Linear Integral Analysis of Bar Rough Rolling by Strain Rate Vector
A new linear integral method for bar hot rolling on roughing train was obtained. First, for plastic deformation energy rate, equivalent strain rate about Kobayashi＇s three-dimensional velocity field was expressed by two-dimensional strain rate vector; then, the two-dimensional strain rate vector was...
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| Veröffentlicht in: | Journal of iron and steel research, international international, 2010-03, Vol.17 (3), p.28-33 |
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| container_title | Journal of iron and steel research, international |
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| creator | DENG, Wei ZHAO, De-wen QIN, Xiao-mei GAO, Xiu-hua DU, Lin-xiu LIU, Xiang-hua |
| description | A new linear integral method for bar hot rolling on roughing train was obtained. First, for plastic deformation energy rate, equivalent strain rate about Kobayashi＇s three-dimensional velocity field was expressed by two-dimensional strain rate vector; then, the two-dimensional strain rate vector was inverted into inner product and was integrated term by term. During those processes, boundary equation and mean value theorem were introduced; for friction and shear energy dissipation rate, definite integral was applied to the solution process. Sequentially, the total upper bound power was minimized, and the analytical expressions of rolling torque, separating force, and stress state factor were obtained. The calculated results by these expressions were compared with those of experimental values. The results show that the new linear integral method is available for bar rough rolling analysis and the calculated results by this method are a little higher than those of experimental ones. However, the maximum error between them is less than 10%. |
| doi_str_mv | 10.1016/S1006-706X(10)60068-4 |
| format | Article |
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First, for plastic deformation energy rate, equivalent strain rate about Kobayashi＇s three-dimensional velocity field was expressed by two-dimensional strain rate vector; then, the two-dimensional strain rate vector was inverted into inner product and was integrated term by term. During those processes, boundary equation and mean value theorem were introduced; for friction and shear energy dissipation rate, definite integral was applied to the solution process. Sequentially, the total upper bound power was minimized, and the analytical expressions of rolling torque, separating force, and stress state factor were obtained. The calculated results by these expressions were compared with those of experimental values. The results show that the new linear integral method is available for bar rough rolling analysis and the calculated results by this method are a little higher than those of experimental ones. However, the maximum error between them is less than 10%.</description><identifier>ISSN: 1006-706X</identifier><identifier>EISSN: 2210-3988</identifier><identifier>DOI: 10.1016/S1006-706X(10)60068-4</identifier><language>eng</language><publisher>Singapore: Elsevier Ltd</publisher><subject>Applied and Technical Physics ; bar rough rolling ; Engineering ; Hot rolling ; Integrals ; Iron and steel industry ; linear integration ; Machines ; Manufacturing ; Materials Engineering ; Materials Science ; Mathematical analysis ; Metallic Materials ; Physical Chemistry ; Processes ; roll separating force ; Steels ; Strain rate ; strain rate vector ; Two dimensional ; Vectors (mathematics) ; 应变速率 ; 矢量分析 ; 积分方法 ; 解析表达式 ; 计算结果</subject><ispartof>Journal of iron and steel research, international, 2010-03, Vol.17 (3), p.28-33</ispartof><rights>2010 Central Iron and Steel Research Institute</rights><rights>China Iron and Steel Research Institute Group 2010</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c415t-8caed666d271111473458d930bdf5df83367bc3b00b5845182ae3033b53be2c3</citedby><cites>FETCH-LOGICAL-c415t-8caed666d271111473458d930bdf5df83367bc3b00b5845182ae3033b53be2c3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Uhttp://image.cqvip.com/vip1000/qk/86787X/86787X.jpg</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1016/S1006-706X(10)60068-4$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S1006706X10600684$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3537,27901,27902,41464,42533,51294,65306</link.rule.ids></links><search><creatorcontrib>DENG, Wei</creatorcontrib><creatorcontrib>ZHAO, De-wen</creatorcontrib><creatorcontrib>QIN, Xiao-mei</creatorcontrib><creatorcontrib>GAO, Xiu-hua</creatorcontrib><creatorcontrib>DU, Lin-xiu</creatorcontrib><creatorcontrib>LIU, Xiang-hua</creatorcontrib><title>Linear Integral Analysis of Bar Rough Rolling by Strain Rate Vector</title><title>Journal of iron and steel research, international</title><addtitle>J. Iron Steel Res. Int</addtitle><addtitle>Journal of Iron and Steel Research</addtitle><description>A new linear integral method for bar hot rolling on roughing train was obtained. First, for plastic deformation energy rate, equivalent strain rate about Kobayashi＇s three-dimensional velocity field was expressed by two-dimensional strain rate vector; then, the two-dimensional strain rate vector was inverted into inner product and was integrated term by term. During those processes, boundary equation and mean value theorem were introduced; for friction and shear energy dissipation rate, definite integral was applied to the solution process. Sequentially, the total upper bound power was minimized, and the analytical expressions of rolling torque, separating force, and stress state factor were obtained. The calculated results by these expressions were compared with those of experimental values. The results show that the new linear integral method is available for bar rough rolling analysis and the calculated results by this method are a little higher than those of experimental ones. However, the maximum error between them is less than 10%.</description><subject>Applied and Technical Physics</subject><subject>bar rough rolling</subject><subject>Engineering</subject><subject>Hot rolling</subject><subject>Integrals</subject><subject>Iron and steel industry</subject><subject>linear integration</subject><subject>Machines</subject><subject>Manufacturing</subject><subject>Materials Engineering</subject><subject>Materials Science</subject><subject>Mathematical analysis</subject><subject>Metallic Materials</subject><subject>Physical Chemistry</subject><subject>Processes</subject><subject>roll separating force</subject><subject>Steels</subject><subject>Strain rate</subject><subject>strain rate vector</subject><subject>Two dimensional</subject><subject>Vectors (mathematics)</subject><subject>应变速率</subject><subject>矢量分析</subject><subject>积分方法</subject><subject>解析表达式</subject><subject>计算结果</subject><issn>1006-706X</issn><issn>2210-3988</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2010</creationdate><recordtype>article</recordtype><recordid>eNqFkE9PwyAYh4nRxEX3EUwaL-qhCqVl7GTm4p8lS0y2xXgjlL7tmB1s0Jrs20u3xeveAwT4PS_wIHRD8CPBhD3NCcYsHmD2fU_wAwsLHqdnqJckBMd0yPk56v1HLlHf-xXuashowntoPNUGpIsmpoHKyToaGVnvvPaRLaOXcDCzbbUMY11rU0X5Lpo3TmoTzWQD0ReoxrprdFHK2kP_OF-hxdvrYvwRTz_fJ-PRNFYpyZqYKwkFY6xIBiRUOqBpxoshxXlRZkXJKWWDXNEc4zzjaUZ4IoFiSvOM5pAoeoXuDm03zm5b8I1Ya6-grqUB23rBWUo5w2QYktkhqZz13kEpNk6vpdsJgkVnTeytiU5Jt7W3JtLAsQPnQ95U4MTKti4I8SfB5wMI4fu_OoBeaTAKCu2CIlFYfbLD7fHJS2uqbbhd5FL9lLoGQWnSCcvoHwN-jkk</recordid><startdate>20100301</startdate><enddate>20100301</enddate><creator>DENG, Wei</creator><creator>ZHAO, De-wen</creator><creator>QIN, Xiao-mei</creator><creator>GAO, Xiu-hua</creator><creator>DU, Lin-xiu</creator><creator>LIU, Xiang-hua</creator><general>Elsevier Ltd</general><general>Springer Singapore</general><scope>2RA</scope><scope>92L</scope><scope>CQIGP</scope><scope>W92</scope><scope>~WA</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8BQ</scope><scope>8FD</scope><scope>JG9</scope></search><sort><creationdate>20100301</creationdate><title>Linear Integral Analysis of Bar Rough Rolling by Strain Rate Vector</title><author>DENG, Wei ; ZHAO, De-wen ; QIN, Xiao-mei ; GAO, Xiu-hua ; DU, Lin-xiu ; LIU, Xiang-hua</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c415t-8caed666d271111473458d930bdf5df83367bc3b00b5845182ae3033b53be2c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2010</creationdate><topic>Applied and Technical Physics</topic><topic>bar rough rolling</topic><topic>Engineering</topic><topic>Hot rolling</topic><topic>Integrals</topic><topic>Iron and steel industry</topic><topic>linear integration</topic><topic>Machines</topic><topic>Manufacturing</topic><topic>Materials Engineering</topic><topic>Materials Science</topic><topic>Mathematical analysis</topic><topic>Metallic Materials</topic><topic>Physical Chemistry</topic><topic>Processes</topic><topic>roll separating force</topic><topic>Steels</topic><topic>Strain rate</topic><topic>strain rate vector</topic><topic>Two dimensional</topic><topic>Vectors (mathematics)</topic><topic>应变速率</topic><topic>矢量分析</topic><topic>积分方法</topic><topic>解析表达式</topic><topic>计算结果</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>DENG, Wei</creatorcontrib><creatorcontrib>ZHAO, De-wen</creatorcontrib><creatorcontrib>QIN, Xiao-mei</creatorcontrib><creatorcontrib>GAO, Xiu-hua</creatorcontrib><creatorcontrib>DU, Lin-xiu</creatorcontrib><creatorcontrib>LIU, Xiang-hua</creatorcontrib><collection>中文科技期刊数据库</collection><collection>中文科技期刊数据库-CALIS站点</collection><collection>中文科技期刊数据库-7.0平台</collection><collection>中文科技期刊数据库-工程技术</collection><collection>中文科技期刊数据库- 镜像站点</collection><collection>CrossRef</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Materials Research Database</collection><jtitle>Journal of iron and steel research, international</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>DENG, Wei</au><au>ZHAO, De-wen</au><au>QIN, Xiao-mei</au><au>GAO, Xiu-hua</au><au>DU, Lin-xiu</au><au>LIU, Xiang-hua</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Linear Integral Analysis of Bar Rough Rolling by Strain Rate Vector</atitle><jtitle>Journal of iron and steel research, international</jtitle><stitle>J. Iron Steel Res. Int</stitle><addtitle>Journal of Iron and Steel Research</addtitle><date>2010-03-01</date><risdate>2010</risdate><volume>17</volume><issue>3</issue><spage>28</spage><epage>33</epage><pages>28-33</pages><issn>1006-706X</issn><eissn>2210-3988</eissn><abstract>A new linear integral method for bar hot rolling on roughing train was obtained. First, for plastic deformation energy rate, equivalent strain rate about Kobayashi＇s three-dimensional velocity field was expressed by two-dimensional strain rate vector; then, the two-dimensional strain rate vector was inverted into inner product and was integrated term by term. During those processes, boundary equation and mean value theorem were introduced; for friction and shear energy dissipation rate, definite integral was applied to the solution process. Sequentially, the total upper bound power was minimized, and the analytical expressions of rolling torque, separating force, and stress state factor were obtained. The calculated results by these expressions were compared with those of experimental values. The results show that the new linear integral method is available for bar rough rolling analysis and the calculated results by this method are a little higher than those of experimental ones. However, the maximum error between them is less than 10%.</abstract><cop>Singapore</cop><pub>Elsevier Ltd</pub><doi>10.1016/S1006-706X(10)60068-4</doi><tpages>6</tpages></addata></record> |
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| source | Springer Nature - Complete Springer Journals; Elsevier ScienceDirect Journals; Alma/SFX Local Collection |
| subjects | Applied and Technical Physics bar rough rolling Engineering Hot rolling Integrals Iron and steel industry linear integration Machines Manufacturing Materials Engineering Materials Science Mathematical analysis Metallic Materials Physical Chemistry Processes roll separating force Steels Strain rate strain rate vector Two dimensional Vectors (mathematics) 应变速率 矢量分析 积分方法 解析表达式 计算结果 |
| title | Linear Integral Analysis of Bar Rough Rolling by Strain Rate Vector |
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