Thermal Stresses

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ISBN: 9781560329718 | 1560329718
Cover: Hardcover
Copyright: 10/27/2002

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Thermal Stresses, 2nd Editionis a new comprehensive volume on thermal stresses. It provides a sound grounding in the fundamental theory of thermal stresses as well as includes a multitude of applications. Many solved examples are included in the text, with numerous problems at the end of each chapter. The book starts with an introduction to the elementary theory, at the undergraduate level, and then progresses with the exposition of more advanced methods. The authors introduce the topics in a clear fashion, easy to grasp by students, engineers and scientists. While primarily a textbook,Thermal Stresses, 2nd Editionwill also satisfy the needs of practicing scientists and engineers. This volume is suitable for senior undergraduates and first year graduate students. A solutions manual is available to qualified instructors.

Preface to the Second Edition	p. xi
Preface to the First Edition	p. xiii
Thermal Stresses in Bars	p. 1
Stress and Strain	p. 1
Stress and Strain	p. 1
Hooke's Law	p. 3
Free Thermal Expansion and Free Thermal Strain	p. 4
Action of External Force and Temperature Change	p. 5
Thermal Stresses in Clamped Bars	p. 5
Constant Temperature Change	p. 5
Non-Uniform Temperature Change	p. 13
Thermal Stresses in Partially Restrained Bars	p. 15
Thermal Stresses in Bars Under Bending	p. 22
Problems	p. 24
Thermal Stresses in Beams	p. 29
Thermal Stresses in Beams	p. 29
Stresses in Beams Subjected to Mechanical Loads	p. 29
Thermal Stresses in Clamped Beams	p. 31
Thermal Stresses in Rectangular Beams	p. 32
General Technique for Thermal Stresses in Beams	p. 34
Thermal Stresses in Composite Beams	p. 39
Thermal Stresses in a Two-Layered Beam	p. 39
Thermal Stresses in Two Beams Clamped at Each End	p. 46
Thermal Stresses in Multi-Layered Composite Beams	p. 52
Thermal Stresses in Nonhomogeneous Beams	p. 54
Thermal Stresses at Arbitrary Temperature	p. 56
Homogeneous Beams	p. 56
Nonhomogeneous Beams	p. 59
Thermal Deflection in Beams	p. 62
Curved Beams	p. 65
Thermal Shearing Stresses in Thin-Walled Beams	p. 68
Thermal Stresses in Beams on an Elastic Foundation	p. 71
Problems	p. 76
Heat Conduction	p. 81
Heat Conduction Equation	p. 81
Boundary and Initial Conditions	p. 89
Boundary Conditions	p. 90
Initial Condition	p. 93
One-Dimensional Heat Conduction Problems in Cartesian Coordinates	p. 93
One-Dimensional Heat Conduction Equation	p. 93
One-Dimensional Temperature in the Steady State	p. 94
One-Dimensional Transient Temperature; Separation of Variables	p. 96
One-Dimensional Transient Temperature; Laplace Transform	p. 102
One-Dimensional Heat Conduction Problems in Cylindrical Coordinates	p. 111
Heat Conduction Equation in Cylindrical Coordinates	p. 111
One-Dimensional Temperature in the Steady State	p. 112
One-Dimensional Transient Temperature in a Solid Cylinder	p. 115
One-Dimensional Transient Temperature in a Hollow Cylinder	p. 118
One-Dimensional Heat Conduction Problems in Spherical Coordinates	p. 123
Heat Conduction Equation in Spherical Coordinates	p. 123
One-Dimensional Temperature in the Steady State	p. 124
One-Dimensional Transient Temperature in a Solid Sphere	p. 127
One-Dimensional Transient Temperature in a Hollow Sphere	p. 129
Problems	p. 134
Basic Equations of Thermoelasticity	p. 137
Stress in a Cartesian Coordinate System	p. 137
Equations of Equilibrium	p. 137
Coordinate Transformation of Stress	p. 142
Strain in a Cartesian Coordinate System	p. 144
Components of Strain	p. 144
Compatibility Conditions	p. 145
Coordinate Transformation of Strain	p. 146
Governing Equations of Thermoelasticity	p. 147
Constitutive Equations	p. 147
Displacement Equations	p. 149
Compatibility Equations in Terms of Stress	p. 150
Boundary Conditions	p. 151
Body-Force Analogy	p. 152
General Solution of Navier's Equations	p. 153
Thermoelastic Displacement Potential	p. 153
Displacement Potentials	p. 156
General Solutions for the Potential Function	p. 160
Cylindrical Coordinate System	p. 162
Stress in a Cylindrical Coordinate System	p. 162
Strain in a Cylindrical Coordinate System	p. 163
Generalized Hooke's Law in a Cylindrical Coordinate System	p. 165
Navier's Equations of Thermoelasticity in a Cylindrical Coordinate System	p. 165
Spherical Coordinate System	p. 168
Stress in a Spherical Coordinate System	p. 168
Strain in a Spherical Coordinate System	p. 169
Generalized Hooke's Law in a Spherical Coordinate System	p. 171
Navier's Equations of Thermoelasticity in a Spherical Coordinate System	p. 172
Multiply Connected Bodies	p. 173
Basic Equations for Multiply Connected Bodies	p. 173
Temperature Distributions with Zero Thermal Stress	p. 176
Problems	p. 178
Plane Thermoelastic Problems	p. 179
Plane Strain and Plane Stress	p. 179
Introduction	p. 179
Plane Strain	p. 180
Plane Stress	p. 183
Governing Equations of Plane Problems	p. 187
Thermal Stress Function	p. 189
Thermal Stress Function	p. 189
Displacements by Thermal Stress Function	p. 190
Boundary Conditions in Terms of Thermal Stress Function	p. 192
Multiply Connected Bodies	p. 193
Temperature Distribution with Zero Thermal Stress	p. 196
General Solution of Thermal Stress Function	p. 198
Complex Variable Method	p. 203
Complex Presentation of Thermal Stress Function	p. 203
Complex Representation of Stress and Displacement	p. 205
General Formulae for Multiply Connected Bodies	p. 208
Conformal Mapping of the Formulae of Plane Theory	p. 211
Potential Method	p. 214
Problems	p. 218
Thermal Stresses in Circular Cylinders	p. 221
One-Dimensional Problems	p. 221
Displacement Technique	p. 222
Thermal Stress Function Technique	p. 233
Thermoelastic Potential Technique	p. 234
Complex Variable Technique	p. 236
A Note on Reciprocal Theory Technique	p. 240
Dislocation Technique	p. 240
Plane Problems	p. 244
Steady State Thermal Stresses in a Hollow Cylinder	p. 244
Transient Thermal Stresses in a Solid Cylinder	p. 250
Two-Dimensional Problems (Axisymmetric Problems)	p. 259
Fundamental Equations for Two-Dimensional Problems	p. 259
Steady State Thermal Stresses in a Semi-Infinite Body	p. 261
Steady State Thermal Stresses in a Long Circular Cylinder	p. 266
Transient Thermal Stresses in a Thick Plate	p. 269
Three-Dimensional Problems	p. 273
Solution Methods in Three-Dimensional Problems	p. 273
Steady State Thermal Stresses in a Semi-Infinite Body	p. 276
Steady State Thermal Stresses in a Long Circular Cylinder	p. 284
Problems	p. 293
Thermal Stresses in Spherical Bodies	p. 295
Thermal Stresses in Spherical Bodies	p. 295
One-Dimensional Problems	p. 295
A Hollow Sphere	p. 297
A Solid Sphere	p. 301
Infinite Bodies	p. 304
Two-Dimensional Problems (Axisymmetric Problems)	p. 309
Illustrative Examples of Axisymmetric Problems in Spherical Bodies	p. 314
Fundamental Solution of Temperature Field	p. 314
Components of Displacement and Stress in Terms of Displacement Functions [open phi] and [psi]	p. 316
Problems	p. 341
Thermal Stresses in Plates	p. 345
Thermal Stress in a Plate Due to Uniform Thermal Load	p. 345
Basic Equations for a Rectangular Plate	p. 355
Fundamental Relations of Thermal Bending	p. 355
Boundary Conditions of the Plate	p. 360
Fundamental Solutions for Rectangular Plates	p. 365
Simply Supported Rectangular Plate	p. 365
A Rectangular Plate with Two Opposite Edges Simply Supported and the Other Two Edges Clamped	p. 367
A Rectangular Plate with Built-in All Edges	p. 371
Basic Equations for a Circular Plate	p. 376
Fundamental Relations of Thermal Bending	p. 376
Boundary Conditions for a Circular Plate	p. 379
Axisymmetric Thermal Bending Problems	p. 380
Fundamental Solutions for Circular Plates	p. 381
Axisymmetric Problems	p. 381
Non-axisymmetric Problems	p. 387
Problems	p. 392
Thermally Induced Instability	p. 397
Instability of Beam-Column	p. 397
Introduction	p. 397
Beam-Column Problems by Axially Imposed External Load	p. 399
Instability of Plate	p. 409
Basic Equations for a Rectangular Plate	p. 409
Illustrative Examples for a Rectangular Plate	p. 413
Basic Equations for a Circular Plate	p. 419
Illustrative Examples for a Circular Plate	p. 424
Problems	p. 429
Thermodynamics of Thermoelasticity	p. 431
The Principle of Energy Conservation	p. 431
The Second Law of Thermodynamics	p. 434
Reversible and Irreversible Processes	p. 434
Cycle of Carnot	p. 435
Entropy	p. 437
Thermodynamic Functions	p. 439
Fundamental Differential Equations of Thermoelasticity	p. 446
Heat Conduction Equation	p. 446
Equation of Motion	p. 447
Solution of Equation of Motion	p. 449
The Variational Theorems of Thermoelasticity	p. 451
Uniqueness Theorem	p. 454
Reciprocal Theorem	p. 457
Reciprocal Theorem	p. 457
Practical Problem	p. 463
Problems	p. 466
Inverse Laplace Transform	p. 469
Bessel Functions	p. 473
Legendre Functions	p. 479
Books on Thermal Stresses	p. 485
Index	p. 489
Table of Contents provided by Syndetics. All Rights Reserved.

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Thermal Stresses

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