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  Contents
 
Chapter 1 Introduction to welding processes and heat sources
  Introduction; Introduction to the welding processes; Introduction to welding arc;
Introduction to heat sources; Summary
 
Chapter 2 Methods of analysis
  Introduction; Background for solving heat conduction equations; Superposition of point source solution; Summary
 
Chapter 3 Analytical solutions for basic heat sources
  Introduction; Point heat source in infinite body; Line heat source in infinite body; Plane heat source in infinite body; Area heat source; Circular disc heat source on semi-infinite body; Cylindrical surface source in infinite body; Spherical surface source in infinite body; Cylindrical solid heat source in infinite body; Summary
 
Chapter 4 Analytical solutions for 2D Gaussian-distributed heat sources
  Introduction; Surface heat source in semi-infinite body; Gaussian-distributed surface heat source in thick plate; Summary
 
Chapter 5 Analytical solutions for spherical heat sources
  Introduction; Spherical heat source in a semi-infinite body; Spherical heat source in thick plate; Spherical heat source in cylindrical body; Summary
 
Chapter 6 Analytical solutions for single-ellipsoidal density heat source
  Introduction; Single ellipsoidal heat sources in semi-infinite body; Single ellipsoidal heat sources in finite thick plate; Hybrid ellipsoid heat source in fillet joint; Analytical solution for single-ellipsoidal heat sources in cylinder; Single ellipsoidal heat sources in solid sphere; Single ellipsoidal heat sources in solid cone; Summary
 
Chapter 7 Analytical solutions for double-ellipsoidal density heat source
  Introduction; Double-ellipsoidal heat sources in semi-infinite body; Double-ellipsoidal heat sources in finite plate; Hybrid double-ellipsoidal heat sources in fillet joint; Analytical solution for double-ellipsoidal heat source in a cylinder; Analytical solution for double-ellipsoidal heat source in a sphere; Double-ellipsoidal heat sources in solid cone; Hybrid double-ellipsoidal heat source in a semi-infinite body; Summary
Chapter 8 Application in weld-pool shape simulation
  Introduction; Specimen and materials; Transient temperature distribution; Weld-pool shape simulation; A simple weld bead prediction model; Summary
Chapter 9 Thermal stresses and distortions
  Introduction; General equations for thermal stress; Thermal stresses of infinite body; Thermal stresses in thin plate; Thermal stresses in thick plate; Thermal stress in beams; Thermal stress in solid sphere; Distortions of welds; Summary
Chapter 10 Modelling of residual stresses in welded joints
  Introduction; Residual stresses in bead-on-plate weld; Residual stresses in multipass gusset joint; Summary
Chapter 11 Microstructure modelling of fusion welds
  Introduction; Peak temperature; Cooling rate; Cooling time; HAZ-width; Austenitising time; Grain growth modelling; Microstructure volume fraction diagram; Hardness and material strength in HAZ; Summary