应力和平衡方程PPT课件

.,TheoryofElasticity,Chapter3StressandEquilibrium(应力和平衡方程),.,Content（内容）,Introduction（概述）MathematicalPreliminaries（数学基础）StressandEquilibrium（应力与平衡）DisplacementsandStrains（位移与应变）MaterialBehavior-LinearElasticSolids（弹性应力应变关系)FormulationandSolutionStrategies（弹性力学问题求解）Two-DimensionalFormulation（平面问题基本理论）Two-DimensionalSolution（平面问题的直角坐标求解）Two-DimensionalSolution（平面问题的极坐标求解）Three-DimensionalProblems（三维空间问题）BendingofThinPlates（薄板弯曲）PlasticdeformationIntroduction（塑性力学基础）IntroductiontoFiniteElementMechod（有限元方法介绍）,3,1,.,Chapter3(第三章),3.1BodyandSurfaceForces（体力和面力）3.2StressVector（应力）3.3StressTensor(应力张量)3.4Stateofstressatapoint(一点应力状态)3.5Principalstress(主应力)3.6Octahedralstrains(八面体应力)3.7SphericalandDeviatoricStresses（应力球张量和应力偏张量）3.8EquilibriumEquations（平衡方程）,3,2,.,3.1BodyandSurfaceForces（体力和面力）,3,Externalloadings（外力）,NotationandSign,3,.,3,Surfaceforces（面力）：,NotationandSign,4,3.1BodyandSurfaceForces（体力和面力）,.,3.2StressVector（应力矢量）,3,StressVector（应力矢量）,5,.,3.2StressVector（应力矢量）,TheintensityofinternalforceatpointP(内力集度),(2)Stressvector(应力矢量),6,3,(3)Normalandshearingstress(正应力、剪应力),.,3,StressTensoratapoint(一点的应力张量),7,3.3StressTensor(应力张量),Thestressonxplanex面的应力,Thestressonyplaney面的应力,Thestressonzplanez面的应力,.,3,8,3.3StressTensor(应力张量),ij:stresstensor(应力张量),VonKarmanNotations,PositiveDirections,NotationandSign,.,3.4Stateofstressatapoint(一点应力状态),9,3,.,3,10,3.4Stateofstressatapoint(一点应力状态),(2-D)MechanicsofMaterials(材料力学),.,11,3,3D:throughequationcondition:(由平衡条件得如下公式),3.4Stateofstressatapoint(一点应力状态的描述),.,12,3,3.4Stateofstressatapoint(一点应力状态的描述),Normalandshearingstress(由平衡条件得如下公式),.,13,3,ThroughtheIndicialNotation（由指标记法）：,3.4Stateofstressatapoint(一点应力状态的描述),CoordinateTransformations（坐标变换）,xyz,xyz,.,14,3,isatwoordertensor(是一个二阶张量),ThestateofstressatpointPcanbesuccessfullydescribedby(P点的应力状态可以由完整的描述),3.4Stateofstressatapoint(一点应力状态的描述),.,3,15,Intwodimensionalcoordinate（在二维坐标系）,3.4Stateofstressatapoint(一点应力状态的描述),.,3,16,Threedimensional(三维)：,3.4Stateofstressatapoint(一点应力状态的描述),.,3,17,3.5Principalstress(主应力),.,3.5Principalstress(主应力),18,3,.,3.5Principalstress(主应力),Thegeneralcharacteristicequationforthestresstensor（应力张量特征方程）,Invariantsofthestresstensor,19,3,.,其中为第四强度理论的等效应力,3.6Octahedralstrains(八面体应力),20,3,.,3,21,3.7SphericalandDeviatoricStresses（应力球张量和应力偏张量）,.,3,sphericalstress（球应力）,whilethedeviatoricstressbecomes（应力偏张量）,22,3.7SphericalandDeviatoricStresses（应力球张量和应力偏张量）,.,3,23,3.8EquilibriumEquations（平衡方程）,.,24,3,3.8EquilibriumEquations（平衡方程）,.,3-D,25,3,3.8EquilibriumEquations（平衡方程）,.,26,3,3.8EquilibriumEquations（平衡方程）,.,equilibriumequationincylindricalcoordinates.（柱坐标系下的平衡方程）,27,3,3.8EquilibriumEquations（平衡方程）,.,28,3,3.8EquilibriumEquations（平衡方程）,.,3,29,Vocabularies（常用词汇）,bodyforce体力surfaceforc