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1、MaximumDissipationNon-EquilibriumThermodynamicsanditsGeometricStructureHenryW.HaslachJr.MaximumDissipationNon-EquilibriumThermodynamicsanditsGeometricStructure123HenryW.HaslachJr.DepartmentofMechanicalEngineeringUniversityofMarylandGlennL.MartinHallCollegePark,MD20742-3035,USAha
2、slach@umd.eduISBN978-1-4419-7764-9e-ISBN978-1-4419-7765-6DOI10.1007/978-1-4419-7765-6SpringerNewYorkDordrechtHeidelbergLondoncSpringerScience+BusinessMedia,LLC2011Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewrittenpermissionofthepublisher(Spring
3、erScience+BusinessMedia,LLC,233SpringStreet,NewYork,NY10013,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodologynowknownorhereafte
4、rdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarks,andsimilarterms,eveniftheyarenotidentiTedassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubjecttoproprietaryrights.Printedonacid-freepaperSpringerispartofSpringerScience+Busines
5、sMedia(www.springer.com)PrefaceThisworkexplicatesageometricmodelfornon-equilibriumthermodynamicsandamaximumdissipationcriterionassumedtosupplementthesecondlawofthermody-namics.Theevolutionequationsresultingfromtheauthor?smaximumdissipationconstructionprovideaconstitutivemodelfor
6、non-equilibriumprocesses.Thecon-structioncanaccountfortheeffectofloads,heat,electromagneticeffects,chemicaleffects,andtransportprocesseson?uidsandsolids.Intheprocessofproducingamathematicalconstructiondescribingtheevolutionofnon-equilibriumprocesses,someinsightisalsoobtainedabou
7、tthefoundationsofthermodynamics.Afurthergoalistoputthismodelinthecontextofthehistoryofthermodynamicsandconsti-tutivemodelingofsolids.Aconstitutivemodelisamathematicalconstructthatdescribestheinter-relationsofasetofvariablesthatarepresumedtodescribethephysicalstateandbehaviorofth
8、eparticularmaterialsmakingupthebody.Themodelmig
