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1、PABCUFX161-ConstantinescuAugust13,200717:14ThispageintentionallyleftblankPABCUFX161-ConstantinescuAugust13,200717:14ElasticitywithMRATHEMATICAThisbookgivesanintroductiontothekeyideasandprinciplesinthetheoryofelas-ticitywiththehelpofsymboliccomputation.Differentialandintegr
2、aloperatorsonvectorandtensorfieldsofdisplacements,strains,andstressesareconsideredonaconsistentandrigorousbasiswithrespecttocurvilinearorthogonalcoordi-natesystems.Asaconsequence,vectorandtensorobjectscanbemanipulatedreadily,andfundamentalconceptscanbeillustratedandproblemss
3、olvedwithease.Themethodisillustratedusingavarietyofplaneandthree-dimensionalelas-ticproblems.Generaltheorems,fundamentalsolutions,displacements,andstresspotentialsarepresentedanddiscussed.TheRayleigh-Ritzmethodforobtainingapproximatesolutionsisintroducedforelastostaticandsp
4、ectralanalysisproblems.Thebookcontainsmorethan60exercisesandsolutionsintheformofMathemat-icanotebooksthataccompanyeverychapter.Oncethereaderlearnsandmastersthetechniques,theycanbeappliedtoalargerangeofpracticalandfundamentalproblems.AndreiConstantinescuiscurrentlyDirecteurd
5、eRechercheatCNRS:theFrenchNationalCenterforScientificResearchintheLaboratoiredeMecaniquedesSolides,andAssociatedProfessoratEcolePolytechnique,Palaiseau,nearParis.He´teachescoursesoncontinuummechanics,elasticity,fatigue,andinverseproblemsatengineeringschoolsfromtheParisTechCo
6、nsortium.Hisresearchisinappliedmechanicsandcoversareasrangingfrominverseproblemsandtheidentificationofdefectsandconstitutivelawstofatigueandlifetimepredictionofstructures.TheresultshaveappliedthroughcollaborationandconsultingforcompaniessuchasthecarmanufacturerPeugeot-Citroe
7、n,energyprovidersElectricit´edeFranceand´GazdeFrance,andtheaeroenginemanufacturerMTU.AlexanderKorsunskyiscurrentlyProfessorintheDepartmentofEngineeringSci-ence,UniversityofOxford.HeisalsoaFellowandDeanatTrinityCollege,Oxford.HeteachescoursesinEnglandandFranceonengineeringal
8、loys,fracturemechan-ics,appliedelasticity,advancedstressanalysis,andresidualstress