Preface | p. xi |
List of Symbols | p. xv |
Introduction to Welding Mechanics | |
Basic Concepts of Welding and Welding Mechanics | p. 1 |
Process of the Production of Residual Stress and Inherent Strain | p. 8 |
Illustrative Model | p. 8 |
Heating of Free Bar C | p. 12 |
Heating of Bar C Fixed at Both Ends | p. 13 |
Heating Bar C When It Is Connected to a Movable Rigid Body | p. 21 |
Reproduction of Residual Stress by Inherent Strain and Inverse Analysis for Inherent Strain | p. 27 |
Reproduction of Residual Stress by Inherent Strain | p. 27 |
Inverse Analysis for Inherent Strain | p. 28 |
Numerical Examples of Residual Stress, Inherent Strain, and Inherent Displacement | p. 29 |
Low-Temperature Heating Process | p. 30 |
Medium-Temperature Heating | p. 31 |
High-Temperature Heating | p. 33 |
References | p. 34 |
Introduction to Measurement and Prediction of Residual Stresses with the Help of Inherent Strains | |
Inherent Strains and Resulting Stresses | p. 36 |
Displacement-Strain Relation (Compatibility) | p. 38 |
Stress-Strain Relation (Constitution Equation) | p. 39 |
Equilibrium Condition (Equilibrium Equation) | p. 39 |
Measured Strains in Experiments and Inherent Strains | p. 40 |
Effective and Noneffective Inherent Strains | p. 41 |
Determination of Effective Inherent Strains from Measured Residual Stresses | p. 42 |
Most Probable Value of Effective Inherent Strain and Accuracy of the Measurement of Residual Stress | p. 45 |
Derivation of Elastic Response Matrix | p. 46 |
Measuring Methods and Procedures of Residual Stresses in Two- and Three-Dimensional Models | p. 48 |
Measurement of Two-Dimensional Residual Stresses Induced in the Butt-Welded Joint of a Plate | p. 48 |
Measurement of Three-Dimensional Residual Stresses Induced in Thick Plates | p. 49 |
Prediction of Welding Residual Stresses | p. 52 |
References | p. 52 |
Mechanical Simulation of Welding | |
Heat Flow and Temperature During Welding | p. 55 |
Heat Supply, Diffusion, and Dissipation | p. 56 |
Simple Heat Flow Model | p. 59 |
Differences in Material Properties | p. 63 |
Change of Material Properties with Temperature | p. 64 |
Characteristic Temperature and Length | p. 69 |
Simple Method for Solving the Heat Conduction Problem | p. 74 |
Summary | p. 79 |
Basic Concepts of Mechanical Problems in Welding | p. 79 |
Classification of Problems According to Dimensions | p. 80 |
Variables and Equations Used to Describe Mechanical Problems | p. 81 |
Deformation and Stress in the Three-Bar Model | p. 84 |
Stress-Strain Relation in Welding | p. 87 |
Thermal Visco-Elasto-Plastic Problem in Three-Bar Model | p. 94 |
Closing Remarks | p. 96 |
References | p. 97 |
The Finite Element Method | |
Finite Element Method as a Powerful Tool for a Variety of Problems | p. 99 |
Types of Problems and the Corresponding Basic Equations | p. 101 |
Basic Concepts of the Variational Principle | p. 103 |
How to Solve a Problem with More than One Element | p. 104 |
Equilibrium Equation of a Bar | p. 104 |
Equilibrium Equations of Two Bars | p. 105 |
Incremental Method for Nonlinear Problems | p. 108 |
Simple Examples of Analyzing Thermal Elastic-Plastic-Creep Behavior | p. 109 |
Bar Fixed at Both Ends Under a Thermal Cycle | p. 109 |
Thermal Elastic Behavior of a Bar Fixed at Both Ends | p. 112 |
Thermal Elastic-Plastic Behavior of a Bar Fixed at Both Ends | p. 113 |
Thermal Elastic-Plastic Creep Behavior of a Bar Fixed at Both Ends | p. 114 |
Basic Theoretical Solutions to Validate Results Obtained by the FEM | p. 115 |
Temperature Distribution Due to a Concentrated Heat Source | p. 115 |
Temperature Distribution on a Butt-Welded Joint of a Thin Plate | p. 116 |
Temperature Distribution on a Butt-Welded Joint of a Thick Plate | p. 119 |
Inherent Strain Distribution on a Butt-Welded Joint of a Thin Plate | p. 120 |
Flow of Analysis for Welding Deformation and Residual Stress | p. 122 |
Checklist for Rational Simulation | p. 124 |
Checklist for Preparation of Input Data | p. 124 |
Checklists for the Results of Simulation | p. 125 |
Troubleshooting for Problems Experienced in Computation | p. 126 |
Troubleshooting for Common Problems in Heat Conduction Analysis and Stress Analysis | p. 126 |
Troubleshooting for Heat Conduction Analysis | p. 126 |
Troubleshooting for Thermal Elastic-Plastic Analysis | p. 128 |
References | p. 129 |
Q&A for FEM Programs | |
Q&A for Program Introduction | p. 131 |
Q&A for Welding Heat Conduction Program heat2d.exe | p. 135 |
Q&A for Thermal Elastic-Plastic Creep Program tepc2d.exe | p. 140 |
Q&A for the Inherent Strain-Based Program inhs2d.exe | p. 142 |
Q&A for Postprocessing Program awsd.exe | p. 144 |
Q&A for Sample Data | p. 152 |
Reference | p. 167 |
Simulation Procedures for Welding Heat Conduction, Welding Deformation, and Residual Stresses Using the FEM Programs Provided on the Companion Website | |
Simulation Steps Using the Welding Heat Conduction FEM Program | p. 170 |
Purpose and Simulation Conditions | p. 170 |
Preparation of Input File | p. 171 |
Steps to Execute heat2d.exe for Welding Heat Conduction | p. 176 |
Viewing Results Using Postprocessing Program | p. 176 |
Simulation Steps Using the Thermal Elastic-Plastic Creep FEM Program | p. 178 |
Purpose and Simulation Conditions | p. 178 |
Preparation of Input File | p. 179 |
Prepare the Node Temperature File | p. 185 |
Steps to Execute the FEM Program | p. 185 |
Viewing Results Using the Postprocessing Program | p. 185 |
Simulation Steps Using the Inherent Strain FEM Program | p. 188 |
Purpose and Simulation Conditions | p. 188 |
Preparation of Input File | p. 189 |
Steps to Execute the Program | p. 192 |
Comparison of the Results of the Inherent Strain Method and the Thermal Elastic-Plastic Method | p. 192 |
Numerical Experiment for Residual Stress Measurement Using the Inherent Strain FEM Program | p. 193 |
Purpose and Simulation Conditions | p. 193 |
Preparation of Input File | p. 194 |
Steps to Execute the FEM Program for Residual Stress and Deformation | p. 199 |
Comparison of the Results of the Inherent Strain Method and the Thermal Elastic-Plastic Method | p. 199 |
Computation Steps for the Prediction of Residual Stresses by the Inherent Strain Method | p. 200 |
Purpose and Simulation Conditions | p. 200 |
Preparation of Input File and Prediction Formula of Inherent Strain | p. 200 |
Steps to Execute inhs2d.exe for Residual Stress Computation | p. 206 |
Comparison of the Results by the Inherent Strain Method and the Thermal Elastic-Plastic Method | p. 206 |
Reference | p. 207 |
Strategic Simulation Analyses for Manufacturing Problems Related to Welding | |
Cold Cracking at the First Pass of a Butt-Welded Joint Under Mechanical Restraint | p. 210 |
Cold Cracking of Slit Weld | p. 213 |
Analysis of Welding Residual Stress of Fillet Welds for Prevention of Fatigue Cracks | p. 216 |
Residual Stresses by Three-Dimensional Analysis | p. 216 |
Comparison of Residual Stresses by Two-Dimensional and Three-Dimensional Analyses | p. 216 |
Comparison of Residual Stresses in Single-Pass and Multipass Welds | p. 219 |
Multipass-Welded Corner Joints and Weld Cracking | p. 221 |
Experiment and Result | p. 221 |
Residual Stresses by Thermal Elastic-Plastic Analysis | p. 221 |
Effects of Welding Residual Stress and Geometry of Edge Preparation on Initiation of Welding Cracks | p. 223 |
Analysis of Transient and Residual Stresses of Multipass Welding of Thick Plates in Relation to Cold Cracks, Under-Bead Cracks, Etc. | p. 227 |
Specimens and Conditions for Theoretical Analysis | p. 227 |
Characteristics of Welding Residual Stress Distributions and Production Process | p. 230 |
Improvement of Residual Stresses of a Circumferential Joint of a Pipe by Heat-Sink Welding | p. 231 |
Prediction of Deformation Produced by Line Heating | p. 235 |
Simulation of Resistance Spot Welding Process | p. 236 |
Prediction of Welding Distortion Produced in Large Plate Structures | p. 239 |
References | p. 244 |
Residual Stress Distributions in Typical Welded Joints | p. 247 |
Residual Stresses in Base Metals | p. 248 |
Residual Stress in Thermo-Mechanical Control Process(TMCP) Steel | p. 248 |
Residual Stress in TMCP Steel Induced by Bead Weld | p. 250 |
Explosive Clad Steel | p. 251 |
Cylindrical Thick Plate by Cold Bending | p. 252 |
Residual Stresses in Welded Joints of Plates; in 2-Dimensional | p. 253 |
Butt-Welded Joints; Classification of Patterns of Residual Stress Distributions | p. 253 |
Long Butt-Welded Joint, Prediction Equation | p. 256 |
Built-Up Members ofT Shape and I Shape | p. 257 |
Built-Up Member of T Shape, Experiment | p. 259 |
Residual Stress and Inherent Displacement Induced by Slit Welds | p. 260 |
Mullripass Butt Welds of Thick Plates; 3-Dimensional | p. 263 |
Multipass Butt Welds of Thick Plates, Classification | p. 263 |
Multipass Butt Welds of Thick Plate, Experiment | p. 264 |
Electron Beam Welding, Thick Plate | p. 265 |
First Bead of Butt Joint; RCC (Rigidly Restrained Cracking) Test Specimen | p. 267 |
Multipass-Welded Corner Joint | p. 268 |
Fillet Welds: 3-Dimensional | p. 269 |
Single Fillet Welds | p. 269 |
Fillet Welds at the Joint of Web and Flange | p. 270 |
Repair Weld of Thick Plate | p. 271 |
Circumferential Welded Joint of Pipes | p. 274 |
Circumferential Welded Joint of PipesùHeat-Sink Welding | p. 274 |
Penetrating Pipe Joints in Nuclear Reactor | p. 279 |
References | p. 281 |
Published material properties for thermal elastic-plastic FEM analysis Located on the companion website at booksite.elsevier.com/9780123948045 | |
Theory of three-dimensional thermal elastic-plastic creep analysis Located on the companion website at booksite.elsevier.com/9780123948045 | |
Contents of Programs and Data on the Companion Website | p. 283 |
Index | p. 285 |
About the Authors | p. 291 |
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