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弹性力学 英文版2025|PDF|Epub|mobi|kindle电子书版本百度云盘下载
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- 伍章健,武海军,韩峰编著 著
- 出版社: 北京:北京理工大学出版社
- ISBN:9787564032678
- 出版时间:2010
- 标注页数:239页
- 文件大小:73MB
- 文件页数:250页
- 主题词:弹性力学-双语教学-高等学校-教材-英文
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图书目录
CHAPTER 1 BASIC ASSUMPTIONS AND MATHEMATICAL PRELIMINARIES1
1.1 Introduction1
1.2 Basic Assumptions2
1.3 Coordinate Systems and Transformations4
1.4 Vector and Matrix Notations and Their Operations5
1.5 Divergence Theorem8
Problems/Tutorial Questions9
CHAPTER 2 STRESSES10
2.1 Stress and the Stress Tensor10
2.2 Equilibrium Equations14
2.3 Traction Boundary Conditions15
2.4 Stresses on an Oblique Plane17
2.5 Principal Stresses18
2.6 Stationary and Octahedral Shear Stresses22
2.7 Equilibrium Equations in Curvilinear Coordinates25
Problems/Tutorial Questions27
CHAPTER 3 STRAINS30
3.1 Strains30
3.2 Finite Deformations33
3.3 Strains in a Given Direction and Principal Strains39
3.4 Stationary Shear Strains43
3.5 Compatibility45
3.6 Kinematic and Compatibility Equations in Curvilinear Coordinates47
3.7 Concluding Remarks50
Problems/Tutorial Questions51
CHAPTER 4 FORMULATION OF ELASTICITY PROBLEMS54
4.1 Strain Energy Density Function54
4.2 Generalised Hooke's Law58
4.3 Initial Stresses and Initial Strains72
4.4 Governing Equations and Boundary Conditions73
4.5 General Solution Techniques75
4.6 St.Venant's Principle76
Problems/Tutorial Questions77
CHAPTER 5 TWO-DIMENSIONAL ELASTICITY80
5.1 Plane Strain Problems80
5.2 Plane Stress Problems83
5.3 Similarities and Differences Between Plane Strain/Plane Stress Problems86
5.4 Airy Stress Function and Polynomial Solutions86
5.5 Polar Coordinates93
5.6 Axisymmetric Stress Distributions96
5.7 Rotating Discs99
5.8 Stresses Around a Circular Hole in a Plate Subjected to Equal Biaxial Tension-Compression(Pure Shear in the 45°Direction)103
5.9 Stress Concentration Around a Circular Hole in a Plate Subjected to Uniaxial Tension105
5.10 Concluding Remarks107
Problems/Tutorial Questions107
CHAPTER 6 TORSION OF BARS114
6.1 Torsion of Bars in Strength of Materials114
6.2 Warping114
6.3 Prandtl's Stress Function119
6.4 Torque120
6.5 Bars of Circular and Elliptical Cross-Sections121
6.6 Thin-Walled Structures in Torsion124
6.7 Analogies127
Problems/Tutorial Questions128
CHAPTER 7 BENDING OF BARS130
7.1 Bending Theory in Strength of Materials130
7.2 Elasticity Formulation of Bending of Bars131
7.3 Stress Resultants and Shear Centre135
7.4 Bending of a Bar of a Circular Cross-Section136
7.5 Bending of a Bar of an Elliptical Cross-Section137
7.6 Analogies138
Problems/Tutorial Questions139
CHAPTER 8 THE STATE SPACE METHOD OF 3D ELASTICITY140
8.1 Concept of State and State Variables140
8.2 Solution for a Linear Time-Invariant System142
8.3 Calculation of e[A]t144
8.4 Solution of Linear Time-Variant System149
8.5 State Variable Equation of Elasticity153
8.6 Application of State Space Method157
8.7 Conclusions166
Problems/Tutorial Questions166
CHAPTER 9 BENDING OF PLATES168
9.1 Love-Kirchhoff Hypotheses168
9.2 The Displacement Fields169
9.3 Strains and Generalised Strains170
9.4 Bending Moments171
9.5 The Governing Equation172
9.6 Generalised Forces173
9.7 Boundary Conditions175
9.8 Rectangular Plates179
9.9 Circular Plates183
Problems/Tutorial Questions188
CHAPTER 10 ENERGY PRINCIPLES191
10.1 Introduction191
10.2 Work,Strain Energy and Strain Complementary Energy191
10.3 Principle of Virtual Work197
10.4 Application of the Principle of Virtual Work200
10.5 The Reciprocal Law of Betti201
10.6 Principle of Minimum Potential Energy203
10.7 Principle of Virtual Complementary Work205
10.8 Principle of Minimum Complementary Energy207
10.9 Castigliano's Theorems208
10.10 Application of the Principles of Minimum Strain Energy211
10.11 Rayleigh-Ritz Method213
Problems/Tutorial Questions216
CHAPTER 11 SPECIAL TOPICS FOR ELASTICITY219
11.1 Thermal Elasticity219
11.2 Propagation of Elastic Waves226
11.3 Strength Theory,Crack and Fracture230
Problems/Tutorial Questions236
REFERENCES238
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