弹性理论（第3版·影印版）|国际著名力学图书——影印版系列|（美）S.P.Timoshenko,J.N.Goodier|清华大学出版社

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弹性理论（第3版·影印版）

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原书名：Theory of Elasticity,Third Edition	原出版社：McGraw-Hill
作者：（美）S.P.Timoshenko,J.N.Goodier	出版社：清华大学出版社
译者：	丛书名：国际著名力学图书——影印版系列
出版日期：2004-2-1	上架日期：2005-10-8
ISBN：7302079757	页数：版次：3-1
开本：16开	装帧：

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| 大封面 | 封底 | 前言 | 内容简介 | 序言 | 目录 | 作者简介 | 译者简介 | 作者序 | 译者序 |

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内容简介
本书特色

·是弹性理论世界名著和经典教材。

·作者的宗旨是：把弹性理论中必要的基本知识以简明易懂的方式传授给工程师们。

·叙述浅入深，物理概念清晰，数学推导力求浅显。

·重视工程应用，汇集了不少实际应用中极为弹性理论典型解例。

·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深入的研究。

本书是弹性理论世界名著和经典教材。全书14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。
本书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。

目录
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Preface to the Third Edition ix
Preface to the Second Edition xi
Preface to the First Edition xiii
Notation xxv
Chapter 1    Introduction 1
1.  Elasticity   1
2.  Stress    2
3.  Notation for Forces and Stresses
4.  Components of Stress    4
5.  Components of Strain    6
6.  Hooke's Law    8
7.  Index Notation    12
Problems    14

Chapter 2    Plane Stress and Plane Strain 15
8.  Plane Stress    15
9.  Plane Strain    15
10.  Stress at a Point    17
11.  Strain at a Point    23
12.  Measurement of Surface Strains    24
13.  Construction of Mohr Strain Circle for Strain Rosette    26
14.  Differential Equations of Equilibrium    26
15.  Boundary Conditions    28
16.  Compatibility Equations    29
17.  Stress Function    31
Problems    33

Chapter 3    Two-dimensional Problems in Rectangular Coordinates 35
18.  Solution by Polynomials    35
19.  End Effects.  Saint-Venant's Principle    39
20.  Determination of Displacements    40
21.  Bending of a Cantilever Loaded at the End    41
22.  Bending of a Beam by Uniform Load    46
23.  Other Cases of Continuously Loaded Beams    50
24.  Solution of the Two-dimensional Problem in the Form of a Fourier Series    53
25.  Other Applications of Fourier Series.  Gravity Loading    60
26.  End Effects.  Eigensolutions    61
Problems    63

Chapter 4   Two-dimensional Problems in Polar Coordinates 65
27.  General Equations in Polar Coordinates    65
28.  Stress Distribution Symmetrical about an Axis    68
29.  Pure Bending of Curved Bars    71
30.  Strain Components in Polar Coordinates    75
31.  Displacements for Symmetrical Stress Distributions    77
32.  Rotating Disks    80
33.  Bending of a Curved Bar by a Force at the End    83
34.  Edge Dislocation    88
35.  The Effect of Circular Holes on Stress Distributions in Plates    90
36.  Concentrated Force at a Point of a Straight Boundary    97
37.  Any Vertical Loading of a Straight Boundary    104
38.  Force Acting on the End of a Wedge    109
39.  Bending Couple Acting on the End of a Wedge    112
40.  Concentrated Force Acting on a Beam    113
41.  Stresses in a Circular Disk    122
42.  Force at a Point of an Infinite Plate   127
43.  Generalized Solution of the Two-dimensional Problem in Polar Coordinates    132
44.  Applications of the Generalized Solution in Polar Coordinates    136
45.  A Wedge Loaded along the Faces    139
46.  Eigensolutions for Wedges and Notches    141
Problems    144

Chapter 5    Photoelastic and Moire Experimental Methods 150
47.  Experimental Methods and Verifications    150
48.  Photoelastic Stress Measurement    150
49.  Circular Polariscope    155
50.  Examples of Photoelastic Stress Determination    157
51.  Determination of the Principal Stresses    168
52.  Three-dimensional Photoelasticity    162
53.  The Moire Method    164

Chapter 6   Two-dimensional Problems in Curvilinear Coordinates 168
54.  Functions of a Complex Variable    168
55.  Analytic Functions and Laplace's Equation    170
Problems    171
56.  Stress Functions in Terms of Harmonic and Complex Functions    172
57.  Displacement Corresponding to a Given Stress Function    175
58.  Stress and Displacement in Terms of Complex Potentials    176
59.  Resultant of Stress on a Curve.  Boundary Conditions    179
60.  Curvilinear Coordinates    181
61.  Stress Components in Curvilinear Coordinates    185
Problems    187
62.  Solutions in Elliptic Coordinates.  Elliptic H01e in Uniformly Stressed Plate    187
63.  Elliptic Hole in a Plate under Simple Tension    191
64.  Hyperbolic Boundaries.  Notches    194
65.  Bipolar Coordinates    196
66.  Solutions in Bipolar Coordinates    198
Other Curvilinear Coordinates    202
Assignable Shapes    203
67.  Determination of the Complex Potentials from Given Boundary Conditions.  Methods Of Muskhelishvili    203
68.  Formulas for the Complex Potentials    206
69.  Properties of Stress and Deformation Corresponding to Complex Potentials Analytic in the Material Region around a Hole    207
70.  Theorems on Boundary Integrals    209
71.  A Mapping Function ( ) for the Elliptic Hole.  The Second Boundary Integral    212
72.  The Elliptic Hole.  Formula for  ( )    213
73.  The Elliptic Hole.  Particular Problems    214
Problems    211

Chapter 7    Analysis of Stress and Strain in Three Dimensions 219
74.  Introduction    219
75.  Principal Stresses    221
76.  Stress Ellipsoid and Stress-director Surface    222
77.  Determination of the Principal Stresses    223
78.  Stress Invariants    224
79.  Determination of the Maximum Shearing Stress    224
80.  Homogeneous Deformation    226
81.  Strain at a Point    228
82.  Principal Axes of Strain    231
83.  Rotation    232
Problems    234

Chapter 8    General Theorems 235
84.  Differential Equations of Equilibrium    235
85.  Conditions of Compatibility    237
86.  Determination of Displacements   240
87.  Equations of Equilibrium in Terms of Displacements    240
88.  General Solution for the Displacements    242
89.  The Principal of Superposition    243
90.  Strain Energy    244
91.  Strain Energy of an Edge Dislocation    249
92.  Principle of Virtual Work    250
93.  Castigliano's Theorem    254
94.  Applications of the Principle of Least Work  Rectangular Plates    258
95.  Effective Width of Wide Beam Flanges    262
Problems    268
96.  Uniqueness of Solution    269
97.  The Reciprocal Theorem    271
98.  Approximate Character of the Plane Stress Solutions    274
Problems    277

Chapter 9    Elementary Problems of Elasticity in Three Dimensions 278
99.  Uniform Stress    278
100.  Stretching of a Prismatical Bar by Its Own Weight    279
101.  Twist of Circular Shafts of Constant Cross Section    282
102.  Pure Bending of Prismatical Bars    284
103.  Pure Bending of Plates    288

Chapter l0   Torsion 291
104.  Torsion of Straight Bars    291
105.  Elliptic Cross Section    297
106.  Other Elementary Solutions    299
107.  Membrane Analogy    303
108.  Torsion of a Bar of Narrow Rectangular Cross Section    307
109.  Torsion of Rectangular Bars    309
110.  Additional Results    313
111.  Solution of Torsional Problems by Energy Method    315
112.  Torsion of Rolled Profile Sections    321
113.  Experimental Analogies    324
114.  Hydrodynamical Analogies    325
115.  Torsion of Hollow Shafts    328
116.  Torsion of Thin Tubes    332
117.  Screw Dislocations    336
118.  Torsion of a Bar in Which One Cross Section Remains Plane    338
119.  Torsion of Circular Shafts of Variable Diameter    341
Problems    349

Chapter 11    Bending of Bars 354
120.  Bending of a Cantilever    354
121.  Stress Function    356
122.  Circular Cross Section    358
123.  Elliptic Cross Section    359
124.  Rectangular Cross Section    361
125.  Additional Results    366
126.  Nonsymmetrical Cross Sections    369
127.  Shear Center    371
128.  The Solution of Bending Problems by the Soap-film Method    374
129.  Displacements    378
130.  Further Investigations of Bending    378

Chapter 12    Axisymmetric Stress and Deformation in a Solid of Revolution 380
131.  General Equations    380
132.  Solution by Polynomials    383
133.  Bending of a Circular Plate    385
134.  The Rotating Disk as a Three-dimensional Problem    388
135.  Force at a Point in an Infinite Solid    390
136.  Spherical Container under Internal or External Uniform Pressure    392
137.  Local Stresses around a Spherical Cavity    396
138.  Force on Boundary of a Senti-infinite Body    398
139.  Load Distributed over a Part of the Boundary of a Semi-infinite Solid    403
140.  Pressure between Two Spherical Bodies in Contact    409
141.  Pressure between Two Bodies in Contact.  More General Case    414
142.  Impact of Spheres    420
143.  Symmetrical Deformation of a Circular Cylinder    422
144.  The Circular Cylinder with a Band of Pressure    425
145.  Boussinesq's Solution in Two Harmonic Functions    428
146.  The Helical Spring under Tension (Screw Dislocation in a Ring)    429
147.  Pure Bending of an Incomplete Ring    432

Chapter 13  Thermal Stress 433
148.  The Simplest Cases of Thermal Stress Distribution.  Method of Strain Suppression    433
Problems    438
149.  Longitudinal Temperature Variation in a Strip    439
150.  The Thin Circular Disk: Temperature Symmetrical about Center    441
151.  The Long Circular Cylinder    443
Problems    452
152.  The Sphere    452
153.  General Equations    456
154.  Thermoelastic Reciprocal Theorem    459
155.  Overall Thermoelastic Deformations.  Arbitrary Temperature Distribution    460
156.  Thermoelastic Displacement.  Maisel's Integral Solution    463
Problems    466
157.  Initial Stress    466
158.  Total Volume Change Associated with Initial Stress    468
159.  Plane Strain and Plane Stress.  Method of Strain Suppression    469
160.  Two-dimensional Problems with Steady Heat Flow    470
161.  Thermal Plane Stress Due to Disturbance of Uniform Heat Flow by an Insulated Hole    475
162.  Solutions of the General Equations.  Thermoelastic Displacement Potential    476
163.  The General Two-dimensional Problem for Circular Regions    481
164.  The General Two-dimensional Problem in Complex Potentials    482
Chapter 14    The Propagation of Waves in Elastic Solid Media 485
165.  Introduction    485
166.  Waves of Dilatation and Waves of Distortion in Isotropic Elastic Media    486
167.  Plane Waves    487
168.  Longitudinal Waves in Uniform Bars.  Elementary Theory    492
169.  Longitudinal Impact of Bars    497
170.  Rayleigh Surface Waves    505
171.  Spherically Symmetric Waves in the Infinite Medium    508
172.  Explosive Pressure in a Spherical Cavity    510

Appendix    The Application of Finite-difference Equations in Elasticity 515
1.  Derivation of Finite Difference Equations    515
2.  Methods of Successive Approximation    520
3.  Relaxation Method    522
4.  Triangular and Hexagonal Nets    527
5.  Block and Group Relaxation    532
6.  Torsion of Bars with Multiply-connected Cross Sections    534
7.  Points Near the Boundary    536
8.  Biharmonic Equation    538
9.  Torsion of Circular Shafts of Variable Diameter    545
10.  Solutions by Digital Computer    549
Name Index   553
Subject index   559

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