弹性力学与有限元讲稿.ppt

文档介绍：弹性力学与有限单元法
Theory of Elasticity and Finite Element Method
广西大学土木建筑工程学院
Institute of Civil and Architectural Engineering
Of Guangxi University
林育樑
Lin Yuliang
目录
CONTENTS
CHAPTER 1. 绪论(INTRODUCTION ) (1)
§ 弹性力学的内容(Contents of Theory
of Elasticity ) (1)
§ 弹性力学中的一些基本概念(Some Basic
Concepts in Theory of Elasticity ) (2)
§ 弹性力学中的基本假定(Basic Assumptions
in Theory of Elasticity ) (7)
习题(Problems) (9)
CHAPTER 2. 平面问题的基本理论(THEORY OF  PLANE PROBLEMS ) (10) § 平面问题和平面应变(Plane Stress and  Plane Strain (10) § 平衡微分方程(Differential Equations of Equilibrium (13) § 平面问题中一点的应力状态、主应力 ( The State of Stress at a Point. Principal
Stresses ) (15) § 几何方程刚体位移
(Geometrical Equations. Rigid-Body Displacements ) (19) § 物理方程(Physical Equations ) (22) § 边界条件(Boundary Conditions ) (24)
§ 圣微南原理(Saint-Venant’s Principle ) (26)§ 按位移求解平面问题(Solution of Plane
Problem in Terms of Displacements (30) § 按应力求解平面问题相容方程
(Solution of Plane Problem in Terms of Stresses.
Compatibility Equations ) (33) § 常体力情况下的简化应力函数
(Case of Constant Body Forces. Stress Function)
(36)习题Problems (40)
CHAPTER (SOLUTION OF PLANE PROBLEMS IN  RECTANGULAR COORDINATES (45)  § 逆解法与半逆解法多项式解法 (Inverse Method and Semi-Inverse Method.  Solution by Polynomials (45)  § 矩形梁的纯弯曲(Pure Bending of a rectangle Beam (47) § 位移的确定(Determina