Thermoelastic-Plastic Flow Equations in General Coordinates

The equations governing the thermoelastic-plastic flow of isotropic solids in the Prandtl-Reuss and small anisotropy approximations in Cartesian coordinates are generalized to arbitrary coordinate systems. In applications the choice of coordinates is dictated by the symmetry of the solid flow. The g...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2018-03
Hauptverfasser: Blaschke, Daniel N, Preston, Dean L
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page
container_issue
container_start_page
container_title arXiv.org
container_volume
creator Blaschke, Daniel N
Preston, Dean L
description The equations governing the thermoelastic-plastic flow of isotropic solids in the Prandtl-Reuss and small anisotropy approximations in Cartesian coordinates are generalized to arbitrary coordinate systems. In applications the choice of coordinates is dictated by the symmetry of the solid flow. The generally invariant equations are evaluated in spherical, cylindrical (including uniaxial), and both prolate and oblate spheroidal coordinates.
doi_str_mv 10.48550/arxiv.1709.07730
format Article
fullrecord <record><control><sourceid>proquest_arxiv</sourceid><recordid>TN_cdi_arxiv_primary_1709_07730</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2072235192</sourcerecordid><originalsourceid>FETCH-LOGICAL-a522-23463ec0cd585573d8ba03539db1572b9b6ed49dcc1b2c1c46fa1ac6df9088003</originalsourceid><addsrcrecordid>eNotj09LwzAYh4MgOOY-gCcLnlvfvGmaBk9StikM9NB7SZMUM7pmS1r_fHvr5ul3efjxPITcUcjyknN4VOHbfWZUgMxACAZXZIGM0bTMEW_IKsY9AGAhkHO2IE_1hw0Hb3sVR6fT98smm95_JevTpEbnh5i4IdnawQbVJ5X3wbhBjTbekutO9dGu_ndJ6s26rl7S3dv2tXrepYojpsjyglkN2vDZTzBTtgoYZ9K0lAtsZVtYk0ujNW1RU50XnaJKF6aTUJYAbEnuL7fnsuYY3EGFn-avsDkXzsTDhTgGf5psHJu9n8IwOzUIApFxKpH9Ah-MUxI</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2072235192</pqid></control><display><type>article</type><title>Thermoelastic-Plastic Flow Equations in General Coordinates</title><source>arXiv.org</source><source>Free E- Journals</source><creator>Blaschke, Daniel N ; Preston, Dean L</creator><creatorcontrib>Blaschke, Daniel N ; Preston, Dean L</creatorcontrib><description>The equations governing the thermoelastic-plastic flow of isotropic solids in the Prandtl-Reuss and small anisotropy approximations in Cartesian coordinates are generalized to arbitrary coordinate systems. In applications the choice of coordinates is dictated by the symmetry of the solid flow. The generally invariant equations are evaluated in spherical, cylindrical (including uniaxial), and both prolate and oblate spheroidal coordinates.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.1709.07730</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Anisotropy ; Cartesian coordinates ; Coordinates ; Flow equations ; Mathematical analysis ; Physics - Fluid Dynamics ; Physics - Soft Condensed Matter ; Plastic flow</subject><ispartof>arXiv.org, 2018-03</ispartof><rights>2018. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,777,781,882,27906</link.rule.ids><backlink>$$Uhttps://doi.org/10.48550/arXiv.1709.07730$$DView paper in arXiv$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.1016/j.jpcs.2018.03.026$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink></links><search><creatorcontrib>Blaschke, Daniel N</creatorcontrib><creatorcontrib>Preston, Dean L</creatorcontrib><title>Thermoelastic-Plastic Flow Equations in General Coordinates</title><title>arXiv.org</title><description>The equations governing the thermoelastic-plastic flow of isotropic solids in the Prandtl-Reuss and small anisotropy approximations in Cartesian coordinates are generalized to arbitrary coordinate systems. In applications the choice of coordinates is dictated by the symmetry of the solid flow. The generally invariant equations are evaluated in spherical, cylindrical (including uniaxial), and both prolate and oblate spheroidal coordinates.</description><subject>Anisotropy</subject><subject>Cartesian coordinates</subject><subject>Coordinates</subject><subject>Flow equations</subject><subject>Mathematical analysis</subject><subject>Physics - Fluid Dynamics</subject><subject>Physics - Soft Condensed Matter</subject><subject>Plastic flow</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GOX</sourceid><recordid>eNotj09LwzAYh4MgOOY-gCcLnlvfvGmaBk9StikM9NB7SZMUM7pmS1r_fHvr5ul3efjxPITcUcjyknN4VOHbfWZUgMxACAZXZIGM0bTMEW_IKsY9AGAhkHO2IE_1hw0Hb3sVR6fT98smm95_JevTpEbnh5i4IdnawQbVJ5X3wbhBjTbekutO9dGu_ndJ6s26rl7S3dv2tXrepYojpsjyglkN2vDZTzBTtgoYZ9K0lAtsZVtYk0ujNW1RU50XnaJKF6aTUJYAbEnuL7fnsuYY3EGFn-avsDkXzsTDhTgGf5psHJu9n8IwOzUIApFxKpH9Ah-MUxI</recordid><startdate>20180322</startdate><enddate>20180322</enddate><creator>Blaschke, Daniel N</creator><creator>Preston, Dean L</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>GOX</scope></search><sort><creationdate>20180322</creationdate><title>Thermoelastic-Plastic Flow Equations in General Coordinates</title><author>Blaschke, Daniel N ; Preston, Dean L</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a522-23463ec0cd585573d8ba03539db1572b9b6ed49dcc1b2c1c46fa1ac6df9088003</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Anisotropy</topic><topic>Cartesian coordinates</topic><topic>Coordinates</topic><topic>Flow equations</topic><topic>Mathematical analysis</topic><topic>Physics - Fluid Dynamics</topic><topic>Physics - Soft Condensed Matter</topic><topic>Plastic flow</topic><toplevel>online_resources</toplevel><creatorcontrib>Blaschke, Daniel N</creatorcontrib><creatorcontrib>Preston, Dean L</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Blaschke, Daniel N</au><au>Preston, Dean L</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Thermoelastic-Plastic Flow Equations in General Coordinates</atitle><jtitle>arXiv.org</jtitle><date>2018-03-22</date><risdate>2018</risdate><eissn>2331-8422</eissn><abstract>The equations governing the thermoelastic-plastic flow of isotropic solids in the Prandtl-Reuss and small anisotropy approximations in Cartesian coordinates are generalized to arbitrary coordinate systems. In applications the choice of coordinates is dictated by the symmetry of the solid flow. The generally invariant equations are evaluated in spherical, cylindrical (including uniaxial), and both prolate and oblate spheroidal coordinates.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.1709.07730</doi><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier EISSN: 2331-8422
ispartof arXiv.org, 2018-03
issn 2331-8422
language eng
recordid cdi_arxiv_primary_1709_07730
source arXiv.org; Free E- Journals
subjects Anisotropy
Cartesian coordinates
Coordinates
Flow equations
Mathematical analysis
Physics - Fluid Dynamics
Physics - Soft Condensed Matter
Plastic flow
title Thermoelastic-Plastic Flow Equations in General Coordinates
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-19T10%3A02%3A17IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_arxiv&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Thermoelastic-Plastic%20Flow%20Equations%20in%20General%20Coordinates&rft.jtitle=arXiv.org&rft.au=Blaschke,%20Daniel%20N&rft.date=2018-03-22&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.1709.07730&rft_dat=%3Cproquest_arxiv%3E2072235192%3C/proquest_arxiv%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2072235192&rft_id=info:pmid/&rfr_iscdi=true