文档介绍：Chapter 2 The Basic Theory
Elasticity
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第二章平面问题的基本理论
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The Basic Theory of the Plane Problem
Chapter 2 The Basic theory of the Plane Problem
§2-11 Stress 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 stress
§2-4 Geometrical 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 patible equation
§2-10 The simplification under the circumstances of ordinary physical
force
Exercise Lesson
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平面问题的基本理论
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
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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 ,when both the shape and force circumstance of the elastic body for investigating have their own certain 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 the same time,so does the volumetric force.
σz = 0 τzx = 0 τzy = 0
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The Basic Theory of the Plane Problem
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一、平面应力问题
§2-1 平面应力问题与平面应变问题
在实际问题中,任何一个弹性体严格地说都是空间物体,它所受的外力一般都是空间力系。但是,当所考察的弹性体的形状和受力情况具有一定特点时,只要经过适当的简化和力学的抽象处理,就可以归结为弹性力学平面问题。
平面问题分为平面应力问题和平面应变问题。
等厚度薄板,板边承受平行于板面并且不沿厚度变化的面力,同时体力也平行于板面并且不沿厚度变化。
σz = 0 τzx = 0 τzy = 0
图2-1