| 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。 |
| 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 |
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