The purpose of this book is to
introduce the basic knowledge about the classic elasticity theories
and the associated research achievements by the autho. The whole
book is cotructed on the basis of the coue syllabuses and the
con-tents of elasticity used in the past few yea at Beijing Ititute
of Technology, China and the Univeity 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 reade to study elasticity under the
dual-language environment. By reading this book as well as other
relevant Chinese- veion textbooks, the reade 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 ititutes. It
can also be coideredas an English reference for enginee, researche
and novices.
目錄：
CHAPTER 1 BASIC ASSUMPTIONS AND MATHEMATICAL PRELIMINARIES
1.1 Introduction
1.2 Basic Assumptio
1.3 Coordinate Systems and Traformatio
1.4 Vector and Matrix Notatio and Their Operatio
1.5 Divergence Theorem
ProblemsTutorial Questio
CHAPTER 2 STRESSES
2.1 Stress and the Stress Teor
2.2 Equilibrium Equatio
2.3 Traction Boundary Conditio
2.4 Stresses on an Oblique Plane
2.5 Principal Stresses
2.6 Stationary and Octahedral Shear Stresses
2.7 Equilibrium Equatio in Curvilinear Coordinates
ProblemsTutorial Questio
CHAPTER 3 STRAINS
3.1 Strai
3.2 Finite Deformatio
3.3 Strai in a Given Direction and Principal Strai
3.4 Stationary Shear Strai
3.5 Compatibility
3.6 Kinematic and Compatibility Equatio in Curvilinear
Coordinates
3.7 Concluding Remarks
ProblemsTutorial Questio
CHAPTER 4 FORMULATION OF ELASTICITY PROBLEMS
4.1 Strain Energy Deity Function
4.2 GeneralisedHooke''s Law
4.3 Initial Stresses and Initial Strai
4.4 Governing Equatio and Boundary Conditio
4.5 General Solution Techniques
4.6 St. Venant''s Principle
ProblemsTutorial Questio
CHAPTER 5 TWO-DIMENSIONAL ELASTICITY
5.1 Plane Strain Problems
5.2 Plane Stress Problems
5.3 Similarities and Differences Between Plane StrainPlane
Stress Problems
5.4 Airy Stress Function and Polynomial Solutio
5.5 Polar Coordinates
5.6 Axisymmetric Stress Distributio
5.7 Rotating Discs
5.8 Stresses Around a Circular Hole in a Plate Subjected to
Equal Biaxial Teion-Compression （Pure Shear in the 45° Direction）
5.9 Stress Concentration Around a Circular Hole in a Plate
Subjected to Uniaxial Teion
5.10 Concluding Remarks
ProblemsTutorial Questio
CHAPTER 6 TORSION OF BARS
6.1 Toion of Ba in Strength of Materials
6.2 Warping
6.3 Prandtl''s Stress Function
6.4 Torque
6.5 Ba of Circular and Elliptical Cross-Sectio
6.6 Thin-Walled Structures in Toion
6.7 Analogies
ProblemsTutorial Questio
CHAPTER 7 BENDING OF BARS
7.1 Bending Theory in Strength of Materials
7.2 Elasticity Formulation of Bending of Ba
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
ProblemsTutorial Questio
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 Conclusio
ProblemsTutorial Questio
CHAPTER 9 BENDING OF PLATES
9.1 Love-KirchhoffHypotheses
9.2 The Displacement Fields
9.3 Strai and Generalised Strai
9.4 Bending Moments
9.5 The Governing Equation
9.6 Generalised Forces
9.7 Boundary Conditio
9.8 Rectangular Plates
9.9 Circular Plates
ProblemsTutorial Questio
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
ProblemsTutorial Questio
CHAPTER 11 SPECIAL TOPICS FOR ELASTICITY
11.1 Thermal Elasticity
11.2 Propagation of Elastic Waves
11.3 Strength Theory, Crack and Fracture
ProblemsTutorial Questio
REFERENCES
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