文档介绍：Chapter 1 Introduction
Elasticity
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第一章绪论
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Chapter 1 Introduction
§1-1 The Modeling of the Engineering Mechanics Problem
§1-3 The Basic Assumption of the Elasticity Problem
§1-4 The Several Basic Concepts of Elasticity
§1-5 The Study Method of the Elasticity
§1-2 The Basic Contents of the Elasticity
Exercises Lesson
Introduction
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第一章绪论
§1-1 工程力学问题的建模
§1-3 弹性力学问题的基本假设
§1-4 弹性力学中的几个基本概念
§1-5 弹性力学的学习方法
§1-2 弹性力学的基本内容
习题课
绪论
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Introduction
The elasticity is a branch of the solid mechanics, the task of it is to research the elasticity object’s stress, deformation and displacement due to external force or change of temperature.
The elasticity is the foundation of studying plasticity, fracture mechanics and finite element method.
This course shows the mathematics modeling process of mechanics pletely, and establishes the basic equation and boundary condition of the elasticity and proceeds to beg the solutions of some problem. The foundation of the elasticity basic equation lays a foundation for further number method.
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绪论
弹性力学是固体力学的一个分支,研究弹性体由于外力作用或温度改变等原因而发生的应力、形变和位移。
弹性力学是学习塑性力学、断裂力学、有限元方法的基础。
本课程较为完整的表现了力学问题的数学建模过程,建立了弹性力学的基本方程和边值条件,并对一些问题进行了求解。弹性力学基本方程的建立为进一步的数值方法奠定了基础。
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Introduction
Through the process of establishing the mechanics model in the engineering mechanics problem, generally three parts should be simplified:
Suffering Force Simplification
Material Simplification
Construction Simplification
1、The Modeling Process of the Engineering Mechanics Problem
§1-1 The Modeling of the
Engineering Mechanics Problem
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绪论
工程力学问题建立力学模型的过程中,一般要对三方面进行简化:
受力简化
材料简化
结构简化
一、工程力学问题的建模过程
§1-1 工程力学问题的建模
图1-1
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Introduction
Material is simplified according to these hypothesises of the same kind, consecution and uniformity in each direction.
(3)Material simplification
According to the Saint-Venant’s principle, plex force system is simplified to an equivalent force system.
(2)Suffering Force Simplification
Such as spa