic><topic>Physics</topic><topic>Solid mechanics</topic><topic>Stresses</topic><topic>Structural and continuum mechanics</topic><topic>Three dimensional</topic><topic>Torsion</topic><topic>Two dimensional</topic><topic>Yield surface</topic><topic>Yield surface rotation</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Sung, Shin-Jang</creatorcontrib><creatorcontrib>Liu, Li-Wei</creatorcontrib><creatorcontrib>Hong, Hong-Ki</creatorcontrib><creatorcontrib>Wu, Han-Chin</creatorcontrib><collection>ScienceDirect Open Access Titles</collection><collection>Elsevier:ScienceDirect:Open Access</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Materials Research Database</collection><collection>Civil Engineering Abstracts</collection><jtitle>International journal of solids and structures</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Sung, Shin-Jang</au><au>Liu, Li-Wei</au><au>Hong, Hong-Ki</au><au>Wu, Han-Chin</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Evolution of yield surface in the 2D and 3D stress spaces</atitle><jtitle>International journal of solids and structures</jtitle><date>2011-03-15</date><risdate>2011</risdate><volume>48</volume><issue>6</issue><spage>1054</spage><epage>1069</epage><pages>1054-1069</pages><issn>0020-7683</issn><eissn>1879-2146</eissn><coden>IJSOAD</coden><abstract>Initial and subsequent yield surfaces for 6061 aluminum, determined by a method of automated yield stress probing, are presented in the 2D (
σ
zz
−
σ
θz
) and 3D (
σ
θθ
−
σ
zz
−
σ
θz
) stress spaces. In the (
σ
zz
−
σ
θz
) space, yield surfaces at small pre-strains show the noses and unapparent cross effect. At larger pre-strains, they become ellipses with positive cross effect. In the (
σ
θθ
−
σ
zz
−
σ
θz
) space, the initial yield surface is not well described by von Mises yield criterion due to material anisotropy. The yield surfaces of various torsional pre-strains show obvious rotation around the
σ
zz
axis but they do not rotate when subjected to axial pre-strains. Therefore, the rotation behavior of yield surface is pre-strain path dependent. The rotation of yield surfaces in the 3D space is the emphasis of the present paper. Coupled axial–torsional behavior subjected to torsion after axial pre-strain are also presented for the same material that is used to determine the yield surfaces. This information is useful for verification of constitutive models.</abstract><cop>Kidlington</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.ijsolstr.2010.12.011</doi><tpages>16</tpages><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0020-7683 |
| ispartof | International journal of solids and structures, 2011-03, Vol.48 (6), p.1054-1069 |
| issn | 0020-7683 1879-2146 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_864407659 |
| source | Access via ScienceDirect (Elsevier); EZB-FREE-00999 freely available EZB journals |
| subjects | Aluminum Automated yield stress determination Axial–torsional-internal pressure experiment Evolution Exact sciences and technology Fundamental areas of phenomenology (including applications) Inelasticity (thermoplasticity, viscoplasticity...) Mathematical models Nose Physics Solid mechanics Stresses Structural and continuum mechanics Three dimensional Torsion Two dimensional Yield surface Yield surface rotation |
| title | Evolution of yield surface in the 2D and 3D stress spaces |
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