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.
