资源描述：
《The thermodynamics of elastic materials with heat conduction and viscosity英文文献资料》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。
1、TheThermodynamicsofElasticMaterialswithHeatConductionandViscosityBERNARDD.COLEMANWALTERNOLL1.IntroductionThebasicphysicalconceptsofclassicalcontinuummechanicsarebody,con-figurationofabody,and/orcesystemactingonabody.Inaformalrationaldevelopmentofthesubject,onefirsttriest
2、ostatepreciselywhatmathematicalentitiesrePresentthesephysicalconcepts:abodyisregardedtobeasmoothmanifoldwhoseelementsarethematerialpoints;aconfigurationisdefinedasamappingofthebodyintoathree-dimensionalEuclideanspace,andaforcesystemisddfinedtobeavector-valuedfunctiondefi
3、nedforpairsofbodiesx.Oncetheseconceptsaremadepreciseonecanproceedtothestatementof-generalprinciples,suchastheprincipleofobjectivityorthelawofbalanceoflinearmomentum,andtothestatementofspecificconstitutiveassumptions,suchastheassertionthataforcesystemcanberesolvedintobody
4、forceswithamassdensityandcontactforceswithasurfacedensity,ortheassertionthatthecontactforcesatamaterialpointdependoncertainlocalpropertiesoftheconfigurationatthepoint.Whilethegeneralprinciplesarethesameforallworkinclassicalcontinuummechanics,theconstitutiveassumptionsvar
5、ywiththeapplicationinmindandservetodefinethematerialunderconsideration.Whenonehasstatedthemathematicalnatureofbodies,configurationsandforces,andhaslaiddownthewaysinwhichtheseconceptsoccurinthegeneralprinciplesandtheconstitut!veassumptions,thenthepropertiesoftheseconcepts
6、arefixed,andonecanpresentrigorousargumentswithoutrecourseto"operationaldefinitions"andothermetaphysicalparaphernalia,whichmaybeofsomeuseindecidingontheapplicabilityofatheorytoaspecificphysicalsituationbutseemtohavenoplaceinitsmathematicaldevelopment.Todiscussthethermodyn
7、amicsofcontinua,itappearsthattotheconceptsofcontinuummechanicsonemustaddfivenewbasicconcepts:thesearetem-perature,specificinternalenergy~,specificentropya,heatflux,andheatsupply4(duetoradiation).Oncemechanicsisaxiomatized,itiseasytogivethemathe-maticalentitiesrepresentin
8、gthethermodynamicconcepts:temperature,specificinternalenergy,specificentropyandheatsupplyarescalarfield
