Numerical application of fractional derivative model constitutive relations for viscoelastic materials

A differential equation describing the motion of a viscoelastic bar is developed and studied. The bar material is modeled using a fractional derivative based constitutive relationship. The three-dimensional Poisson tapering effect is included in the development of the differential equation, but is n...

Full description

Saved in:
Bibliographic Details
Published in:Computers & structures 1996-07, Vol.60 (6), p.875-882
Main Authors: Eldred, L.B., Baker, W.P., Palazotto, A.N.
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c335t-15b778e35f7dea064252958dab9ec85576b75d746f84bf6fd9627a4ead1346793
cites cdi_FETCH-LOGICAL-c335t-15b778e35f7dea064252958dab9ec85576b75d746f84bf6fd9627a4ead1346793
container_end_page 882
container_issue 6
container_start_page 875
container_title Computers & structures
container_volume 60
creator Eldred, L.B.
Baker, W.P.
Palazotto, A.N.
description A differential equation describing the motion of a viscoelastic bar is developed and studied. The bar material is modeled using a fractional derivative based constitutive relationship. The three-dimensional Poisson tapering effect is included in the development of the differential equation, but is not included in the solution of the linearized system. Various numerical approaches and models for the representation of a fractional order derivative and for the solution of the differential equation are studied.
doi_str_mv 10.1016/0045-7949(95)00447-5
format article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_23800891</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>0045794995004475</els_id><sourcerecordid>23800891</sourcerecordid><originalsourceid>FETCH-LOGICAL-c335t-15b778e35f7dea064252958dab9ec85576b75d746f84bf6fd9627a4ead1346793</originalsourceid><addsrcrecordid>eNp9UMtKxDAUDaLg-PgDF1mJLqpJmzTNRpDBFwy60XVIkxuItM2YtAX_3nRGXLq6j_Pg3oPQBSU3lND6lhDGCyGZvJL8Og9MFPwArWgjZFGWrDpEqz_KMTpJ6ZMQUjNCVsi9Tj1Eb3SH9Xbb5Wb0YcDBYRe1WfqM2MyYMzAD7oOFDpswpNGP024VoduJEnYh4tknE_Im4wb3esxS3aUzdORygfPfeoo-Hh_e18_F5u3pZX2_KUxV8bGgvBWigYo7YUHnE0teSt5Y3UowDeeibgW3gtWuYa2rnZV1KTQDbWnFaiGrU3S5993G8DVBGlWf74Gu0wOEKamyaghpJM1EtieaGFKK4NQ2-l7Hb0WJWkJVS2JqSUxJrnahKp5ld3sZ5CdmD1El42EwYH0EMyob_P8GP3CegLY</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>23800891</pqid></control><display><type>article</type><title>Numerical application of fractional derivative model constitutive relations for viscoelastic materials</title><source>ScienceDirect Freedom Collection 2022-2024</source><creator>Eldred, L.B. ; Baker, W.P. ; Palazotto, A.N.</creator><creatorcontrib>Eldred, L.B. ; Baker, W.P. ; Palazotto, A.N.</creatorcontrib><description>A differential equation describing the motion of a viscoelastic bar is developed and studied. The bar material is modeled using a fractional derivative based constitutive relationship. The three-dimensional Poisson tapering effect is included in the development of the differential equation, but is not included in the solution of the linearized system. Various numerical approaches and models for the representation of a fractional order derivative and for the solution of the differential equation are studied.</description><identifier>ISSN: 0045-7949</identifier><identifier>EISSN: 1879-2243</identifier><identifier>DOI: 10.1016/0045-7949(95)00447-5</identifier><language>eng</language><publisher>Elsevier Ltd</publisher><ispartof>Computers &amp; structures, 1996-07, Vol.60 (6), p.875-882</ispartof><rights>1996</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c335t-15b778e35f7dea064252958dab9ec85576b75d746f84bf6fd9627a4ead1346793</citedby><cites>FETCH-LOGICAL-c335t-15b778e35f7dea064252958dab9ec85576b75d746f84bf6fd9627a4ead1346793</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>315,781,785,27926,27927</link.rule.ids></links><search><creatorcontrib>Eldred, L.B.</creatorcontrib><creatorcontrib>Baker, W.P.</creatorcontrib><creatorcontrib>Palazotto, A.N.</creatorcontrib><title>Numerical application of fractional derivative model constitutive relations for viscoelastic materials</title><title>Computers &amp; structures</title><description>A differential equation describing the motion of a viscoelastic bar is developed and studied. The bar material is modeled using a fractional derivative based constitutive relationship. The three-dimensional Poisson tapering effect is included in the development of the differential equation, but is not included in the solution of the linearized system. Various numerical approaches and models for the representation of a fractional order derivative and for the solution of the differential equation are studied.</description><issn>0045-7949</issn><issn>1879-2243</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1996</creationdate><recordtype>article</recordtype><recordid>eNp9UMtKxDAUDaLg-PgDF1mJLqpJmzTNRpDBFwy60XVIkxuItM2YtAX_3nRGXLq6j_Pg3oPQBSU3lND6lhDGCyGZvJL8Og9MFPwArWgjZFGWrDpEqz_KMTpJ6ZMQUjNCVsi9Tj1Eb3SH9Xbb5Wb0YcDBYRe1WfqM2MyYMzAD7oOFDpswpNGP024VoduJEnYh4tknE_Im4wb3esxS3aUzdORygfPfeoo-Hh_e18_F5u3pZX2_KUxV8bGgvBWigYo7YUHnE0teSt5Y3UowDeeibgW3gtWuYa2rnZV1KTQDbWnFaiGrU3S5993G8DVBGlWf74Gu0wOEKamyaghpJM1EtieaGFKK4NQ2-l7Hb0WJWkJVS2JqSUxJrnahKp5ld3sZ5CdmD1El42EwYH0EMyob_P8GP3CegLY</recordid><startdate>19960724</startdate><enddate>19960724</enddate><creator>Eldred, L.B.</creator><creator>Baker, W.P.</creator><creator>Palazotto, A.N.</creator><general>Elsevier Ltd</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>19960724</creationdate><title>Numerical application of fractional derivative model constitutive relations for viscoelastic materials</title><author>Eldred, L.B. ; Baker, W.P. ; Palazotto, A.N.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c335t-15b778e35f7dea064252958dab9ec85576b75d746f84bf6fd9627a4ead1346793</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1996</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Eldred, L.B.</creatorcontrib><creatorcontrib>Baker, W.P.</creatorcontrib><creatorcontrib>Palazotto, A.N.</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</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 &amp; structures</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Eldred, L.B.</au><au>Baker, W.P.</au><au>Palazotto, A.N.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Numerical application of fractional derivative model constitutive relations for viscoelastic materials</atitle><jtitle>Computers &amp; structures</jtitle><date>1996-07-24</date><risdate>1996</risdate><volume>60</volume><issue>6</issue><spage>875</spage><epage>882</epage><pages>875-882</pages><issn>0045-7949</issn><eissn>1879-2243</eissn><abstract>A differential equation describing the motion of a viscoelastic bar is developed and studied. The bar material is modeled using a fractional derivative based constitutive relationship. The three-dimensional Poisson tapering effect is included in the development of the differential equation, but is not included in the solution of the linearized system. Various numerical approaches and models for the representation of a fractional order derivative and for the solution of the differential equation are studied.</abstract><pub>Elsevier Ltd</pub><doi>10.1016/0045-7949(95)00447-5</doi><tpages>8</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0045-7949
ispartof Computers & structures, 1996-07, Vol.60 (6), p.875-882
issn 0045-7949
1879-2243
language eng
recordid cdi_proquest_miscellaneous_23800891
source ScienceDirect Freedom Collection 2022-2024
title Numerical application of fractional derivative model constitutive relations for viscoelastic materials
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-18T09%3A00%3A29IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Numerical%20application%20of%20fractional%20derivative%20model%20constitutive%20relations%20for%20viscoelastic%20materials&rft.jtitle=Computers%20&%20structures&rft.au=Eldred,%20L.B.&rft.date=1996-07-24&rft.volume=60&rft.issue=6&rft.spage=875&rft.epage=882&rft.pages=875-882&rft.issn=0045-7949&rft.eissn=1879-2243&rft_id=info:doi/10.1016/0045-7949(95)00447-5&rft_dat=%3Cproquest_cross%3E23800891%3C/proquest_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c335t-15b778e35f7dea064252958dab9ec85576b75d746f84bf6fd9627a4ead1346793%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=23800891&rft_id=info:pmid/&rfr_iscdi=true