Undrained stability of a square tunnel where the shear strength increases linearly with depth
This paper investigates the stability of a plane strain square tunnel in undrained clay, where the shear strength profile increases linearly with depth. The stability for a range of tunnel geometries and soil conditions are found using rigid-block upper bound methods as well as finite element limit...
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| Veröffentlicht in: | Computers and geotechnics 2013-04, Vol.49, p.314-325 |
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| container_title | Computers and geotechnics |
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| creator | Wilson, Daniel W. Abbo, Andrew J. Sloan, Scott W. Lyamin, Andrei V. |
| description | This paper investigates the stability of a plane strain square tunnel in undrained clay, where the shear strength profile increases linearly with depth. The stability for a range of tunnel geometries and soil conditions are found using rigid-block upper bound methods as well as finite element limit analysis. The latter procedures employ a discrete form of the bound theorems of classical plasticity, use a bespoke conic programming scheme to solve the resulting optimisation problems, and bracket the true collapse load with upper and lower bound solutions to within 5% for all the cases considered. Results from the parametric study are summarised in the form of stability charts. An approximate closed-form expression is developed for use by practising engineers. |
| doi_str_mv | 10.1016/j.compgeo.2012.09.005 |
| format | Article |
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The stability for a range of tunnel geometries and soil conditions are found using rigid-block upper bound methods as well as finite element limit analysis. The latter procedures employ a discrete form of the bound theorems of classical plasticity, use a bespoke conic programming scheme to solve the resulting optimisation problems, and bracket the true collapse load with upper and lower bound solutions to within 5% for all the cases considered. Results from the parametric study are summarised in the form of stability charts. 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The stability for a range of tunnel geometries and soil conditions are found using rigid-block upper bound methods as well as finite element limit analysis. The latter procedures employ a discrete form of the bound theorems of classical plasticity, use a bespoke conic programming scheme to solve the resulting optimisation problems, and bracket the true collapse load with upper and lower bound solutions to within 5% for all the cases considered. Results from the parametric study are summarised in the form of stability charts. An approximate closed-form expression is developed for use by practising engineers.</description><subject>Collapse</subject><subject>Exact solutions</subject><subject>Finite element methods</subject><subject>Geotechnics</subject><subject>Limit analysis</subject><subject>Mathematical analysis</subject><subject>Shear strength</subject><subject>Stability</subject><subject>Theorems</subject><subject>Tunnels</subject><subject>Tunnels (transportation)</subject><issn>0266-352X</issn><issn>1873-7633</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><recordid>eNqNkUtLAzEUhYMoWKs_QcjSzYzJ5DGZlUjxBYIbBTcS0uTGSZnOtMnU0n9vSt3X1eVevnPgnoPQNSUlJVTeLko7LFffMJQVoVVJmpIQcYImVNWsqCVjp2hCKikLJqrPc3SR0oJkXaOaCfr66F00oQeH02jmoQvjDg8eG5zWGxMBj5u-hw5vW9gvLeDUgokZjtB_jy0OvY1gEiTcZRcTux3ehnx3sBrbS3TmTZfg6m9O0cfjw_vsuXh9e3qZ3b8WlhM1Ft5z521VES6VF7VxxnDLubROCd40hNF5_kIQSaj3ws7BOCs8Z4YbpTj3bIpuDr6rOKw3kEa9DMlC15kehk3SVNaU17VU6l8o4w1X5DgqMplzZDyj4oDaOKQUwetVDEsTd5oSvS9JL_RfSXpfkiaNziVl3d1BBzmdnwBRJxugt-BCBDtqN4QjDr-bNp5O</recordid><startdate>201304</startdate><enddate>201304</enddate><creator>Wilson, Daniel W.</creator><creator>Abbo, Andrew J.</creator><creator>Sloan, Scott W.</creator><creator>Lyamin, Andrei V.</creator><general>Elsevier Ltd</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>201304</creationdate><title>Undrained stability of a square tunnel where the shear strength increases linearly with depth</title><author>Wilson, Daniel W. ; Abbo, Andrew J. ; Sloan, Scott W. ; Lyamin, Andrei V.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c408t-ff4dfc220468f57adaa4c446cd85499031b63350601ff5cbeadc5f43a4a8844f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>Collapse</topic><topic>Exact solutions</topic><topic>Finite element methods</topic><topic>Geotechnics</topic><topic>Limit analysis</topic><topic>Mathematical analysis</topic><topic>Shear strength</topic><topic>Stability</topic><topic>Theorems</topic><topic>Tunnels</topic><topic>Tunnels (transportation)</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Wilson, Daniel W.</creatorcontrib><creatorcontrib>Abbo, Andrew J.</creatorcontrib><creatorcontrib>Sloan, Scott W.</creatorcontrib><creatorcontrib>Lyamin, Andrei V.</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Computers and geotechnics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Wilson, Daniel W.</au><au>Abbo, Andrew J.</au><au>Sloan, Scott W.</au><au>Lyamin, Andrei V.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Undrained stability of a square tunnel where the shear strength increases linearly with depth</atitle><jtitle>Computers and geotechnics</jtitle><date>2013-04</date><risdate>2013</risdate><volume>49</volume><spage>314</spage><epage>325</epage><pages>314-325</pages><issn>0266-352X</issn><eissn>1873-7633</eissn><abstract>This paper investigates the stability of a plane strain square tunnel in undrained clay, where the shear strength profile increases linearly with depth. The stability for a range of tunnel geometries and soil conditions are found using rigid-block upper bound methods as well as finite element limit analysis. The latter procedures employ a discrete form of the bound theorems of classical plasticity, use a bespoke conic programming scheme to solve the resulting optimisation problems, and bracket the true collapse load with upper and lower bound solutions to within 5% for all the cases considered. Results from the parametric study are summarised in the form of stability charts. An approximate closed-form expression is developed for use by practising engineers.</abstract><pub>Elsevier Ltd</pub><doi>10.1016/j.compgeo.2012.09.005</doi><tpages>12</tpages></addata></record> |
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| ispartof | Computers and geotechnics, 2013-04, Vol.49, p.314-325 |
| issn | 0266-352X 1873-7633 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_1671477688 |
| source | Elsevier ScienceDirect Journals Complete |
| subjects | Collapse Exact solutions Finite element methods Geotechnics Limit analysis Mathematical analysis Shear strength Stability Theorems Tunnels Tunnels (transportation) |
| title | Undrained stability of a square tunnel where the shear strength increases linearly with depth |
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