Johns / Neal Thermal Stress Analyses

1. Auflage 2013
ISBN: 978-1-4832-2704-7
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 230 Seiten, Web PDF

Thermal Stress Analyses deals with both elastic and plastic thermal stresses produced from large variations in temperature and thermal expansion in materials whose properties are time-independent. This book is composed of eight chapters. The opening chapter illustrates the general three-dimensional thermoelastic problem, which requires the determination of stress, strains and displacements, when the body forces and boundary conditions are known while the next chapter demonstrate a simpler, two-dimensional formulation involving plane strain and plane stress. The succeeding five chapters describe thermal stresses in various structures, including in thin plates, beams, circular cylinders, and shells. The closing chapters consider the mechanism of thermal buckling and sundry design problems. This book is of value to mechanical engineers, and to mechanical engineering teachers and students.

Autoren/Hrsg.

Johns, D. J.

Neal, B. G.

Inhaltsverzeichnis

1;Front Cover;1
2;Thermal Stress Analyses;4
3;Copyright Page;5
4;Table of Contents;6
5;PREFACE;12
6;ACKNOWLEDGEMENTS;14
7;PRINCIPAL NOTATION;16
8;CHAPTER 1. FUNDAMENTALS OF THERMAL STRESS ANALYSIS;20
8.1;1.1 Preliminary Remarks on Thermal Stress;20
8.2;1.2 Definition of Strain Components;24
8.3;1.3 Equations of State;26
8.4;1.4 Equations of Equilibrium;28
8.5;1.5 Boundary Conditions;29
8.6;1.6 Thermodynamic Considerations and Thermoelastic Coupling;30
8.7;1.7 Minimal Principles in Thermoelasticity;33
8.8;1.8 Solution of the Three-Dimensional Thermoelastic Equations;35
9;CHAPTER 2. TWO-DIMENSIONAL FORMULATIONS AND SOLUTIONS;40
9.1;2.1 Plane Strain Analyses;40
9.2;2.2 Plane Stress Analyses;42
9.3;2.3 Summary of the Thermal Stress Equations in Two Dimensions;43
9.4;2.4 Use of the Airy Stress Function for Solid Structures;45
9.5;2.5 One-Dimensional Thermal Stresses in a Thin Rectangular Slab;47
9.6;2.6 Thick Plate with Temperature Variation through the Thickness Only;48
9.7;2.7 Thermal Stresses in Thin Plates;50
10;CHAPTER 3. MEMBRANE THERMAL STRESSES IN THIN PLATES;52
10.1;3.1 Thermal Stresses Near Hot Spots in Infinite Plates;52
10.2;3.2 A Circular Disc with a General Radial Temperature Distribution;54
10.3;3.3 A Solid Circular Disc with an Asymmetrical Temperature Distribution;57
10.4;3.4 A Circular Ring with an Asymmetrical Temperature Distribution;59
10.5;3.5 Thermal Stresses in Finite Rectangular Plates (Method 1);59
10.6;3.6 Thermal Stresses in Finite Rectangular Plates (Methods 2-4);62
11;CHAPTER 4. BENDING THERMAL STRESSES IN THIN PLATES;67
11.1;4.1 Theory for Thin Isotropie Plates with Small Deflexions;67
11.2;4.2 Theory for Thin Isotropie Plates with Large Deflexions;71
11.3;4.3 Boundary Conditions;73
11.4;4.4 Temperature Distributions, T = T(z);74
11.5;4.5 Temperature Distribution T=-z.T(xy)d;81
12;CHAPTER 5. THERMAL STRESSES IN BEAMS AND CIRCULAR CYLINDERS;85
12.1;5.1 Free Rectangular Beams;85
12.2;5.2 Free Beams of Arbitrary Cross-Section;87
12.3;5.3 Elementary Solutions for Free I-Beams;90
12.4;5.4 The End Problem in Free I-Beams;93
12.5;5.5 Thermal Deflexions of Free Beams;96
12.6;5.6 Statically Indeterminate Beams (Externally Restrained);97
12.7;5.7 Axisymmetric Thermal Stresses in Circular Cylinders;99
13;CHAPTER 6. THERMAL STRESSES IN SHELLS;103
13.1;6.1 Introduction;103
13.2;6.2 Shells of Arbitrary Shape;104
13.3;6.3 Shells of Revolution with a Meridian of Arbitrary Shape;107
13.4;6.4 Shells of Revolution of Constant Meridional Curvature;113
13.5;6.5 Circular Cylindrical Shells;115
13.6;6.6 Discontinuity Problems in Shells;125
14;CHAPTER 7. THERMAL BUCKLING;129
14.1;7.1 Introduction;129
14.2;7.2 Columns or Bars;130
14.3;7.3 Thermal Buckling of Flat, Uniform Plates;132
14.4;7.4 Post-Buckling (Large Deflexion) Analyses for Flat Plates;144
14.5;7.5 Thermal Buckling of Circular Cylindrical Shells;149
14.6;7.6 Thermal Buckling of Thin Wings;157
15;CHAPTER 8. SUNDRY DESIGN PROBLEMS;166
15.1;8.1 Temperature-Dependent Material Properties;166
15.2;8.2 Optimum Design of Structures to Include Thermal Stress;170
15.3;8.3. The Alleviation of Thermal Stress;175
15.4;8.4 Inelastic Thermal Stresses;180
15.5;8.5 Cyclic Thermal Loading : Incremental Collapse;186
16;APPENDIX. HEAT TRANSFER IN STRUCTURES;194
16.1;A.l Heat Conduction;194
16.2;A.2 Heat Convection;197
16.3;A.3 Heat Radiation;204
16.4;A.4 Equilibrium Solutions;206
16.5;A.5 Finite Difference Formulation of the Heat Transfer Problem;207
17;REFERENCES;219
18;INDEX;228