Chapter 2 The Basic Theory of the Plane problem
1 Elasticity
弹单性生力学
2
Chapter 2 The basic theory of the Plane problem 2 82-1 Plane stress problem and plane strain problem >82-2 Differential equation of equilibrium D82-3 The stress on the incline. Principalstress [32-4 Geometricalequation The displacement of the rigid body 82-5 Physicalequation D82-6 Boundary conditions [D$2-7 Saint-Venant's principle ID 82-8 Solving the plane problem according to the displacement >82-9 Solving the plane problem according to the stress. Compatible equation 82-10 The simplification under the circumstances of ordinary physical force 82-11 Stress function. Inverse solution method and semi-inverse method I Exercise lesson
3 Chapter 2 The Basic theory of the Plane Problem §2-11 Stress function.Inverse solution method and semi-inverse method §2-1 Plane stress problem and plane strain problem §2-2 Differential equation of equilibrium §2-3 The stress on the incline.Principal stress §2-4 Geometrical equation.The displacement of the rigid body §2-5 Physical equation §2-6 Boundary conditions §2-7 Saint-Venant’s principle §2-8 Solving the plane problem according to the displacement §2-9 Solving the plane problem according to the stress.Compatible equation §2-10 The simplification under the circumstances of ordinary physical force Exercise Lesson
平的签论 第二章平面问题的基本理论 §2-1平面应力问题与平面应变问题 §2-2平衡微分方程 §2-3斜面上的应力主应力 §2-4几何方程刚体位移 §2-5物理方程 习§2-6边界条件 四§2-7圣维南原理 §2-8按位移求解平面问题 §2-9按应力求解平面问题。相容方程 §2-11应力函数逆解法与半逆解法 习题课
4 第二章 平面问题的基本理论 §2-11 应力函数逆解法与半逆解法 §2-1 平面应力问题与平面应变问题 §2-2 平衡微分方程 §2-3 斜面上的应力主应力 §2-4 几何方程刚体位移 §2-5 物理方程 §2-6 边界条件 §2-7 圣维南原理 §2-8 按位移求解平面问题 §2-9 按应力求解平面问题。相容方程 §2-10 常体力情况下的简化 习题课
82-1 Plane stress problem and plane strain problem In actual problem, it is strictly saying that any elastic body whose external force for suffering is a space system of forces is generally the space object. However, when both the shape and force circumstance of the elastic body for investigating have their own certain characteristics. As long as the abstraction of the mechanics is handled together with appropriate simplification, it can be concluded as the elasticity plane problem The plane problem is divided into the plane stress problem and plane strain problem 1. Plane stress problem Equal thickness lamella bears the surface force that parallels with plate face and don t change along the thickness at the same time so does the volumetric force y 02=0x=0x2=0 Fig2-1 5
5 1.Plane stress problem §2-1 Plane stress problem and plane strain problem In actual problem,it is strictly saying that any elastic body whose external force for suffering is a space system of forces is generally the space object.However,when both the shape and force circumstance of the elastic body for investigating have their own certain characteristics.As long as the abstraction of the mechanics is handled together with appropriate simplification,it can be concluded as the elasticity plane problem. The plane problem is divided into the plane stress problem and plane strain problem. Equal thickness lamella bears the surface force that parallels with plate face and don’t change along the thickness.At the same time,so does the volumetric force. σz = 0 τzx = 0 τzy = 0 Fig.2－1