Theory of Thermomechanical Processes in Welding

ISBN-13: 9789048167623 / Angielski / Miękka / 2010 / 174 str.

Andrzej Sluzalec

Opis

This book presents a modern viewpoint of welding thermomechanics and provides a unified and systematic continuum approach for engineers and applied physicists working on the modelling of welding processes. The theory presented includes developments in the areas of welding thermodynamics, thermoplasticity and numerical methods. The book describes the calculation of thermal stresses in welding structures, the theory of heat conduction in welding, and the basic equations of thermoplasticity, then applies the concepts to solutions of thermoplasticity problems and to thermal stresses in arc welding, laser welding, spot welding, electroslag welding and friction welding.

Spis treści

Part I Fundamentals Of Welding Thermomechanics.- 1. Description of Welding Deformations. 1.1 Introduction. 1.2 The Referential and Spatial Description. 1.3 The Deformation Gradient. 1.4 Strain Tensors. 1.5 Particulate and Material Derivatives. 1.6 Mass Conservation. 2. Stress Tensor. 2.1 Momentum. 2.2 The Stress Vector. 2.3 Momentum Balance. 2.4 Properties of the Stress Tensor. 2.5 The Virtual Work Rate. 2.6 The Piola-Kirchhoff Stress Tensor. 2.7 The Kinetic Energy Theorem. 3. Thermodynamical Background of Welding Processes. 3.1 Introduction. 3.2 The First Law of Thermodynamics. 3.3 The Energy Equation. 3.4 The Second Law of Thermodynamics. 3.5 Dissipations. 3.6 Equations of State for an Elementary System. 3.7 The Heat Conduction Law. 3.8 Thermal Behaviour. 3.9 Heat Transfer in Cartesian Coordinates. 3.10 Heat Convection. 3.11 Heat Radiation. 3.12 Initial and Boundary Conditions. 4. Motion of Fluids. 4.1 Viscous Fluids. 4.2 Navier-Stokes Equation. 5. Thermodynamical Behaviour. 5.1 Thermoelasticity. 5.2 Plastic Strain. 5.3 State Equations. 5.4 Plasticity Criterion. 5.5 The Plastic Flow Rule. 5.6 Thermal Hardening. 5.7 The Hypothesis of Maximal Plastic Work. 5.8 The Associated Flow Rule. 5.9 Incremental Formulation for Thermal Hardening. 5.10 Models of Plasticity. Part II Numerical Analysis Of Welding Problems.- 6. Numerical Methods in Thermomechanics. 6.1 Introduction. 6.2 Finite Element Solution of Heat Flow Equations. 6.3 Finite-Element Solution of Navier-Stokes Equations. 6.4 Time Discretization. 6.5 Time integration Schemes for Nonlinear Heat Conduction. 6.6 Solution Procedure for Navier-Stokes Equation. 6.7 Modeling of the Phase Change Process. 6.8 The Theorem of Virtual Work in Finite Increments. 6.9 The Thermo-Elasto-Plastic Finite Element Model. 6.10 Solution Procedure for Thermo-Elasto-Plastic Problems. Part III Heat Flow In Welding.- 7. Analytical Solutions of Thermal Problems in Welding. 7.1 Introduction. 7.2 Heat Flow in Spot Welding. 7.3 Temperature Distribution in a Thin Plate. 7.4 Temperature Distributions in an Infinitely Thick Plate. 7.5 Heat Flow in Friction Welding. 8. Numerical Solutions of Thermal Problems in Welding. 8.1 Introduction. 8.2 Temperature Distributions in Laser Microwelding. 8.3 Temperature Distribution in Electroslag Welding. Part IV Welding Stresses And Deformations.- 9. Thermal Stresses in Welding. 9.1 Changes of Stresses During Welding. 9.2 Residual Stresses. 10. Welding Deformations. 10.1 Distortion. 10.2 Deformations in Friction Welding. References and Further Reading. Subject Index