Anisotropic linear elastic materials subject to undrained plane strain deformation
A previous generation seems to have ‘known’ that if a linear elastic ‘soil’ with E′ v /E′ h anisotropy is subject to undrained plane strain, the anisotropy is not detectable. This fact has significant consequences for modelling of many undrained geotechnical situations, including computed displaceme...
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| creator | Simpson, B. |
| description | A previous generation seems to have ‘known’ that if a linear elastic ‘soil’ with E′
v
/E′
h
anisotropy is subject to undrained plane strain, the anisotropy is not detectable. This fact has significant consequences for modelling of many undrained geotechnical situations, including computed displacements caused by tunnelling. The author has often found that it is not known by numerical modellers, and he has not been able to find a proof of it in the literature. In this paper, it is proved that if a linear elastic ‘soil’ with E′
v
/E′
h
anisotropy is subject to undrained plane strain, the anisotropy is not detectable. This is shown mathematically and also demonstrated by finite-element analysis. Properties of linear elastic anisotropic total stress models are also investigated. The independent shear stiffness, G
vh
, is important to undrained deformation problems, however. |
| doi_str_mv | 10.1680/jgeot.16.P.057 |
| format | Article |
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v
/E′
h
anisotropy is subject to undrained plane strain, the anisotropy is not detectable. This fact has significant consequences for modelling of many undrained geotechnical situations, including computed displacements caused by tunnelling. The author has often found that it is not known by numerical modellers, and he has not been able to find a proof of it in the literature. In this paper, it is proved that if a linear elastic ‘soil’ with E′
v
/E′
h
anisotropy is subject to undrained plane strain, the anisotropy is not detectable. This is shown mathematically and also demonstrated by finite-element analysis. Properties of linear elastic anisotropic total stress models are also investigated. The independent shear stiffness, G
vh
, is important to undrained deformation problems, however.</description><identifier>ISSN: 0016-8505</identifier><identifier>EISSN: 1751-7656</identifier><identifier>DOI: 10.1680/jgeot.16.P.057</identifier><language>eng</language><publisher>London: ICE Publishing</publisher><subject>Anisotropy ; Deformation ; Deformation mechanisms ; Elastic anisotropy ; Elastic deformation ; Elastic properties ; Finite element method ; Geotechnical engineering ; Mathematical models ; Modelling ; Plane strain ; Shear stiffness ; Soil ; Strain</subject><ispartof>Géotechnique, 2017-08, Vol.67 (8), p.728-732</ispartof><rights>2017 Thomas Telford Ltd</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c267t-aafd30df07919378c00fc39462b44fee8a23948da7e4cd6b2cabd74b99bce5073</citedby><cites>FETCH-LOGICAL-c267t-aafd30df07919378c00fc39462b44fee8a23948da7e4cd6b2cabd74b99bce5073</cites><orcidid>0000-0001-7680-6260</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27903,27904</link.rule.ids></links><search><creatorcontrib>Simpson, B.</creatorcontrib><title>Anisotropic linear elastic materials subject to undrained plane strain deformation</title><title>Géotechnique</title><description>A previous generation seems to have ‘known’ that if a linear elastic ‘soil’ with E′
v
/E′
h
anisotropy is subject to undrained plane strain, the anisotropy is not detectable. This fact has significant consequences for modelling of many undrained geotechnical situations, including computed displacements caused by tunnelling. The author has often found that it is not known by numerical modellers, and he has not been able to find a proof of it in the literature. In this paper, it is proved that if a linear elastic ‘soil’ with E′
v
/E′
h
anisotropy is subject to undrained plane strain, the anisotropy is not detectable. This is shown mathematically and also demonstrated by finite-element analysis. Properties of linear elastic anisotropic total stress models are also investigated. The independent shear stiffness, G
vh
, is important to undrained deformation problems, however.</description><subject>Anisotropy</subject><subject>Deformation</subject><subject>Deformation mechanisms</subject><subject>Elastic anisotropy</subject><subject>Elastic deformation</subject><subject>Elastic properties</subject><subject>Finite element method</subject><subject>Geotechnical engineering</subject><subject>Mathematical models</subject><subject>Modelling</subject><subject>Plane strain</subject><subject>Shear stiffness</subject><subject>Soil</subject><subject>Strain</subject><issn>0016-8505</issn><issn>1751-7656</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><recordid>eNotkM1LxDAQxYMouKx79Rzw3Dpp2qQ9LotfsOAieg75mEqXblOT9OB_b3Q9DPN-8N4MPEJuGZRMtHB__ESfsiwPJTTygqyYbFghRSMuyQqAiaJtoLkmmxgHA1CLupHAV-RtOw3Rp-DnwdJxmFAHiqOOKeNJJwyDHiONizmiTTR5ukwu6OxzdB71hDSmX6QOex9yYPDTDbnqcwg3_3tNPh4f3nfPxf716WW33Re2EjIVWveOg-tBdqzjsrUAveVdLSpT1z1iq6tMrdMSa-uEqaw2Ttam64zFBiRfk7vz3Tn4rwVjUke_hCm_VKyrgEOeLrvKs8sGH2PAXs1hOOnwrRio3-rUX3VZqoPK1fEfjD5kjA</recordid><startdate>201708</startdate><enddate>201708</enddate><creator>Simpson, B.</creator><general>ICE Publishing</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7TN</scope><scope>7UA</scope><scope>8FD</scope><scope>C1K</scope><scope>F1W</scope><scope>F28</scope><scope>FR3</scope><scope>H96</scope><scope>KR7</scope><scope>L.G</scope><orcidid>https://orcid.org/0000-0001-7680-6260</orcidid></search><sort><creationdate>201708</creationdate><title>Anisotropic linear elastic materials subject to undrained plane strain deformation</title><author>Simpson, B.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c267t-aafd30df07919378c00fc39462b44fee8a23948da7e4cd6b2cabd74b99bce5073</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Anisotropy</topic><topic>Deformation</topic><topic>Deformation mechanisms</topic><topic>Elastic anisotropy</topic><topic>Elastic deformation</topic><topic>Elastic properties</topic><topic>Finite element method</topic><topic>Geotechnical engineering</topic><topic>Mathematical models</topic><topic>Modelling</topic><topic>Plane strain</topic><topic>Shear stiffness</topic><topic>Soil</topic><topic>Strain</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Simpson, B.</creatorcontrib><collection>CrossRef</collection><collection>Oceanic Abstracts</collection><collection>Water Resources Abstracts</collection><collection>Technology Research Database</collection><collection>Environmental Sciences and Pollution Management</collection><collection>ASFA: Aquatic Sciences and Fisheries Abstracts</collection><collection>ANTE: Abstracts in New Technology & Engineering</collection><collection>Engineering Research Database</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy & Non-Living Resources</collection><collection>Civil Engineering Abstracts</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) Professional</collection><jtitle>Géotechnique</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Simpson, B.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Anisotropic linear elastic materials subject to undrained plane strain deformation</atitle><jtitle>Géotechnique</jtitle><date>2017-08</date><risdate>2017</risdate><volume>67</volume><issue>8</issue><spage>728</spage><epage>732</epage><pages>728-732</pages><issn>0016-8505</issn><eissn>1751-7656</eissn><abstract>A previous generation seems to have ‘known’ that if a linear elastic ‘soil’ with E′
v
/E′
h
anisotropy is subject to undrained plane strain, the anisotropy is not detectable. This fact has significant consequences for modelling of many undrained geotechnical situations, including computed displacements caused by tunnelling. The author has often found that it is not known by numerical modellers, and he has not been able to find a proof of it in the literature. In this paper, it is proved that if a linear elastic ‘soil’ with E′
v
/E′
h
anisotropy is subject to undrained plane strain, the anisotropy is not detectable. This is shown mathematically and also demonstrated by finite-element analysis. Properties of linear elastic anisotropic total stress models are also investigated. The independent shear stiffness, G
vh
, is important to undrained deformation problems, however.</abstract><cop>London</cop><pub>ICE Publishing</pub><doi>10.1680/jgeot.16.P.057</doi><tpages>5</tpages><orcidid>https://orcid.org/0000-0001-7680-6260</orcidid></addata></record> |
| fulltext | fulltext |
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| ispartof | Géotechnique, 2017-08, Vol.67 (8), p.728-732 |
| issn | 0016-8505 1751-7656 |
| language | eng |
| recordid | cdi_proquest_journals_1920302039 |
| source | ICE Virtual Library Journals |
| subjects | Anisotropy Deformation Deformation mechanisms Elastic anisotropy Elastic deformation Elastic properties Finite element method Geotechnical engineering Mathematical models Modelling Plane strain Shear stiffness Soil Strain |
| title | Anisotropic linear elastic materials subject to undrained plane strain deformation |
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