Modelling of fully grouted rock bolt based on enriched finite element method
Analysis of mechanical behaviour of rock mass reinforced by fully grouted rock bolt is introduced based on the enriched finite element method (EFEM). A solid element intersected by a rock bolt along any arbitrary direction is defined as ‘enriched’ element and it has additional degrees of freedom at...
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Veröffentlicht in: | International journal of rock mechanics and mining sciences (Oxford, England : 1997) England : 1997), 2011-02, Vol.48 (2), p.283-293 |
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container_title | International journal of rock mechanics and mining sciences (Oxford, England : 1997) |
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creator | Deb, Debasis Das, Kamal C. |
description | Analysis of mechanical behaviour of rock mass reinforced by fully grouted rock bolt is introduced based on the enriched finite element method (EFEM). A solid element intersected by a rock bolt along any arbitrary direction is defined as ‘enriched’ element and it has additional degrees of freedom at each node for estimating displacements and stresses in bolt rod. Numerical procedures of EFEM are developed to form enriched stiffness matrix using constitutive relations of rock mass, properties of bolt rod and grout material and orientation of the bolt. Decoupling of rock bolt and elasto-plastic behaviour of rock mass has been incorporated into the EFEM procedures. Released displacement of rock mass prior to bolt installation has also been considered in the procedures to provide realistic solution. The results of this method are verified with an analytical pull-out test model. In addition, a numerical example of a bolted tunnel is provided to demonstrate the efficacy of the proposed method for practical applications. |
doi_str_mv | 10.1016/j.ijrmms.2010.11.015 |
format | Article |
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A solid element intersected by a rock bolt along any arbitrary direction is defined as ‘enriched’ element and it has additional degrees of freedom at each node for estimating displacements and stresses in bolt rod. Numerical procedures of EFEM are developed to form enriched stiffness matrix using constitutive relations of rock mass, properties of bolt rod and grout material and orientation of the bolt. Decoupling of rock bolt and elasto-plastic behaviour of rock mass has been incorporated into the EFEM procedures. Released displacement of rock mass prior to bolt installation has also been considered in the procedures to provide realistic solution. The results of this method are verified with an analytical pull-out test model. In addition, a numerical example of a bolted tunnel is provided to demonstrate the efficacy of the proposed method for practical applications.</description><identifier>ISSN: 1365-1609</identifier><identifier>EISSN: 1873-4545</identifier><identifier>DOI: 10.1016/j.ijrmms.2010.11.015</identifier><language>eng</language><publisher>Oxford: Elsevier Ltd</publisher><subject>Applied sciences ; Bolting ; Bolts ; Buildings. Public works ; Computation methods. Tables. Charts ; Decoupling ; EFEM ; Enrichment ; Exact sciences and technology ; Geotechnics ; Grouted rock bolt ; Mathematical analysis ; Mathematical models ; Mohr–Coulomb yield criterion ; Released displacement ; Rock ; Rock (material) ; Rock bolts ; Stabilization. Consolidation ; Structural analysis. Stresses ; Supported tunnels ; Tunnels, galleries</subject><ispartof>International journal of rock mechanics and mining sciences (Oxford, England : 1997), 2011-02, Vol.48 (2), p.283-293</ispartof><rights>2010 Elsevier Ltd</rights><rights>2015 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-a424t-e1aa1c8846945fd56aa3c116a87a27d2f4689529d18c162db3765fb0039960613</citedby><cites>FETCH-LOGICAL-a424t-e1aa1c8846945fd56aa3c116a87a27d2f4689529d18c162db3765fb0039960613</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S1365160910002170$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3537,27901,27902,65306</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=23897722$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Deb, Debasis</creatorcontrib><creatorcontrib>Das, Kamal C.</creatorcontrib><title>Modelling of fully grouted rock bolt based on enriched finite element method</title><title>International journal of rock mechanics and mining sciences (Oxford, England : 1997)</title><description>Analysis of mechanical behaviour of rock mass reinforced by fully grouted rock bolt is introduced based on the enriched finite element method (EFEM). A solid element intersected by a rock bolt along any arbitrary direction is defined as ‘enriched’ element and it has additional degrees of freedom at each node for estimating displacements and stresses in bolt rod. Numerical procedures of EFEM are developed to form enriched stiffness matrix using constitutive relations of rock mass, properties of bolt rod and grout material and orientation of the bolt. Decoupling of rock bolt and elasto-plastic behaviour of rock mass has been incorporated into the EFEM procedures. Released displacement of rock mass prior to bolt installation has also been considered in the procedures to provide realistic solution. The results of this method are verified with an analytical pull-out test model. In addition, a numerical example of a bolted tunnel is provided to demonstrate the efficacy of the proposed method for practical applications.</description><subject>Applied sciences</subject><subject>Bolting</subject><subject>Bolts</subject><subject>Buildings. Public works</subject><subject>Computation methods. Tables. Charts</subject><subject>Decoupling</subject><subject>EFEM</subject><subject>Enrichment</subject><subject>Exact sciences and technology</subject><subject>Geotechnics</subject><subject>Grouted rock bolt</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Mohr–Coulomb yield criterion</subject><subject>Released displacement</subject><subject>Rock</subject><subject>Rock (material)</subject><subject>Rock bolts</subject><subject>Stabilization. Consolidation</subject><subject>Structural analysis. Stresses</subject><subject>Supported tunnels</subject><subject>Tunnels, galleries</subject><issn>1365-1609</issn><issn>1873-4545</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNp9kE1rGzEQhpeSQJyPf5CDLiW9rKPR6msvgRL6EXDpJTkLWRrFcndXqbQO5N9XxqZHnzQanpmXeZrmFugSKMj77TJu8ziWJaP7FiwpiE_NArTqWi64OKt1J0ULkvYXzWUpW0qpZFItmtWv5HEY4vRKUiBhNwwf5DWn3Yye5OT-kHUaZrK2pf7TRHDK0W1qHeIUZyQ44IjTTEacN8lfN-fBDgVvju9V8_L92_Pjz3b1-8fT49dVaznjc4tgLTituey5CF5IazsHIK1WlinPApe6F6z3oB1I5tedkiKsKe36XlIJ3VVzd9j7ltPfHZbZjLG4eoadMO2K0ULXIN6rSn45SYISnWAgtKgoP6Aup1IyBvOW42jzhwFq9prN1hw0m71mA2Cq5jr2-Zhgi7NDyHZysfyfZZ3ulWKscg8HDquY94jZFBdxcuhjRjcbn-LpoH_ugpOZ</recordid><startdate>20110201</startdate><enddate>20110201</enddate><creator>Deb, Debasis</creator><creator>Das, Kamal C.</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>FR3</scope><scope>KR7</scope><scope>7UA</scope><scope>C1K</scope><scope>F1W</scope><scope>H96</scope><scope>L.G</scope></search><sort><creationdate>20110201</creationdate><title>Modelling of fully grouted rock bolt based on enriched finite element method</title><author>Deb, Debasis ; Das, Kamal C.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a424t-e1aa1c8846945fd56aa3c116a87a27d2f4689529d18c162db3765fb0039960613</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Applied sciences</topic><topic>Bolting</topic><topic>Bolts</topic><topic>Buildings. Public works</topic><topic>Computation methods. Tables. Charts</topic><topic>Decoupling</topic><topic>EFEM</topic><topic>Enrichment</topic><topic>Exact sciences and technology</topic><topic>Geotechnics</topic><topic>Grouted rock bolt</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Mohr–Coulomb yield criterion</topic><topic>Released displacement</topic><topic>Rock</topic><topic>Rock (material)</topic><topic>Rock bolts</topic><topic>Stabilization. Consolidation</topic><topic>Structural analysis. Stresses</topic><topic>Supported tunnels</topic><topic>Tunnels, galleries</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Deb, Debasis</creatorcontrib><creatorcontrib>Das, Kamal C.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Civil Engineering Abstracts</collection><collection>Water Resources Abstracts</collection><collection>Environmental Sciences and Pollution Management</collection><collection>ASFA: Aquatic Sciences and Fisheries Abstracts</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy & Non-Living Resources</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) Professional</collection><jtitle>International journal of rock mechanics and mining sciences (Oxford, England : 1997)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Deb, Debasis</au><au>Das, Kamal C.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Modelling of fully grouted rock bolt based on enriched finite element method</atitle><jtitle>International journal of rock mechanics and mining sciences (Oxford, England : 1997)</jtitle><date>2011-02-01</date><risdate>2011</risdate><volume>48</volume><issue>2</issue><spage>283</spage><epage>293</epage><pages>283-293</pages><issn>1365-1609</issn><eissn>1873-4545</eissn><abstract>Analysis of mechanical behaviour of rock mass reinforced by fully grouted rock bolt is introduced based on the enriched finite element method (EFEM). A solid element intersected by a rock bolt along any arbitrary direction is defined as ‘enriched’ element and it has additional degrees of freedom at each node for estimating displacements and stresses in bolt rod. Numerical procedures of EFEM are developed to form enriched stiffness matrix using constitutive relations of rock mass, properties of bolt rod and grout material and orientation of the bolt. Decoupling of rock bolt and elasto-plastic behaviour of rock mass has been incorporated into the EFEM procedures. Released displacement of rock mass prior to bolt installation has also been considered in the procedures to provide realistic solution. The results of this method are verified with an analytical pull-out test model. In addition, a numerical example of a bolted tunnel is provided to demonstrate the efficacy of the proposed method for practical applications.</abstract><cop>Oxford</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.ijrmms.2010.11.015</doi><tpages>11</tpages></addata></record> |
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language | eng |
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source | Elsevier ScienceDirect Journals |
subjects | Applied sciences Bolting Bolts Buildings. Public works Computation methods. Tables. Charts Decoupling EFEM Enrichment Exact sciences and technology Geotechnics Grouted rock bolt Mathematical analysis Mathematical models Mohr–Coulomb yield criterion Released displacement Rock Rock (material) Rock bolts Stabilization. Consolidation Structural analysis. Stresses Supported tunnels Tunnels, galleries |
title | Modelling of fully grouted rock bolt based on enriched finite element method |
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