<?xml version="1.0" encoding="utf-8"?>
<TEI xmlns="http://www.tei-c.org/ns/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:hal="http://hal.archives-ouvertes.fr/" xmlns:gml="http://www.opengis.net/gml/3.3/" xmlns:gmlce="http://www.opengis.net/gml/3.3/ce" version="1.1" xsi:schemaLocation="http://www.tei-c.org/ns/1.0 http://api.archives-ouvertes.fr/documents/aofr-sword.xsd">
  <teiHeader>
    <fileDesc>
      <titleStmt>
        <title>HAL TEI export of hal-01368671</title>
      </titleStmt>
      <publicationStmt>
        <distributor>CCSD</distributor>
        <availability status="restricted">
          <licence target="https://creativecommons.org/publicdomain/zero/1.0/">CC0 1.0 - Universal</licence>
        </availability>
        <date when="2026-05-01T20:47:01+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Thermoelasticity and irreversible thermodynamics</title>
            <author role="aut">
              <persName>
                <forename type="first">Maurice A.</forename>
                <surname>Biot</surname>
              </persName>
              <idno type="halauthorid">1059851-0</idno>
              <affiliation ref="#struct-75524"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Maurice A.</forename>
                <surname>Biot</surname>
              </persName>
              <email type="md5">a648fac4520d0bb25605350460fa4d6d</email>
              <email type="domain">enpc.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2016-09-21 16:49:24</date>
              <date type="whenModified">2020-12-18 18:46:05</date>
              <date type="whenReleased">2016-09-22 10:28:47</date>
              <date type="whenProduced">1956</date>
              <date type="whenEndEmbargoed">2016-09-21</date>
              <ref type="file" target="https://hal.science/hal-01368671v1/document">
                <date notBefore="2016-09-21"/>
              </ref>
              <ref type="file" subtype="greenPublisher" n="1" target="https://hal.science/hal-01368671v1/file/Thermoelasticity%20and%20irreversible%20thermodynamics.pdf" id="file-1369942-1451145">
                <date notBefore="2016-09-21"/>
              </ref>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="366592">
                <persName>
                  <forename>Maurice A.</forename>
                  <surname>Biot</surname>
                </persName>
                <email type="md5">a648fac4520d0bb25605350460fa4d6d</email>
                <email type="domain">enpc.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-01368671</idno>
            <idno type="halUri">https://hal.science/hal-01368671</idno>
            <idno type="halBibtex">biot:hal-01368671</idno>
            <idno type="halRefHtml">&lt;i&gt;Journal of Applied Physics&lt;/i&gt;, 1956, 27 (3), pp.240-253. &lt;a target="_blank" href="https://dx.doi.org/10.1063/1.1722351"&gt;&amp;#x27E8;10.1063/1.1722351&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">Journal of Applied Physics, 1956, 27 (3), pp.240-253. &amp;#x27E8;10.1063/1.1722351&amp;#x27E9;</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-1369942-1451145"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt/>
          <notesStmt>
            <note type="audience" n="2">International</note>
            <note type="popular" n="0">No</note>
            <note type="peer" n="1">Yes</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">Thermoelasticity and irreversible thermodynamics</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Maurice A.</forename>
                    <surname>Biot</surname>
                  </persName>
                  <idno type="halauthorid">1059851-0</idno>
                  <affiliation ref="#struct-75524"/>
                </author>
              </analytic>
              <monogr>
                <idno type="halJournalId" status="VALID">5853</idno>
                <idno type="issn">0021-8979</idno>
                <idno type="eissn">1089-7550</idno>
                <title level="j">Journal of Applied Physics</title>
                <imprint>
                  <publisher>American Institute of Physics</publisher>
                  <biblScope unit="volume">27</biblScope>
                  <biblScope unit="issue">3</biblScope>
                  <biblScope unit="pp">240-253</biblScope>
                  <date type="datePub">1956</date>
                </imprint>
              </monogr>
              <idno type="doi">10.1063/1.1722351</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <classCode scheme="halDomain" n="spi.meca">Engineering Sciences [physics]/Mechanics [physics.med-ph]</classCode>
              <classCode scheme="halTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halOldTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halTreeTypology" n="ART">Journal articles</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>A unified treatment is presented of thermoelasticity by application and further developments of the methods of irreversible thermodynamics. The concept of generalized free energy introduced in a previous publication plays the role of a ``thermoelastic potential'' and is used along with a new definition of the dissipation function in terms of the time derivative of an entropy displacement. The general laws of thermoelasticity are formulated in a variational form along with a minimum entropy production principle. This leads to equations of the Lagrangian type, and the concept of thermal force is introduced by means of a virtual work definition. Heat conduction problems can then be formulated by the methods of matrix algebra and mechanics. This also leads to the very general property that the entropy density obeys a diffusion‐type law. General solutions of the equations of thermoelasticity are also given using the Papkovitch‐Boussinesq potentials. Examples are presented and it is shown how the generalized coordinate method may be used to calculate the thermoelastic internal damping of elastic bodies.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="regroupinstitution" xml:id="struct-75524" status="VALID">
          <idno type="ROR">https://ror.org/0190ak572</idno>
          <orgName>Columbia University [New York]</orgName>
          <desc>
            <address>
              <addrLine>Columbia University in the City of New York, 2960 Broadway, New York, NY 10027-6902</addrLine>
              <country key="US"/>
            </address>
            <ref type="url">https://www.columbia.edu/</ref>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>