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1、References参考文献òSPTimoshenko,JNGoodier.TheoryofElasticity.TheoryofElasticityMcGraw-HillBookCompany弹性力学ò吴家龙.弹性力学.同济大学出版社，1992ò钱伟长、叶开源等.弹性力学.科学出版社，1980ò黄炎.工程弹性力学.清华大学出版社.1982汤立群华南理工大学SouthChinaUniversityofTechnologyEmail:lqtang@scut.edu.cnTang,LQ2InitialStageCh.1Introdu
2、ction初始阶段òBriefHistory/简史òHooke(虎克，1678)òBasicAssumptions/基本假设–Hooke’sLaw（虎克定律）——LinearrelationsbetweenthecomponentsofstressandthecomponentsòConceptofTensors/张量概念ofstrainòNewton(牛顿，1687)–Newton‘sThreeLawsofMotion（牛顿三定律）Tang,LQ3Tang,LQ4SettingupFundamentalTheoriesLine
3、arElasticTheory基础理论建立线性弹性力学òNavier（纳维）,Cauchy（柯西）,Green（格林）,òSt.Venánt（圣维南）Thomson（汤姆生）（1821－1855）–Torsionofcylinder,LocalizationPrinciple,Semi-–FundamentalproblemsofelasticityinverseMethod–DeterminationoftheelasticcoefficientnumberòAiry（艾里）–Settingupthefundamentaleq
4、uationsofelasticity–PlaneProblems–ProofoftheindependentelasticcoefficientnumberbyòHertz（赫兹）LawofEnergyConservation(能量守恒定律)–ContactProblems–ProofoftheindependentelasticcoefficientnumberbyòKirchhoff（克希霍夫）First&SecondLawsofThermodynamics(热力学第一、第二定律)–Balanceandvibrationo
5、fplaneboardTang,LQ5Tang,LQ61NonlinearElasticTheoryLinearElasticTheory(Cont’s)非线性弹性理论òBetti（贝蒂）òVonKarman（冯卡门）、钱学森–Reciprocaltheoremofwork(功互等定理)–LargedeflectionandstabilityofthinplatesòRayleigh（瑞利）、Galerkin（伽辽金）ò胡海昌、钱伟长–Energymethods,Approximationmethods–ElasticVaria
6、tionPrinciple（弹性变分原理）òLatestdevelopment–钟万勰－“弹性力学求解新体系”Tang,LQ7Tang,LQ8Ch.1IntroductionWhatisElasticity?òBriefHistory/简史òElasticity——IftheexternalforcesproducingòBasicAssumptions/基本假设deformationdonotexceedacertainlimit,thedeformationdisappearswiththeremovaloftheforce
7、òConceptofTensors/张量概念òPerfectElasticity(完全弹性)——BodiesundergoingtheactionofexternalforcesresumetheirinitialformcompletelyafterremovaloftheforcesTang,LQ9Tang,LQ10BasicAssumptionsContinuityòContinuity/连续性òAssumethatthematterofanelasticbodyisòHomogeneity/均匀性continuously
8、distributedoveritsvolume.òIsotropy/各向同性òAtomicstructurewillnotbeconsidered–Diameterofaatomisabout0.1NanometeròPerfectElasticity/完全弹
