国际著名力学图书·影印版系列：弹性理论
目 录内容简介
Preface to the Third Edition .
Preface to the Second Edition
Preface to the First Edition
Notation
Chapter 1 Introduction
1. Elasticity
2. Stress
3. Notation for Forces and Stresses
4. Componts of Stress
5. Components of Strain
6. Hookes Law
7. Index Notation
problems
Chapter 2 Plane Stress and Plane Strain
8. Plane Stree
9. Plane Stain
10. Stress at a Point
11. Strain at a Point
12. Measurement of Surface Strains
13. Construction of Mohr Strain Circle for Strain Rosette
14. Differential Epuations of Equilibrium
15. Boundary Conditions
16. Compatibility Equations
17 Stress Function
Problems
Chapter 3 Two dimensional Problems in Rectangular Coordinates
18. Solution by Polynomials
19. End Effects. Saint-Venants Principle
20. Determination of Displacements
21. Bending of a Cantilever Loaded at the End
22. Bending of a Beam by Uniform Load
23. Other Cases of Continuously Loaded Beams
24. Solution of the Two-dimensional Problem in the Form of a Fourier Series
25. Other Applications of Fourier Series. Gravity Loading
26. End Effects. Eigensolutions Problems
Chapter 4 Two-dimensional Problems in Polar Coordinates
27. General Equations in Polar Coordinates
28. Stress Distribution Symmetrical about an Axis
29. Pure Bending of Curved Bars
30. Strain Components in Polar Coordinates
31. Displacements for Symmetrical Stress Distributions
32. Rotating Disks
33. Bending of a Curved Bar by a Force at the End
34. Edge Dislocation
35. The Effect of Circular Holes on Stress Distributions in Plates
36. Concentrated Force at a Point of a Straight Boundary
37. Any Vertical Loading of a Straight Boundary
38. Force Acting on the End of a Wedge
39. Bending Couple Acting on the End of a Wedge
40. Concentrated Force Acting on a Beam
41. Stresses in a Circular Disk
42. Force at a Point of an Infinite Plate
43. Generalized Solution of the Two-dimensional Problem in Polar Coordinates
44. Applications of the Generalized Solution in Polar Coordinates
45. A Wedge Loaded along the Faces
46. Eigensolutions for Wedges and Notches Problems
Chapter 5 Phetoelastic and Moire Experimental Methods
47. Experimental Methods and Verifications
48. Photoelastic Stress Measurement
49. Circular Polariscope
50. Examples of Photoelastic Stress Determination
51. Determination of the Principal Stresses
52. Three-dimensional Photoelasticity
53. The Moire Method
Chapter 6 Two-dimensional Problems in Curvilinear Coordinates
54. Functions of a Complex Variable
55. Analytic Functions and Laplaces Equation Problems
56. Stress Functions in Terms of Harmonic and Complex Functions
57. Displacement Corresponding to a Given Stress Function
58. Stress and Displacement in Terms of Complex Potentials
59. Resultant of Stress on a Curve. Boundary Conditions
60. Curvilinear Coordinates
61. Stress Components in Curvilinear Coordinates Problems
62. Solutions in Elliptic Coordinates. Elliptic Hole in Uniformly Stressed Plate
63. Elliptic Hole in a Plate under Simple Tension
64. Hyperbolic Boundaries. Notches
65. Bipolar Coordinates
66. Solutions in Bipolar Coordinates Other Curvilinear Coordinates Assignable Shapes
67. Determination of the Complex Potentials from Given Boundary Conditions. Methods of Muskhelishvili
68. Formulas for the Complex Potentials
69. Properties of Stress and Deformation Corresponding to Complex Poten-tials Analytic in the Material Region around a Hole
70. Theorems on Boundary Integrals
71. A Mapping Function w for the Eliptic Hole The Second Toundary
72. The Elliptic Hole. Formula for ψ(ξ)
73. The Elliptic Hole. Particular Problems Problems
Chapter 7 Analysis of Stress and Strain in Three Dimensions
74. Introduction
75. Principal Stresses
76. Stress Ellipsoid and Stress-director Surface
77. Determination of the Principal Stresses
78. Stress Invariants
79. Determination of the Maximum Shearing Stress
80. Homogeneous Deformation
81. Strain at a Point
82. Principal Axes of Strain
83. Rotation
Problems
Chapter 8 General Theorems
84. Differential Equations of Equilibrium
85. Conditions of Compatibility
86. Determination of Displacements
87. Equations of Equilibrium in Terms of Displacements .
88. General Solution for the Displacements
89. The Principal of Superposition
90. Strain Energy
91. Strain Energy of an Edge Dislocation
92. Principle of Virtual Work
93. Castiglianos Theorem
94. Applications of the Principle of Least Work
95. Effective Width of Wide Beam Flanges Problems
96. Uniqueness of Solution
97. The Reciprocal Theorem
98. Approximate Character of the Plane Stress Solutions
Problems
Chapter 9 Elementary Problems of Elasticity in Three Dimensions
99. Uniform Stress
100. Stretching of a Prismatical Bar by Its Own Weight
101. Twist of Circular Shafts of Constant Cross Section
102. Pure Bending of Prismatical Bars
103. Pure Bending of Plates
Chapter 10 Torsion
104. Torsion of Straight Bars
105. Elliptic Cross Section
106. Other Elementary Solutions
107. Membrane Analogy
108. Torsion of a Bar of Narrow Rectangular Cross Section
109. Torsion of Rectangular Bars
110. Additional Results
111. Solution of Torsional Problems by Energy Method
112. Torsion of Rolled Profile Sections
113. Experimental Analogies
114. Hydrodynamical Analogies
115. Torsion of Hollow Shafts
116. Torsion of Thin Tubes
117. Screw Dislocations
118. Torsion of a Bar in Which One Cross Section Remains Plane
119. Torsion of Circular Shafts of Variable Diameter Problems
Chapter 11 Bending of Bars
120. Bending of a Cantilever
121. Stress Function
122. Circular Cross Section
123. Elliptic Cross Section
124. Rectangular Cross Section
125. Additional Results
126. Nonsymmetrical Cross Sections
127. Shear Center
128. The Solution of Bending Problems by the Soap-film Method
129. Displacements
130. Further Investigations of Bending
Chapter 12 Axisymmetric Stress and Deformation in a Solid of Revolution
131. General Equations
132. Solution by Polynomials
133. Bending of a Circular Plate
134. The Rotating Disk as a Three-dimensional
Problem
135. Force at a Point in an Infinite Solid
136. Spherical Container under Internal or External Uniform Pressure
137. Local Stresses around a Spherical Cavity
138. Force on Boundary of a Semi-infinite Body
139. Load Distributed over a Part of the Boundary of a Semi-infinite Solid
140. Pressure between Two Spherical Bodies in Contact
141. Pressure between Two Bodies in Contact. More General Case
142. Impact of Spheres
143. Symmetrical Deformation of a Circular Cylinder
144. The Circular Cylinder with a Band of Pressure
145. Boussinesqs Solution in Two Harmonic Functions
146. The Helical Spring under Tension (Screw Dislocation in a Ring)
147. Pure Bending of an Incomplete Ring
Chapter 13 Thermal Stress
148. The Simplest Cases of Thermal Stress Distribution. Method of Strain Suppression
Problems
149. Longitudinal Temperature Variation in a Strip
150. The Thin Circular Disk： Temperature Symmetrical about Center
151. The Long Circular Cylinder Problems
152. The Sphere
153. General Equations
154. Thermoelastic Reciprocal Theorem
155. Overall Thermoelastic Deformations. Arbitrary Temperature Distribution
156. Thermoelastic Displacement. Maisels Integral Solution Problems
157. Initial Stress
158. Total Volume Change Associated with Initial Stress
159. Plane Strain and Plane Stress. Method of Strain Suppression
160. Two-dimensional Problems with Steady Heat Flow
161. Thermal Plane Stress Due to Disturbance of Uniform Heat Flow by an Insulated Hole
162. Solutions of the General Equations. Thermoelastic Displacement Potential
163. The General Two-dimensional Problem for Circular Regions
164. The General Two-dimensional Problem in Complex Potentials
Chapter 14 The Propagation of Waves in Elastic Solid Media
165. Introduction
166. Waves of Dilatation and Waves of Distortion in Isotropic Elastic Media
167. Plane Waves
168. Longitudinal Waves in Uniform Bars. Elementary Theory
169. Longitudinal Impact of Bars
170. Rayleigh Surface Waves
171. Spherically Symmetric Waves in the Infinite Medium
172. Explosive Pressure in a Spherical Cavity
Appendix The Application of Finite-difference Equations in Elasticity
1. Derivation of Finite Difference Equations
2. Methods of Successive AI)proximation
3. Relaxation Method
4. Triangular and Hexagonal Nets
5. Block and Group Relaxation
6. Torsion of Bars with Multiply-connected Cross Sections
7. Points Near the Boundary
8. Biharmonic Equation
9. Torsion of Circular Shafts of Variable Diameter
10. Solutions by Digital Computer
Name Index
Subject index
Preface to the Second Edition
Preface to the First Edition
Notation
Chapter 1 Introduction
1. Elasticity
2. Stress
3. Notation for Forces and Stresses
4. Componts of Stress
5. Components of Strain
6. Hookes Law
7. Index Notation
problems
Chapter 2 Plane Stress and Plane Strain
8. Plane Stree
9. Plane Stain
10. Stress at a Point
11. Strain at a Point
12. Measurement of Surface Strains
13. Construction of Mohr Strain Circle for Strain Rosette
14. Differential Epuations of Equilibrium
15. Boundary Conditions
16. Compatibility Equations
17 Stress Function
Problems
Chapter 3 Two dimensional Problems in Rectangular Coordinates
18. Solution by Polynomials
19. End Effects. Saint-Venants Principle
20. Determination of Displacements
21. Bending of a Cantilever Loaded at the End
22. Bending of a Beam by Uniform Load
23. Other Cases of Continuously Loaded Beams
24. Solution of the Two-dimensional Problem in the Form of a Fourier Series
25. Other Applications of Fourier Series. Gravity Loading
26. End Effects. Eigensolutions Problems
Chapter 4 Two-dimensional Problems in Polar Coordinates
27. General Equations in Polar Coordinates
28. Stress Distribution Symmetrical about an Axis
29. Pure Bending of Curved Bars
30. Strain Components in Polar Coordinates
31. Displacements for Symmetrical Stress Distributions
32. Rotating Disks
33. Bending of a Curved Bar by a Force at the End
34. Edge Dislocation
35. The Effect of Circular Holes on Stress Distributions in Plates
36. Concentrated Force at a Point of a Straight Boundary
37. Any Vertical Loading of a Straight Boundary
38. Force Acting on the End of a Wedge
39. Bending Couple Acting on the End of a Wedge
40. Concentrated Force Acting on a Beam
41. Stresses in a Circular Disk
42. Force at a Point of an Infinite Plate
43. Generalized Solution of the Two-dimensional Problem in Polar Coordinates
44. Applications of the Generalized Solution in Polar Coordinates
45. A Wedge Loaded along the Faces
46. Eigensolutions for Wedges and Notches Problems
Chapter 5 Phetoelastic and Moire Experimental Methods
47. Experimental Methods and Verifications
48. Photoelastic Stress Measurement
49. Circular Polariscope
50. Examples of Photoelastic Stress Determination
51. Determination of the Principal Stresses
52. Three-dimensional Photoelasticity
53. The Moire Method
Chapter 6 Two-dimensional Problems in Curvilinear Coordinates
54. Functions of a Complex Variable
55. Analytic Functions and Laplaces Equation Problems
56. Stress Functions in Terms of Harmonic and Complex Functions
57. Displacement Corresponding to a Given Stress Function
58. Stress and Displacement in Terms of Complex Potentials
59. Resultant of Stress on a Curve. Boundary Conditions
60. Curvilinear Coordinates
61. Stress Components in Curvilinear Coordinates Problems
62. Solutions in Elliptic Coordinates. Elliptic Hole in Uniformly Stressed Plate
63. Elliptic Hole in a Plate under Simple Tension
64. Hyperbolic Boundaries. Notches
65. Bipolar Coordinates
66. Solutions in Bipolar Coordinates Other Curvilinear Coordinates Assignable Shapes
67. Determination of the Complex Potentials from Given Boundary Conditions. Methods of Muskhelishvili
68. Formulas for the Complex Potentials
69. Properties of Stress and Deformation Corresponding to Complex Poten-tials Analytic in the Material Region around a Hole
70. Theorems on Boundary Integrals
71. A Mapping Function w for the Eliptic Hole The Second Toundary
72. The Elliptic Hole. Formula for ψ(ξ)
73. The Elliptic Hole. Particular Problems Problems
Chapter 7 Analysis of Stress and Strain in Three Dimensions
74. Introduction
75. Principal Stresses
76. Stress Ellipsoid and Stress-director Surface
77. Determination of the Principal Stresses
78. Stress Invariants
79. Determination of the Maximum Shearing Stress
80. Homogeneous Deformation
81. Strain at a Point
82. Principal Axes of Strain
83. Rotation
Problems
Chapter 8 General Theorems
84. Differential Equations of Equilibrium
85. Conditions of Compatibility
86. Determination of Displacements
87. Equations of Equilibrium in Terms of Displacements .
88. General Solution for the Displacements
89. The Principal of Superposition
90. Strain Energy
91. Strain Energy of an Edge Dislocation
92. Principle of Virtual Work
93. Castiglianos Theorem
94. Applications of the Principle of Least Work
95. Effective Width of Wide Beam Flanges Problems
96. Uniqueness of Solution
97. The Reciprocal Theorem
98. Approximate Character of the Plane Stress Solutions
Problems
Chapter 9 Elementary Problems of Elasticity in Three Dimensions
99. Uniform Stress
100. Stretching of a Prismatical Bar by Its Own Weight
101. Twist of Circular Shafts of Constant Cross Section
102. Pure Bending of Prismatical Bars
103. Pure Bending of Plates
Chapter 10 Torsion
104. Torsion of Straight Bars
105. Elliptic Cross Section
106. Other Elementary Solutions
107. Membrane Analogy
108. Torsion of a Bar of Narrow Rectangular Cross Section
109. Torsion of Rectangular Bars
110. Additional Results
111. Solution of Torsional Problems by Energy Method
112. Torsion of Rolled Profile Sections
113. Experimental Analogies
114. Hydrodynamical Analogies
115. Torsion of Hollow Shafts
116. Torsion of Thin Tubes
117. Screw Dislocations
118. Torsion of a Bar in Which One Cross Section Remains Plane
119. Torsion of Circular Shafts of Variable Diameter Problems
Chapter 11 Bending of Bars
120. Bending of a Cantilever
121. Stress Function
122. Circular Cross Section
123. Elliptic Cross Section
124. Rectangular Cross Section
125. Additional Results
126. Nonsymmetrical Cross Sections
127. Shear Center
128. The Solution of Bending Problems by the Soap-film Method
129. Displacements
130. Further Investigations of Bending
Chapter 12 Axisymmetric Stress and Deformation in a Solid of Revolution
131. General Equations
132. Solution by Polynomials
133. Bending of a Circular Plate
134. The Rotating Disk as a Three-dimensional
Problem
135. Force at a Point in an Infinite Solid
136. Spherical Container under Internal or External Uniform Pressure
137. Local Stresses around a Spherical Cavity
138. Force on Boundary of a Semi-infinite Body
139. Load Distributed over a Part of the Boundary of a Semi-infinite Solid
140. Pressure between Two Spherical Bodies in Contact
141. Pressure between Two Bodies in Contact. More General Case
142. Impact of Spheres
143. Symmetrical Deformation of a Circular Cylinder
144. The Circular Cylinder with a Band of Pressure
145. Boussinesqs Solution in Two Harmonic Functions
146. The Helical Spring under Tension (Screw Dislocation in a Ring)
147. Pure Bending of an Incomplete Ring
Chapter 13 Thermal Stress
148. The Simplest Cases of Thermal Stress Distribution. Method of Strain Suppression
Problems
149. Longitudinal Temperature Variation in a Strip
150. The Thin Circular Disk： Temperature Symmetrical about Center
151. The Long Circular Cylinder Problems
152. The Sphere
153. General Equations
154. Thermoelastic Reciprocal Theorem
155. Overall Thermoelastic Deformations. Arbitrary Temperature Distribution
156. Thermoelastic Displacement. Maisels Integral Solution Problems
157. Initial Stress
158. Total Volume Change Associated with Initial Stress
159. Plane Strain and Plane Stress. Method of Strain Suppression
160. Two-dimensional Problems with Steady Heat Flow
161. Thermal Plane Stress Due to Disturbance of Uniform Heat Flow by an Insulated Hole
162. Solutions of the General Equations. Thermoelastic Displacement Potential
163. The General Two-dimensional Problem for Circular Regions
164. The General Two-dimensional Problem in Complex Potentials
Chapter 14 The Propagation of Waves in Elastic Solid Media
165. Introduction
166. Waves of Dilatation and Waves of Distortion in Isotropic Elastic Media
167. Plane Waves
168. Longitudinal Waves in Uniform Bars. Elementary Theory
169. Longitudinal Impact of Bars
170. Rayleigh Surface Waves
171. Spherically Symmetric Waves in the Infinite Medium
172. Explosive Pressure in a Spherical Cavity
Appendix The Application of Finite-difference Equations in Elasticity
1. Derivation of Finite Difference Equations
2. Methods of Successive AI)proximation
3. Relaxation Method
4. Triangular and Hexagonal Nets
5. Block and Group Relaxation
6. Torsion of Bars with Multiply-connected Cross Sections
7. Points Near the Boundary
8. Biharmonic Equation
9. Torsion of Circular Shafts of Variable Diameter
10. Solutions by Digital Computer
Name Index
Subject index
目 录内容简介
《弹性理论》是弹性理论世界名著和经典教材。全书共十四章，包括绪论、平面应力和平面应变、直角坐标中的二维问题、极坐标中的二维问题、光弹性与云纹实验方法、曲线坐标中的二维问题、三维应力和应变问题、一般定理、简单的三维弹性问题、扭转、杆的弯曲、回转体中的轴对称应力和变形、热应力、弹性固体介质中波的传播，最后有一附录，讲述差分方程在弹性理论中的应用。书中附有习题供读者练习，还附有大量注释文献引导读者对相关问题作更为深入的研究。
《弹性理论》可作为高等学校弹性力学课程的英文教科书或教学参考书，也是科研与工程技术人员值得珍藏的世界名著。
《弹性理论》可作为高等学校弹性力学课程的英文教科书或教学参考书，也是科研与工程技术人员值得珍藏的世界名著。
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