A quasistatic analysis of a plate on consolidating layered soils by analytical layer-element/finite element method coupling
SUMMARY In this paper, a coupling method between finite element and analytical layer‐elements is utilized to analyze the time‐dependent behavior of a plate of any shape and finite rigidity resting on layered saturated soils. Based on the integral transform techniques together with the aid of an orde...
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| Veröffentlicht in: | International journal for numerical and analytical methods in geomechanics 2014-09, Vol.38 (13), p.1362-1380 |
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| container_title | International journal for numerical and analytical methods in geomechanics |
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| creator | Ai, Zhi Yong Cheng, Yi Chong Cao, Guo Jun |
| description | SUMMARY
In this paper, a coupling method between finite element and analytical layer‐elements is utilized to analyze the time‐dependent behavior of a plate of any shape and finite rigidity resting on layered saturated soils. Based on the integral transform techniques together with the aid of an order reduction method, an analytical layer‐element solution is derived from the governing equations for three‐dimensional Biot consolidation with respect to a Cartesian coordinate system and then extended to be the fundamental solution for the layered saturated soil under a point load. The Mindlin plate is modeled by eight‐noded isoparametric elements. The governing equations of the interaction between soil and plate in the Laplace‐Fourier transformed domain are deduced by referring to the coupling theory of FEM/BEM, and the final solution is obtained by applying numerical inversion. Numerical examples concerned with the time‐dependent response of a plate are performed to demonstrate the influence of soil and plate properties on the interaction process. Copyright © 2014 John Wiley & Sons, Ltd. |
| doi_str_mv | 10.1002/nag.2261 |
| format | Article |
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In this paper, a coupling method between finite element and analytical layer‐elements is utilized to analyze the time‐dependent behavior of a plate of any shape and finite rigidity resting on layered saturated soils. Based on the integral transform techniques together with the aid of an order reduction method, an analytical layer‐element solution is derived from the governing equations for three‐dimensional Biot consolidation with respect to a Cartesian coordinate system and then extended to be the fundamental solution for the layered saturated soil under a point load. The Mindlin plate is modeled by eight‐noded isoparametric elements. The governing equations of the interaction between soil and plate in the Laplace‐Fourier transformed domain are deduced by referring to the coupling theory of FEM/BEM, and the final solution is obtained by applying numerical inversion. Numerical examples concerned with the time‐dependent response of a plate are performed to demonstrate the influence of soil and plate properties on the interaction process. Copyright © 2014 John Wiley & Sons, Ltd.</description><identifier>ISSN: 0363-9061</identifier><identifier>EISSN: 1096-9853</identifier><identifier>DOI: 10.1002/nag.2261</identifier><identifier>CODEN: IJNGDZ</identifier><language>eng</language><publisher>Chichester: Blackwell Publishing Ltd</publisher><subject>analytical layer-element method ; Applied sciences ; Buildings. Public works ; Cartesian coordinate system ; Computation methods. Tables. Charts ; Consolidation ; coupling ; Exact sciences and technology ; Finite element method ; Geotechnics ; layered saturated soils ; Layered soils ; Mathematical analysis ; Mathematical models ; Mindlin plate ; Saturated soils ; Stabilization. Consolidation ; Structural analysis. Stresses ; Structure-soil interaction ; Three dimensional models</subject><ispartof>International journal for numerical and analytical methods in geomechanics, 2014-09, Vol.38 (13), p.1362-1380</ispartof><rights>Copyright © 2014 John Wiley & Sons, Ltd.</rights><rights>2015 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-a5201-5601261163259f21ab821f3d257a6b35eadda9a621f2dd03fbae06a4fcf5f2c03</citedby><cites>FETCH-LOGICAL-a5201-5601261163259f21ab821f3d257a6b35eadda9a621f2dd03fbae06a4fcf5f2c03</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1002%2Fnag.2261$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Fnag.2261$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,776,780,1411,27903,27904,45553,45554</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=28617177$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Ai, Zhi Yong</creatorcontrib><creatorcontrib>Cheng, Yi Chong</creatorcontrib><creatorcontrib>Cao, Guo Jun</creatorcontrib><title>A quasistatic analysis of a plate on consolidating layered soils by analytical layer-element/finite element method coupling</title><title>International journal for numerical and analytical methods in geomechanics</title><addtitle>Int. J. Numer. Anal. Meth. Geomech</addtitle><description>SUMMARY
In this paper, a coupling method between finite element and analytical layer‐elements is utilized to analyze the time‐dependent behavior of a plate of any shape and finite rigidity resting on layered saturated soils. Based on the integral transform techniques together with the aid of an order reduction method, an analytical layer‐element solution is derived from the governing equations for three‐dimensional Biot consolidation with respect to a Cartesian coordinate system and then extended to be the fundamental solution for the layered saturated soil under a point load. The Mindlin plate is modeled by eight‐noded isoparametric elements. The governing equations of the interaction between soil and plate in the Laplace‐Fourier transformed domain are deduced by referring to the coupling theory of FEM/BEM, and the final solution is obtained by applying numerical inversion. Numerical examples concerned with the time‐dependent response of a plate are performed to demonstrate the influence of soil and plate properties on the interaction process. Copyright © 2014 John Wiley & Sons, Ltd.</description><subject>analytical layer-element method</subject><subject>Applied sciences</subject><subject>Buildings. Public works</subject><subject>Cartesian coordinate system</subject><subject>Computation methods. Tables. Charts</subject><subject>Consolidation</subject><subject>coupling</subject><subject>Exact sciences and technology</subject><subject>Finite element method</subject><subject>Geotechnics</subject><subject>layered saturated soils</subject><subject>Layered soils</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Mindlin plate</subject><subject>Saturated soils</subject><subject>Stabilization. Consolidation</subject><subject>Structural analysis. Stresses</subject><subject>Structure-soil interaction</subject><subject>Three dimensional models</subject><issn>0363-9061</issn><issn>1096-9853</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><recordid>eNqFkV1LHDEUhkOp0K0W-hMCpdCbWfMxyexcLlJXRdSL1V6GszOJjc0mazJDO_jnzbCDQkG8CifnycPJeRH6SsmcEsKOPdzPGZP0A5pRUsuiXgj-Ec0Il7yoiaSf0OeUHgghIndn6GmJH3tINnXQ2QaDBzfkCgeDAe8cdBoHj5vgU3C2zYy_xw4GHXWLU7Au4c2wf5Wfg9v3Cu30Vvvu2Fhvs2Eq8VZ3v0Obbf3OZdEROjDgkv4ynYfo9vTn-uSsuLxenZ8sLwsQjNBCSELzh6jkTNSGUdgsGDW8ZaICueFCQ9tCDTJfsrYl3GxAEwmlaYwwrCH8EP3Ye3cxPPY6dWprU6OdA69DnxStyrJilAvxPipklScp-Wj99h_6EPqYNzFSgvNSElm9CpsYUoraqF20W4iDokSNgakcmBoDy-j3SQgpr9JE8I1NLzxbSFrRalQWe-6vdXp406eulqvJO_E5ZP3vhYf4R-UBK6F-Xa3U3bq8WZzdUXXBnwFC5LN3</recordid><startdate>201409</startdate><enddate>201409</enddate><creator>Ai, Zhi Yong</creator><creator>Cheng, Yi Chong</creator><creator>Cao, Guo Jun</creator><general>Blackwell Publishing Ltd</general><general>Wiley</general><general>Wiley Subscription Services, Inc</general><scope>BSCLL</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7UA</scope><scope>8FD</scope><scope>C1K</scope><scope>F1W</scope><scope>FR3</scope><scope>H96</scope><scope>JQ2</scope><scope>KR7</scope><scope>L.G</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>201409</creationdate><title>A quasistatic analysis of a plate on consolidating layered soils by analytical layer-element/finite element method coupling</title><author>Ai, Zhi Yong ; Cheng, Yi Chong ; Cao, Guo Jun</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a5201-5601261163259f21ab821f3d257a6b35eadda9a621f2dd03fbae06a4fcf5f2c03</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>analytical layer-element method</topic><topic>Applied sciences</topic><topic>Buildings. Public works</topic><topic>Cartesian coordinate system</topic><topic>Computation methods. Tables. Charts</topic><topic>Consolidation</topic><topic>coupling</topic><topic>Exact sciences and technology</topic><topic>Finite element method</topic><topic>Geotechnics</topic><topic>layered saturated soils</topic><topic>Layered soils</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Mindlin plate</topic><topic>Saturated soils</topic><topic>Stabilization. Consolidation</topic><topic>Structural analysis. Stresses</topic><topic>Structure-soil interaction</topic><topic>Three dimensional models</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ai, Zhi Yong</creatorcontrib><creatorcontrib>Cheng, Yi Chong</creatorcontrib><creatorcontrib>Cao, Guo Jun</creatorcontrib><collection>Istex</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Computer and Information Systems 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>Engineering Research Database</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy & Non-Living Resources</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) Professional</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>International journal for numerical and analytical methods in geomechanics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ai, Zhi Yong</au><au>Cheng, Yi Chong</au><au>Cao, Guo Jun</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A quasistatic analysis of a plate on consolidating layered soils by analytical layer-element/finite element method coupling</atitle><jtitle>International journal for numerical and analytical methods in geomechanics</jtitle><addtitle>Int. J. Numer. Anal. Meth. Geomech</addtitle><date>2014-09</date><risdate>2014</risdate><volume>38</volume><issue>13</issue><spage>1362</spage><epage>1380</epage><pages>1362-1380</pages><issn>0363-9061</issn><eissn>1096-9853</eissn><coden>IJNGDZ</coden><abstract>SUMMARY
In this paper, a coupling method between finite element and analytical layer‐elements is utilized to analyze the time‐dependent behavior of a plate of any shape and finite rigidity resting on layered saturated soils. Based on the integral transform techniques together with the aid of an order reduction method, an analytical layer‐element solution is derived from the governing equations for three‐dimensional Biot consolidation with respect to a Cartesian coordinate system and then extended to be the fundamental solution for the layered saturated soil under a point load. The Mindlin plate is modeled by eight‐noded isoparametric elements. The governing equations of the interaction between soil and plate in the Laplace‐Fourier transformed domain are deduced by referring to the coupling theory of FEM/BEM, and the final solution is obtained by applying numerical inversion. Numerical examples concerned with the time‐dependent response of a plate are performed to demonstrate the influence of soil and plate properties on the interaction process. Copyright © 2014 John Wiley & Sons, Ltd.</abstract><cop>Chichester</cop><pub>Blackwell Publishing Ltd</pub><doi>10.1002/nag.2261</doi><tpages>19</tpages></addata></record> |
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| subjects | analytical layer-element method Applied sciences Buildings. Public works Cartesian coordinate system Computation methods. Tables. Charts Consolidation coupling Exact sciences and technology Finite element method Geotechnics layered saturated soils Layered soils Mathematical analysis Mathematical models Mindlin plate Saturated soils Stabilization. Consolidation Structural analysis. Stresses Structure-soil interaction Three dimensional models |
| title | A quasistatic analysis of a plate on consolidating layered soils by analytical layer-element/finite element method coupling |
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