NONSMOOTH MODEL FOR PLASTIC LIMIT ANALYSIS AND ITS SMOOTHING ALGORITHM
By means of Lagrange duality of Hill＇s maximum plastic work principle theory of the convex program, a dual problem under Mises＇ yield condition has been derived and whereby a non-differentiable convex optimization model for the limit analysis is developed. With this model, it is not necessary to lin...
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| Veröffentlicht in: | Applied mathematics and mechanics 2006-08, Vol.27 (8), p.1081-1088 |
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| container_title | Applied mathematics and mechanics |
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| creator | 李建宇 潘少华 李兴斯 |
| description | By means of Lagrange duality of Hill＇s maximum plastic work principle theory of the convex program, a dual problem under Mises＇ yield condition has been derived and whereby a non-differentiable convex optimization model for the limit analysis is developed. With this model, it is not necessary to linearize the yield condition and its discrete form becomes a minimization problem of the sum of Euclidean norms subject to linear constraints. Aimed at resolving the non-differentiability of Euclidean norms, a smoothing algorithm for the limit analysis of perfect-plastic continuum media is proposed. Its efficiency is demonstrated by computing the limit load factor and the collapse state for some plane stress and plain strain problems. |
| doi_str_mv | 10.1007/s10483-006-0808-z |
| format | Article |
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With this model, it is not necessary to linearize the yield condition and its discrete form becomes a minimization problem of the sum of Euclidean norms subject to linear constraints. Aimed at resolving the non-differentiability of Euclidean norms, a smoothing algorithm for the limit analysis of perfect-plastic continuum media is proposed. 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With this model, it is not necessary to linearize the yield condition and its discrete form becomes a minimization problem of the sum of Euclidean norms subject to linear constraints. Aimed at resolving the non-differentiability of Euclidean norms, a smoothing algorithm for the limit analysis of perfect-plastic continuum media is proposed. Its efficiency is demonstrated by computing the limit load factor and the collapse state for some plane stress and plain strain problems.</description><subject>Algorithms</subject><subject>Continuums</subject><subject>Limit load</subject><subject>Mathematical models</subject><subject>Norms</subject><subject>Optimization</subject><subject>Smoothing</subject><subject>Strain</subject><subject>塑料有限分析</subject><subject>对偶性</subject><subject>平滑法</subject><subject>非光滑优化</subject><issn>0253-4827</issn><issn>1573-2754</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2006</creationdate><recordtype>article</recordtype><recordid>eNotkMtOwkAUhidGExF9AHeNGxOT6plLO8OyQS5NCjW0LlxNpmXKxdJCByLw9A4pq3MW3_-fkw-hZwzvGIB_GAxMUBfAd0GAcM83qIM9Tl3CPXaLOkA86jJB-D16MGYNAIwz1kHDaTxNJnGcjp1J_DmInGE8c76iIEnDvhOFkzB1gmkQ_SRhYpdPJ0wTp-XD6cgJolE8C9Px5BHdFao0-uk6u-h7OEj7YzeKR2E_iNyc0t7e9RTnfA5e5mdz5QsColAq8yDzesq-r-k8y0nBepj1VIF9xSijxMdYM8Y09wvaRW9t75-qClUt5Lo-NJW9KE8nc1yWR6mJdWAVgLDwawtvm3p30GYvNyuT67JUla4PRgpCPCyEoJbELZk3tTGNLuS2WW1Uc5IY5MWvbP1K2y0vfuXZZl6umWVdLXYr-0ym8t9iVWppi4EKn9N_J8pyKg</recordid><startdate>20060801</startdate><enddate>20060801</enddate><creator>李建宇 潘少华 李兴斯</creator><general>State Key Laboratory of Structural Analysis for Industrial Equipment,Dalian University of Technology,Dalian 116023,P.R.China%Department of Applied Mathematics,South China University of Technology,Guangzhou 510641,P.R.China</general><scope>2RA</scope><scope>92L</scope><scope>CQIGP</scope><scope>~WA</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>2B.</scope><scope>4A8</scope><scope>92I</scope><scope>93N</scope><scope>PSX</scope><scope>TCJ</scope></search><sort><creationdate>20060801</creationdate><title>NONSMOOTH MODEL FOR PLASTIC LIMIT ANALYSIS AND ITS SMOOTHING ALGORITHM</title><author>李建宇 潘少华 李兴斯</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c339t-5a777d05b6bda68208faab50b59a483e3dbc2f49149af16a43432611e444e76f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2006</creationdate><topic>Algorithms</topic><topic>Continuums</topic><topic>Limit load</topic><topic>Mathematical models</topic><topic>Norms</topic><topic>Optimization</topic><topic>Smoothing</topic><topic>Strain</topic><topic>塑料有限分析</topic><topic>对偶性</topic><topic>平滑法</topic><topic>非光滑优化</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>李建宇 潘少华 李兴斯</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- 镜像站点</collection><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Wanfang Data Journals - Hong Kong</collection><collection>WANFANG Data Centre</collection><collection>Wanfang Data Journals</collection><collection>万方数据期刊 - 香港版</collection><collection>China Online Journals (COJ)</collection><collection>China Online Journals (COJ)</collection><jtitle>Applied mathematics and mechanics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>李建宇 潘少华 李兴斯</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>NONSMOOTH MODEL FOR PLASTIC LIMIT ANALYSIS AND ITS SMOOTHING ALGORITHM</atitle><jtitle>Applied mathematics and mechanics</jtitle><addtitle>Applied Mathematics and Mechanics(English Edition)</addtitle><date>2006-08-01</date><risdate>2006</risdate><volume>27</volume><issue>8</issue><spage>1081</spage><epage>1088</epage><pages>1081-1088</pages><issn>0253-4827</issn><eissn>1573-2754</eissn><abstract>By means of Lagrange duality of Hill＇s maximum plastic work principle theory of the convex program, a dual problem under Mises＇ yield condition has been derived and whereby a non-differentiable convex optimization model for the limit analysis is developed. 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| identifier | ISSN: 0253-4827 |
| ispartof | Applied mathematics and mechanics, 2006-08, Vol.27 (8), p.1081-1088 |
| issn | 0253-4827 1573-2754 |
| language | eng |
| recordid | cdi_wanfang_journals_yysxhlx_e200608008 |
| source | Alma/SFX Local Collection; SpringerLink Journals - AutoHoldings |
| subjects | Algorithms Continuums Limit load Mathematical models Norms Optimization Smoothing Strain 塑料有限分析 对偶性 平滑法 非光滑优化 |
| title | NONSMOOTH MODEL FOR PLASTIC LIMIT ANALYSIS AND ITS SMOOTHING ALGORITHM |
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