Application of Natural Element Method in Numerical Simulation of Crack Propagation
The properties of interpolation of nodal data, ease of imposing essential boundary conditions, and the computational efficiency are some of the most important advantages of natural element method based on the non-Sibsonian interpolation over other meshless methods based on the moving least squares a...
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| Veröffentlicht in: | Advances in Mechanical Engineering 2013, Vol.2013 (2013), p.1-6 |
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| creator | Gai, Shanshan Zhang, Dunfu Cheng, Gang Weidong, Wang |
| description | The properties of interpolation of nodal data, ease of imposing essential boundary conditions, and the computational efficiency are some of the most important advantages of natural element method based on the non-Sibsonian interpolation over other meshless methods based on the moving least squares approximants. Accurate imposition of essential boundary conditions is accomplished directly by constructing vector of the displacement field by using non-Sibsonian interpolation method, which is based on the Voronoi diagram and its dual Delaunay tessellation. The discrete control equations of natural element method are developed by utilizing the variational principle of elastic theory and combining the natural element method with the theory of the linear elastic fracture mechanics. Without the connectivity information of elements, the burdensome remeshing, which is used in finite element method, is avoided in the present natural element method. The analysis of crack propagation is simplified dramatically. The numerical examples reveal the advantages and effectiveness of the present method. |
| doi_str_mv | 10.1155/2013/206981 |
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Accurate imposition of essential boundary conditions is accomplished directly by constructing vector of the displacement field by using non-Sibsonian interpolation method, which is based on the Voronoi diagram and its dual Delaunay tessellation. The discrete control equations of natural element method are developed by utilizing the variational principle of elastic theory and combining the natural element method with the theory of the linear elastic fracture mechanics. Without the connectivity information of elements, the burdensome remeshing, which is used in finite element method, is avoided in the present natural element method. The analysis of crack propagation is simplified dramatically. The numerical examples reveal the advantages and effectiveness of the present method.</description><identifier>ISSN: 1687-8132</identifier><identifier>EISSN: 1687-8140</identifier><identifier>EISSN: 1687-8132</identifier><identifier>DOI: 10.1155/2013/206981</identifier><language>eng</language><publisher>Cairo, Egypt: Hindawi Puplishing Corporation</publisher><subject>Boundary conditions ; Civil engineering ; Crack propagation ; Electrical engineering ; Finite element analysis ; Fracture mechanics ; Methods ; Propagation ; Studies</subject><ispartof>Advances in Mechanical Engineering, 2013, Vol.2013 (2013), p.1-6</ispartof><rights>2013 Wang Weidong et al.</rights><rights>Copyright © 2013 Wang Weidong et al. Wang Weidong et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c486t-11d742d887cfe65152bcb299be5e4ae7c5873849a6b0d50c746f0341438b77c3</citedby><cites>FETCH-LOGICAL-c486t-11d742d887cfe65152bcb299be5e4ae7c5873849a6b0d50c746f0341438b77c3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://journals.sagepub.com/doi/pdf/10.1155/2013/206981$$EPDF$$P50$$Gsage$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://journals.sagepub.com/doi/10.1155/2013/206981$$EHTML$$P50$$Gsage$$Hfree_for_read</linktohtml><link.rule.ids>314,780,784,864,4024,21966,27853,27923,27924,27925,44945,45333</link.rule.ids></links><search><creatorcontrib>Gai, Shanshan</creatorcontrib><creatorcontrib>Zhang, Dunfu</creatorcontrib><creatorcontrib>Cheng, Gang</creatorcontrib><creatorcontrib>Weidong, Wang</creatorcontrib><title>Application of Natural Element Method in Numerical Simulation of Crack Propagation</title><title>Advances in Mechanical Engineering</title><description>The properties of interpolation of nodal data, ease of imposing essential boundary conditions, and the computational efficiency are some of the most important advantages of natural element method based on the non-Sibsonian interpolation over other meshless methods based on the moving least squares approximants. 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The numerical examples reveal the advantages and effectiveness of the present method.</description><subject>Boundary conditions</subject><subject>Civil engineering</subject><subject>Crack propagation</subject><subject>Electrical engineering</subject><subject>Finite element analysis</subject><subject>Fracture mechanics</subject><subject>Methods</subject><subject>Propagation</subject><subject>Studies</subject><issn>1687-8132</issn><issn>1687-8140</issn><issn>1687-8132</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><sourceid>AFRWT</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>DOA</sourceid><recordid>eNptkc1LwzAYh4soOOZOnoWAF0GqSfPZ4xhTB3OK7h6SNJ2dbVPT9uB_b7ZK8SCE5OXlyfOG_KLoEsE7hCi9TyDCYWOpQCfRBDHBY4EIPB1rnJxHs7YtNKSQwQCmk-ht3jRlYVRXuBq4HGxU13tVgmVpK1t34Nl2Hy4DRQ02fWV9IEvwXlR9Od5YeGU-wat3jdodmxfRWa7K1s5-z2m0fVhuF0_x-uVxtZivY0ME62KEMk6STAhucssoook2OklTbaklynJDBceCpIppmFFoOGE5xAQRLDTnBk-j1aDNnNrLxheV8t_SqUIeG87vpPJdYUorqTA2g5nGnBPCYaJEwkKpGQsLKhRc14Or8e6rt20n9673dXi9RCQRMPwvTwN1O1DGu7b1Nh-nIigPEchDBHKIINA3A92qnf3j-xe9GlAbbDZXo5dQEqLCPzdyi_4</recordid><startdate>2013</startdate><enddate>2013</enddate><creator>Gai, Shanshan</creator><creator>Zhang, Dunfu</creator><creator>Cheng, Gang</creator><creator>Weidong, Wang</creator><general>Hindawi Puplishing Corporation</general><general>SAGE Publications</general><general>Sage Publications Ltd</general><general>SAGE Publishing</general><scope>ADJCN</scope><scope>AHFXO</scope><scope>AFRWT</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FR3</scope><scope>H8D</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>L7M</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>DOA</scope></search><sort><creationdate>2013</creationdate><title>Application of Natural Element Method in Numerical Simulation of Crack Propagation</title><author>Gai, Shanshan ; 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| subjects | Boundary conditions Civil engineering Crack propagation Electrical engineering Finite element analysis Fracture mechanics Methods Propagation Studies |
| title | Application of Natural Element Method in Numerical Simulation of Crack Propagation |
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