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1、TensorPropertiesofSolidsPhenomenologicalDevelopmentoftheTensorPropertiesofCrystalsMC:TinderFM_Pagei-12/28/2007,10:39AMAchornInternationalCopyright©2008byMorgan&ClaypoolAllrightsreserved.Nopartofthispublicationmaybereproduced,storedinaretrievalsystem,ortransmittedinany
2、formorbyanymeans—electronic,mechanical,photocopy,recording,oranyotherexceptforbriefquotationsinprintedreviews,withoutthepriorpermissionofthepublisher.TensorPropertiesofSolids:PhenomenologicalDevelopmentoftheTensorPropertiesofCrystalsRichardF.Tinderwww.morganclaypool.c
3、omISBN:1598293486paperbackISBN:9781598293487paperbackISBN:1598293494ebookISBN:9781598293494ebookDOI:10.2200/S00057ED1V01Y200712ENG04DOI:10.2200/S00058ED1V01Y200712ENG05APublicationintheMorgan&ClaypoolPublishersseriesSYNTHESISLECTURESONENGINEERING#4Lecture#4SeriesISSNI
4、SSN1939-5221printISSN1939-523XelectronicMC:TinderFM_Pageii-12/28/2007,10:39AMAchornInternationalTensorPropertiesofSolidsPhenomenologicalDevelopmentoftheTensorPropertiesofCrystalsRichardF.TinderWashingtonStateUniversitySYNTHESISLECTURESONENGINEERING#4&MCMorgan&Claypool
5、PublishersMC:TinderFM_Pageiii-12/28/2007,10:39AMAchornInternationalivABSTRACTTensorPropertiesofSolidspresentsthephenomenologicaldevelopmentofsolidstatepropertiesrep-resentedasmattertensorsintwoparts:PartIonequilibriumtensorpropertiesandPartIIontransporttensorpropertie
6、s.PartIbeginswithanintroductiontotensornotation,transformations,algebra,andcalcu-lustogetherwiththematrixrepresentations.Crystallography,asitrelatestotensorpropertiesofcrystals,completesthebackgroundtreatment.Ageneralizedtreatmentofsolid-stateequilibriumthermodynamics
7、leadstothesystematiccorrelationofequilibriumtensorproperties.Thisisfol-lowedbydevelopmentscoveringfirst-,second-,third-,andhigher-ordertensoreffects.Includedarethegeneralizedcomplianceandrigiditymatricesforfirst-ordertensorproperties,Maxwellrela-tions,effectofmeasurem
8、entconditions,andthedependentcoupledeffectsanduseofinteractiondiagrams.PartIconcludeswiththesecond-andhigher-ordereffects,in
