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书名 ELASTICITY(21世纪普通高等教育规划教材)
分类 科学技术-自然科学-物理
作者 伍章健//武海军//韩峰
出版社 北京理工大学出版社
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简介
目录

CHAPTER 1 BASIC ASSUMPTIONS AND MATHEMATICAL PRELIMINARIES

 1.1 Introduction

 1.2 Basic Assumptions

 1.3 Coordinate Systems and Transformations

 1.4 Vector and Matrix Notations and Their Operations

 1.5 Divergence Theorem

 Problems/Tutorial Questions

CHAPTER 2 STRESSES

 2.1 Stress and the Stress Tensor

 2.2 Equilibrium Equations

 2.3 Traction Boundary Conditions

 2.4 Stresses on an Oblique Plane

 2.5 Principal Stresses

 2.6 Stationary and Octahedral Shear Stresses

 2.7 Equilibrium Equations in Curvilinear Coordinates

 Problems/Tutorial Questions

CHAPTER 3 STRAINS

 3.1 Strains

 3.2 Finite Deformations

 3.3 Strains in a Given Direction and Principal Strains

 3.4 Stationary Shear Strains

 3.5 Compatibility

 3.6 Kinematic and Compatibility Equations in Curvilinear Coordinates

 3.7 Concluding Remarks

 Problems/Tutorial Questions

CHAPTER 4 FORMULATION OF ELASTICITY PROBLEMS

 4.1 Strain Energy Density Function

 4.2 GeneralisedHooke's Law

 4.3 Initial Stresses and Initial Strains

 4.4 Governing Equations and Boundary Conditions

 4.5 General Solution Techniques

 4.6 St. Venant's Principle

 Problems/Tutorial Questions

CHAPTER 5 TWO-DIMENSIONAL ELASTICITY

 5.1 Plane Strain Problems

 5.2 Plane Stress Problems

 5.3 Similarities and Differences Between Plane Strain/Plane Stress Problems

 5.4 Airy Stress Function and Polynomial Solutions

 5.5 Polar Coordinates

 5.6 Axisymmetric Stress Distributions

 5.7 Rotating Discs

 5.8 Stresses Around a Circular Hole in a Plate Subjected to Equal Biaxial Tension-Compression (Pure Shear in the 45° Direction)

 5.9 Stress Concentration Around a Circular Hole in a Plate Subjected to Uniaxial Tension

 5.10 Concluding Remarks

 Problems/Tutorial Questions

CHAPTER 6 TORSION OF BARS

 6.1 Torsion of Bars in Strength of Materials

 6.2 Warping

 6.3 Prandtl's Stress Function

 6.4 Torque

 6.5 Bars of Circular and Elliptical Cross-Sections

 6.6 Thin-Walled Structures in Torsion

 6.7 Analogies

 Problems/Tutorial Questions

CHAPTER 7 BENDING OF BARS

 7.1 Bending Theory in Strength of Materials

 7.2 Elasticity Formulation of Bending of Bars

 7.3 Stress Resultants and Shear Centre

 7.4 Bending of a Bar of a Circular Cross-Section

 7.5 Bending of a Bar of an Elliptical Cross-Section

 7.6 Analogies

 Problems/Tutorial Questions

CHAPTER 8 THE STATE SPACE METHOD OF 3D ELASTICITY

 8.1 Concept of State and State Variables

 8.2 Solution for a Linear Time-Invariant System

 8.3 Calculation of e[A]t

 8.4 Solution of Linear Time-Variant System

 8.5 State Variable Equation of Elasticity

 8.6 Application of State Space Method

 8.7 Conclusions

 Problems/Tutorial Questions

CHAPTER 9 BENDING OF PLATES

 9.1 Love-KirchhoffHypotheses

 9.2 The Displacement Fields

 9.3 Strains and Generalised Strains

 9.4 Bending Moments

 9.5 The Governing Equation

 9.6 Generalised Forces

 9.7 Boundary Conditions

 9.8 Rectangular Plates

 9.9 Circular Plates

 Problems/Tutorial Questions

CHAPTER 10 ENERGY PRINCIPLES

 10.1 Introduction

 10.2 Work, Strain Energy and Strain Complementary Energy

 10.3 Principle of Virtual Work

 10.4 Application of the Principle of Virtual Work

 10.5 The Reciprocal Law of Betti

 10.6 Principle of Minimum Potential Energy

 10.7 Principle of Virtual Complementary Work

 10.8 Principle of Minimum Complementary Energy

 10.9 Castigliano's Theorems

 10.10 Application of the Principles of Minimum Strain Energy

 10.11 Rayleigh-Ritz Method

 Problems/Tutorial Questions

CHAPTER 11 SPECIAL TOPICS FOR ELASTICITY

 11.1 Thermal Elasticity

 11.2 Propagation of Elastic Waves

 11.3 Strength Theory, Crack and Fracture

 Problems/Tutorial Questions

REFERENCES

内容推荐

The purpose of this book is to introduce the basic knowledge about the classic elasticity theories and the associated research achievements by the authors. The whole book is constructed on the basis of the course syllabuses and the con-tents of elasticity used in the past few years at Beijing Institute of Technology, China and the University of Manchester,UK. In order to meet the requirement of bilingual pedagogic development in higher education, and with reference tosome classic textbooks on elasticity and newly-obtained teaching and learning outputs, such a content arrangement of this book can currently be more appropriate and convenient for readers to study elasticity under the dual-language environment.

By reading this book as well as other relevant Chinese-version textbooks, the readers should be able to com-mand the fundamental knowledge of elasticity, comprehend some related standard technical terms and enhance their level of professional English. The book is intended for senior undergraduate and postgraduate engineering students,especially for engineering mechanics students, of higher education engineering institutes. It can also be consideredas an English reference for engineers, researchers and novices.

编辑推荐

本书主要介绍弹性力学的经典内容和作者的最新研究成果,整个结构体系综合了北京理工大学和英国曼彻斯特大学多年来在弹性力学教学中的大纲、内容和成果。为适应当前高等教育对双语教学的发展需求,本书内容的安排和撰写参考了相关专业的经典著作和最新教研成果。

通过使用和阅读本书,并结合相关专业的中文版教材,读者能够学到弹性力学的基础知识,标准术语,提高专业英语能力。本书可作为工科类高等院校力学专业的高年级本科生和研究生双语课的教材,还可作为相关领域工程师、研究人员和初学者的专业英语参考书。

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