© 2019

Thermal Processes in Welding


Part of the Engineering Materials book series (ENG.MAT.)

Table of contents

  1. Front Matter
    Pages i-xix
  2. Victor A. Karkhin
    Pages 1-40
  3. Victor A. Karkhin
    Pages 41-54
  4. Victor A. Karkhin
    Pages 157-303
  5. Victor A. Karkhin
    Pages 305-322
  6. Victor A. Karkhin
    Pages 323-352
  7. Victor A. Karkhin
    Pages 353-362
  8. Victor A. Karkhin
    Pages 363-379
  9. Victor A. Karkhin
    Pages 381-390
  10. Victor A. Karkhin
    Pages 391-409
  11. Victor A. Karkhin
    Pages 411-440
  12. Back Matter
    Pages 471-478

About this book


This book describes and systemizes analytical and numerical solutions for a broad range of instantaneous and continuous, stationary and moving, concentrated and distributed, 1D, 2D and 3D heat sources in semi-infinite bodies, thick plane layers, thin plates and cylinders under various boundary conditions. The analytical solutions were mainly obtained by the superimposing principle for various parts of the proposed 1D, 2D and 3D heat sources and based on the assumption that only heat conduction plays a major role in the thermal analysis of welds. Other complex effects of heat transfer in weld phenomena are incorporated in the solutions by means of various geometrical and energetic parameters of the heat source.

The book is divided into 13 chapters. Chapter 1 briefly reviews various welding processes and the energy characteristics of welding heat sources, while Chapter 2 covers the main thermophysical properties of the most commonly used alloys. Chapter 3 describes the physical fundamentals of heat conduction during welding, and Chapter 4 introduces several useful methods for solving the problem of heat conduction in welding. Chapters 5 and 6 focus on the derivation of analytical solutions for many types of heat sources in semi-infinite bodies, thick plane layers, thin plates and cylinders under various boundary conditions. The heat sources can be instantaneous or continuous, stationary or moving, concentrated or distributed (1D, 2D or 3D). In Chapter 7 the temperature field under programmed heat input (pulsed power sources and weaving sources) is analyzed.

In turn, Chapters 8 and 9 cover the thermal cycle, melting and solidification of the base metal. Heating and melting of filler metal are considered in Chapter 10. Chapter 11 addresses the formulation and solution of inverse heat conduction problems using zero-, first- and second-order algorithms, while Chapter 12 focuses on applying the solutions developed here to the optimization of welding conditions. In addition, case studies confirm the usefulness and feasibility of the respective solutions. Lastly, Chapter 13 demonstrates the prediction of local microstructure and mechanical properties of welded joint metals, while taking into account their thermal cycle.

The book is intended for all researches, welding engineers, mechanical design engineers, research engineers and postgraduate students who deal with problems such as microstructure modeling of welds, analysis of the mechanical properties of welded metals, weldability, residual stresses and distortions, optimization of welding and allied processes (prewelding heating, cladding, thermal cutting, additive technologies, etc.). It also offers a useful reference guide for software engineers who are interested in writing application software for simulating welding processes, microstructure modeling, residual stress analysis of welds, and for robotic-welding control systems.


Rosenthal and Rykalin moving heat sources fusion welding processes heat sources in a semi-infinite body heat sources in a plane layer heat sources in a cylinder weaving sources pulsed power sources microstructure prdeiction

Authors and affiliations

  1. 1.Department of Welding and Laser TechnologiesSt. Petersburg Polytechnic UniversitySt. PetersburgRussia

About the authors

Victor A. KARKHIN is a Professor at the Department of Welding and Laser Technologies, Peter the Great St. Petersburg Polytechnic University, Russia as well as an Honorary Doctor of Lappeenranta University of Technology, Finland. Has published more than 300 research and educational papers on the theory of welding processes, strength of welded structures, theory of welding stresses and distortion, mathematical modeling and optimization of technological processes. Has been a lecturer at various universities in the USSR, Germany, Norway and Finland. He is a Commission member of the International Institute of Welding and the International Organization for Standardization. His article “Inverse Modelling of Fusion Welding Processes” was awarded the Kenneth Easterling Best Paper Award by the International Institute of Welding.

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