课程代码

Course Code

ME6123

* 学时

Teaching Hours

48

* 学分

Credits

3

* 课程名称

Course Name

(中文)固体力学

English Mechanics of Solids

* 授课语言

Instruction Language

英文 English

* 开课院系

School

机械与动力工程 School of Mechanical Engineering

先修课程

Prerequisite

理论力学 Theoretical Mechanics 、弹性力学 Elastic Mechanics 、有限元 Finite Element Analysis

授课教师

Instructors

姓名 Name

职称 Title

单位 Department

联系方式 E-mail





汪华苗

HuamiaoWang

副教授

Associate Professor

机械与动力工程学院

School of Mechanical Engineering

[email protected]

* 课程简介(中文) Course Description

课程介绍:固体力学是开展机械工程相关科学基础研究和工程技术应用需要掌握的重要理论基础,对于提高机械工程专业博士研究生的力学理论基础及其工程应用能力具有重要作用。本课程面向机械工程博士研究生在科学研究中的固体力学分析需求,讲授连续介质力学基本理论,包括张量分析基础、弹塑性理论、非线性有限元方法,及其在结构和工艺分析中的应用。

教学目标:学生通过学习本课程,可以掌握固体力学的一些基本概念,了解机械工程问题中数学和力学建模、求解的一般原理,初步具备对机械工程中结构和工艺问题进行建模和计算的应用能力,从而为从事机械工程科研工作奠定基础。具体目标包括:

1 )掌握材张量分析理论的基本概念、技术术语。

2 )掌握连续介质力学的基本概念和基本原理。

3 )培养应用固体力学原理解决工程问题和设计满足要求的构件或系统的能力。

* 课程简介( English Course Description

Introduction: Solid Mechanics is a fundamental subject in the field of mechanical engineering. It is important and necessary for graduate students to understand its fundamental concept and further usage in engineering applications. This course is planned to introduce the concept of solid mechanics of continua, including tensor analysis, theory of elasticity and plasticity, nonlinear finite element method and their applications.

Goals of the course After studying this course, students will be able to understand the fundamental concepts of solid mechanics, establish mathematical and mechanics models, and apply them to real engineering analysis. The content includes:

1 Basic concept and technical terms of tensor analysis.

2 Basic concept and fundamental principles of continuum mechanics.

3 Applications of solid mechanics to solve engineering problems and meet requirements in structure and system design.

* 教学安排

Schedules

教学内容 Content

授课学时

Hours

教学方式

Format

课程简介 Introduction

1

课堂教学

Lectures

张量分析基础 Basics of Tensor Analysis

6

课堂教学

Lectures

线弹性问题 Linear Elastic Problems

6

课堂教学

Lectures

大变形本构关系

Constitutive Relation of Large StrainProblem

6

课堂教学

Lectures

材料非线性有限元

Material’s Nonlinear FE

6

课堂教学

Lectures

几何非线性有限元

Geometrically Nonlinear FE

6

课堂教学

Lectures

双重非线性有限元法

Coupled Nonlinear FE

6

课堂教学

Lectures

典型仿真实例

Simulation Examples

6

上机

Practice

课程项目设计

Final Project Design

2

课程设计

Discussion

课程项目演示

Final Project Presentation

3

项目演示

Presentation

Total

48


* 考核方式 Grading Policy

考核方式:期末考试 + 课程设计

成绩评定方式:平时成绩 10

课程设计 40

期末考试 50

课程设计项目 1~2 个,期末闭卷考试。

The final score consists of homework, classroom performance and final project scores . As for the proportion of each part:

Homework and classroom performance: 30%.

Course Project: 30%.

Final Exam: 40%.

* 教材或参考资料 Textbooks &References

教材:

《张量 分析 》,黄克智,清华大学出版社, 2003

《连续体和结构的非线性有限元》, Ted Belytschko 著,庄茁译,清华大学出版社, 2002

现代计算固体力学 》,杨庆生,科学出版社, 2007

参考书目:

《计算固体力学》,刘正兴、孙雁、王国庆等,上海交通大学出版社, 2010

《有限元方法 : 固体力学》 ( 5 )( 2 ) 监凯维奇、泰勒,清华大学出版社, 2006

《张量分析简论 ( 2 ) ( 英文版 ) ,西蒙兹 (Simmonds.J.G.) ,世界图书出版公司, 2009

《非线性连续介质力学》,黄克智著,清华大学出版社, 1989

《非线性有限元法》,蒋友谅,北京理工大学出版社, 1988

Textbooks:

Tensor Analysis , Keh-Chih Hwang, Tsinghua University Press, 2003.

Nonlinear Finite Elements for Continua and Structures ,2nd Edition,Ted Belytschko, Wing Kam Liu, Brian Moran, Khalil Elkhodary, Wiley,2013.

Modern Computational Solid Mechanics ,Qingsheng Yang,Science Press,2007.

Readings

Computational Solid Mechanics ,Zhengxing Liu, Yan Sun, Guoqing Wang, etc. Shanghai Jiao Tong University Press,2010.

The Finite Element Method: Solid Mechanics (5th Edition, 2nd Volume) , R. Taylor,Tsinghua University Press,2006.

A Brief on Tensor Analysis (2nd Edition),James G. Simmonds, Springer, 2009.

Nonlinear Continuum Mechanics ,Keh-Chih Hwang,Tsinghua University Press, 1989.

Nonlinear Finite Element ,Youliang Jiang,Beijing Institute of Technology Press,1988.

备注

Notes

请做好课前预习。