§4-1 Equilibrium Differential Equations in Polar Coordinates §4-5 Axisymmetric Stress and Its Displacement §4-2 Geometric and Physical Functions in Polar Coordinates §4-3 Stress Functions and Compatibility Equations in Polar Coordinates §4-4 Coordinates Conversion of Stress Components §4-6 Circular Ring or Cylinder under Uniform Loading Pressure §4-10 Distributed Force on the Boundary for Semi-infinite Plane Body §4-8 Stress Concentration at the Hole Edge of the Circular Hole §4-7 Pressure Tunnel §4-9 Normal Concentrated Forces on the Boundary for Semi-infinite Plane Body Exercise

§3-1 Inverse Solution Method and Semi-inverse Method. Polynomial Solution §3-3 Determination of Displacement Components §3-4 Simply Supported Beam Loaded by Uniform Load §3-5 Wedge Loaded by Gravity and Hydraulic Pressure Exercises §3-2 Pure Bending of Rectangular Beam

§2-1 Plane Stress Problem and Plane Strain Problem §2-2 Equilibrium Differential Equation §2-3 The Stress State at a Point in a Plane Problem §2-4 Geometrical Equation. The Displacement of the Rigid Body §2-5 Physical Equation §2-6 Boundary Conditions §2-7 Saint-Venant’s Principle and Its Application §2-8 Solving the Plane Problem According to the Displacement §2-9 Solving the Plane Problem According to the Stress. Compatibility Equations §2-10 The Simplification under the Constant Body Force. Stress Function

5-1应力函数的复变函数表示 5-2应力和位移的复变函数表示 5-3边界条件的复变函数表示 5-4多连通域内应力与位移的单值条件 5-5无限大多连体的情形 5-6含孔口的无限大板问题

高聚物特有的结构与性能 一、柔性和链段 二、独有的熵弹性 三、显著的粘弹性和力学行为的历史效应 四、链段的运动和玻璃化转变

Review: Inverse method逆解法 Select satisfying the compatibility equation 设定中,并满足相容方程V4φ=0(2.12.11) find the stress components by由下式求出应力分量 Txy--02d/ (2.12.10) find the surface force components by 由下式对给定坐标的物体求出面力分量

Polar coordinates极坐标 The position of a point P in polar coordinates is defined by the radial coordinate r and the angular coordinateθ. 一点P的极坐标用径向坐标r和角坐标θ表示 P(r,0) displacements:位移:urue strains:应变:

2.1 Plane stress and plane strain 平面应力问题与平面应变问题 2.2 Differential equations of equilibrium 平衡微分方程 2.3 Stress at a point. Principal stresses 一点的应力，主应力 2.4 Geometrical equations. Rigid-body displacements 一几何方程，刚体位移 Shear stress trajectories in a cantilever beam 悬臂梁的剪应力轨迹线 2.6 Physical equations. 物理方程 2.7 Boundary conditions 边界条件 2.8 Saint-venant`s principle-1 圣维南原理 2.9 solution of plane problem in terms of displacements 按位移求解平面问题 2.10 solution of plane problem in terms of stresses 按应力求解 2.11 Case of constant body forces 常体力情况 2.12 Airy`s stress function. Inverse method and semi-inverse method 艾瑞应力函数，逆解法，半 逆解法

Section 12.1 Introduction and Assumptions 引言和假定 a plate is a body bounded by two closely spaced parallel planes and one or more prismatical surfaces normal to the planes

为了确定钛合金表面扩散焊接轴承钢硬化层的合适厚度,利用先进的纳米显微力学探针测量了材料的弹性模量.采用ANSYS有限元软件,对钛合金表面扩散焊接轴承钢硬化层在受压情况下的应力分布以及尺寸稳定性进行了分析,以此对轴承钢硬化层的厚度进行了模拟.结果表明,当轴承钢硬化层厚度在0.10~0.50mm内时,最大等效应力发生在镍与铜之间,容易引起界面处裂纹的产生;合适的轴承钢硬化层厚度范围应为1.00~2.00mm,最佳的厚度为1.50mm左右