On the derivation for the gradients of the principal invariants

On the derivation for the gradients of the principal invariants

In this notes, it is shown that the method carried out by Truesdell and Noll [1] for the gradients of the principal invariants is available to be used for arbitrary second-order A. Finally, some trace identities for the derivatives of invariants are given.[PUBLICATION ABSTRACT]

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of elasticity 2005-01, Vol.75 (2), p.193-196
Hauptverfasser: Dui, Guansuo, Jin, Ming, Huang, Haiming
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 196
container_issue 2
container_start_page 193
container_title Journal of elasticity
container_volume 75
creator Dui, Guansuo
Jin, Ming
Huang, Haiming
description In this notes, it is shown that the method carried out by Truesdell and Noll [1] for the gradients of the principal invariants is available to be used for arbitrary second-order A. Finally, some trace identities for the derivatives of invariants are given.[PUBLICATION ABSTRACT]
doi_str_mv 10.1007/s10659-005-4150-4
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_881675620</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2420335051</sourcerecordid><originalsourceid>FETCH-LOGICAL-c187t-3a78c9619412d7d81d975917bc49cb850fcb4d5f87f7951f0e8991981fde1a433</originalsourceid><addsrcrecordid>eNotkE9LAzEUxIMoWKsfwNviPfreJtkkJ5GiVSj0oueQzR9Nqbs12Rb89m67nh7MG2aGHyG3CPcIIB8KQiM0BRCUowDKz8gMhWS0bhSekxkwySkTTFySq1I2AKAVhxl5XHfV8BUqH3I62CH1XRX7fJI-s_UpdEOp-ngSdjl1Lu3stkrdweZkx981uYh2W8LN_52Tj5fn98UrXa2Xb4unFXWo5ECZlcrpBjXH2kuv0GspNMrWce1aJSC6lnsRlYxSC4wQlNaoFUYf0HLG5uRuyt3l_mcfymA2_T53Y6VRChspmhpGE04ml_tScohmnPxt869BMEdMZsJkRkzmiMlw9gcki1m4</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>881675620</pqid></control><display><type>article</type><title>On the derivation for the gradients of the principal invariants</title><source>SpringerLink Journals - AutoHoldings</source><creator>Dui, Guansuo ; Jin, Ming ; Huang, Haiming</creator><creatorcontrib>Dui, Guansuo ; Jin, Ming ; Huang, Haiming</creatorcontrib><description>In this notes, it is shown that the method carried out by Truesdell and Noll [1] for the gradients of the principal invariants is available to be used for arbitrary second-order A. Finally, some trace identities for the derivatives of invariants are given.[PUBLICATION ABSTRACT]</description><identifier>ISSN: 0374-3535</identifier><identifier>EISSN: 1573-2681</identifier><identifier>DOI: 10.1007/s10659-005-4150-4</identifier><language>eng</language><publisher>Groningen: Springer Nature B.V</publisher><ispartof>Journal of elasticity, 2005-01, Vol.75 (2), p.193-196</ispartof><rights>Kluwer Academic Publishers 2004</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c187t-3a78c9619412d7d81d975917bc49cb850fcb4d5f87f7951f0e8991981fde1a433</citedby><cites>FETCH-LOGICAL-c187t-3a78c9619412d7d81d975917bc49cb850fcb4d5f87f7951f0e8991981fde1a433</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Dui, Guansuo</creatorcontrib><creatorcontrib>Jin, Ming</creatorcontrib><creatorcontrib>Huang, Haiming</creatorcontrib><title>On the derivation for the gradients of the principal invariants</title><title>Journal of elasticity</title><description>In this notes, it is shown that the method carried out by Truesdell and Noll [1] for the gradients of the principal invariants is available to be used for arbitrary second-order A. Finally, some trace identities for the derivatives of invariants are given.[PUBLICATION ABSTRACT]</description><issn>0374-3535</issn><issn>1573-2681</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2005</creationdate><recordtype>article</recordtype><recordid>eNotkE9LAzEUxIMoWKsfwNviPfreJtkkJ5GiVSj0oueQzR9Nqbs12Rb89m67nh7MG2aGHyG3CPcIIB8KQiM0BRCUowDKz8gMhWS0bhSekxkwySkTTFySq1I2AKAVhxl5XHfV8BUqH3I62CH1XRX7fJI-s_UpdEOp-ngSdjl1Lu3stkrdweZkx981uYh2W8LN_52Tj5fn98UrXa2Xb4unFXWo5ECZlcrpBjXH2kuv0GspNMrWce1aJSC6lnsRlYxSC4wQlNaoFUYf0HLG5uRuyt3l_mcfymA2_T53Y6VRChspmhpGE04ml_tScohmnPxt869BMEdMZsJkRkzmiMlw9gcki1m4</recordid><startdate>200501</startdate><enddate>200501</enddate><creator>Dui, Guansuo</creator><creator>Jin, Ming</creator><creator>Huang, Haiming</creator><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>7TB</scope><scope>8BQ</scope><scope>8FD</scope><scope>FR3</scope><scope>JG9</scope><scope>KR7</scope></search><sort><creationdate>200501</creationdate><title>On the derivation for the gradients of the principal invariants</title><author>Dui, Guansuo ; Jin, Ming ; Huang, Haiming</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c187t-3a78c9619412d7d81d975917bc49cb850fcb4d5f87f7951f0e8991981fde1a433</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2005</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Dui, Guansuo</creatorcontrib><creatorcontrib>Jin, Ming</creatorcontrib><creatorcontrib>Huang, Haiming</creatorcontrib><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Mechanical &amp; Transportation Engineering Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Materials Research Database</collection><collection>Civil Engineering Abstracts</collection><jtitle>Journal of elasticity</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Dui, Guansuo</au><au>Jin, Ming</au><au>Huang, Haiming</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On the derivation for the gradients of the principal invariants</atitle><jtitle>Journal of elasticity</jtitle><date>2005-01</date><risdate>2005</risdate><volume>75</volume><issue>2</issue><spage>193</spage><epage>196</epage><pages>193-196</pages><issn>0374-3535</issn><eissn>1573-2681</eissn><abstract>In this notes, it is shown that the method carried out by Truesdell and Noll [1] for the gradients of the principal invariants is available to be used for arbitrary second-order A. Finally, some trace identities for the derivatives of invariants are given.[PUBLICATION ABSTRACT]</abstract><cop>Groningen</cop><pub>Springer Nature B.V</pub><doi>10.1007/s10659-005-4150-4</doi><tpages>4</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0374-3535
ispartof Journal of elasticity, 2005-01, Vol.75 (2), p.193-196
issn 0374-3535
1573-2681
language eng
recordid cdi_proquest_journals_881675620
source SpringerLink Journals - AutoHoldings
title On the derivation for the gradients of the principal invariants
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-01T19%3A30%3A59IST&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=On%20the%20derivation%20for%20the%20gradients%20of%20the%20principal%20invariants&rft.jtitle=Journal%20of%20elasticity&rft.au=Dui,%20Guansuo&rft.date=2005-01&rft.volume=75&rft.issue=2&rft.spage=193&rft.epage=196&rft.pages=193-196&rft.issn=0374-3535&rft.eissn=1573-2681&rft_id=info:doi/10.1007/s10659-005-4150-4&rft_dat=%3Cproquest_cross%3E2420335051%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=881675620&rft_id=info:pmid/&rfr_iscdi=true