Uniform Gradient Element Formulation with Hourglass Control Scheme for Solving Fully Coupled Finite-Element Equations for Saturated Soils
AbstractA uniform gradient (UG) element formulation for a four-node quadrilateral element is derived and implemented for solving the fully coupled governing equations for the dynamics of a saturated porous medium. An hourglass control scheme is also derived for eliminating the hourglass modes that a...
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| Veröffentlicht in: | International journal of geomechanics 2016-02, Vol.16 (1) |
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| container_title | International journal of geomechanics |
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| creator | Ravichandran, Nadarajah Muraleetharan, Kanthasamy K Taylor, Lee M Mish, Kyran D |
| description | AbstractA uniform gradient (UG) element formulation for a four-node quadrilateral element is derived and implemented for solving the fully coupled governing equations for the dynamics of a saturated porous medium. An hourglass control scheme is also derived for eliminating the hourglass modes that arise when using the UG element formulation. The effectiveness of the new formulations is investigated by simulating the quasi-static and dynamics response of a footing and the dynamic response of an earth dam. The results show that the level of excitation of hourglass modes is problem-dependent and mesh-dependent. The proposed method for controlling the hourglass modes is shown to be effective with minimal effect on the computed response. |
| doi_str_mv | 10.1061/(ASCE)GM.1943-5622.0000490 |
| format | Article |
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The proposed method for controlling the hourglass modes is shown to be effective with minimal effect on the computed response.</description><subject>Computer simulation</subject><subject>Dynamic response</subject><subject>Earth</subject><subject>Formulations</subject><subject>Joining</subject><subject>Mathematical analysis</subject><subject>Porous media</subject><subject>Saturated soils</subject><subject>Technical Papers</subject><issn>1532-3641</issn><issn>1943-5622</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNqNkUFPwyAYhhujiXP6H4gnPXRCoQW8Lcs6TTQepmdCO6ostEygmv0E_7XUzd1M5PKRL8_zHr43SS4RnCBYoJur6XI2v148ThAnOM2LLJvA-AiHR8nosDuO_xxnKS4IOk3OvF9DiCjJ-Sj5eul0Y10LFk6utOoCmBvVDrOM297IoG0HPnV4A3e2d69Geg9mtgvOGrCs3yILog-W1nzo7hWUvTHbCPQbo1ag1J0OKv2NnL_3P3l-p8jQOxkitrTa-PPkpJHGq4v9HCcv5fx5dpc-PC3uZ9OHVGKah1RCtsoyVpFK0QoxwhouG8I4kvmqUTWjUjW4QYxJTmmNOcp4pVhd1ETljFYEj5OrXe7G2fde-SBa7WtljOyU7b1AlEOecQrhP1BGOcMFRhG93aG1s9471YiN0610W4GgGKoSYqhKLB7FUIsYahH7qqJc7GQZ08U63rmLFziYf4vf0_-aog</recordid><startdate>20160201</startdate><enddate>20160201</enddate><creator>Ravichandran, Nadarajah</creator><creator>Muraleetharan, Kanthasamy K</creator><creator>Taylor, Lee M</creator><creator>Mish, Kyran D</creator><general>American Society of Civil Engineers</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>F28</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>20160201</creationdate><title>Uniform Gradient Element Formulation with Hourglass Control Scheme for Solving Fully Coupled Finite-Element Equations for Saturated Soils</title><author>Ravichandran, Nadarajah ; Muraleetharan, Kanthasamy K ; Taylor, Lee M ; Mish, Kyran D</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a375t-a08d228b4be7b1848f9af4891a5dfec87aef3f188a977c39129be8c6c4e587b43</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Computer simulation</topic><topic>Dynamic response</topic><topic>Earth</topic><topic>Formulations</topic><topic>Joining</topic><topic>Mathematical analysis</topic><topic>Porous media</topic><topic>Saturated soils</topic><topic>Technical Papers</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ravichandran, Nadarajah</creatorcontrib><creatorcontrib>Muraleetharan, Kanthasamy K</creatorcontrib><creatorcontrib>Taylor, Lee M</creatorcontrib><creatorcontrib>Mish, Kyran D</creatorcontrib><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>ANTE: Abstracts in New Technology & Engineering</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 geomechanics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ravichandran, Nadarajah</au><au>Muraleetharan, Kanthasamy K</au><au>Taylor, Lee M</au><au>Mish, Kyran D</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Uniform Gradient Element Formulation with Hourglass Control Scheme for Solving Fully Coupled Finite-Element Equations for Saturated Soils</atitle><jtitle>International journal of geomechanics</jtitle><date>2016-02-01</date><risdate>2016</risdate><volume>16</volume><issue>1</issue><issn>1532-3641</issn><eissn>1943-5622</eissn><abstract>AbstractA uniform gradient (UG) element formulation for a four-node quadrilateral element is derived and implemented for solving the fully coupled governing equations for the dynamics of a saturated porous medium. An hourglass control scheme is also derived for eliminating the hourglass modes that arise when using the UG element formulation. The effectiveness of the new formulations is investigated by simulating the quasi-static and dynamics response of a footing and the dynamic response of an earth dam. The results show that the level of excitation of hourglass modes is problem-dependent and mesh-dependent. The proposed method for controlling the hourglass modes is shown to be effective with minimal effect on the computed response.</abstract><pub>American Society of Civil Engineers</pub><doi>10.1061/(ASCE)GM.1943-5622.0000490</doi></addata></record> |
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| ispartof | International journal of geomechanics, 2016-02, Vol.16 (1) |
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| language | eng |
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| source | American Society of Civil Engineers:NESLI2:Journals:2014 |
| subjects | Computer simulation Dynamic response Earth Formulations Joining Mathematical analysis Porous media Saturated soils Technical Papers |
| title | Uniform Gradient Element Formulation with Hourglass Control Scheme for Solving Fully Coupled Finite-Element Equations for Saturated Soils |
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