Abstract
It is of high importance to determine the distribution of thermal fields in arc fusion welding processes due to their influence on mechanical properties and quality of welded joints. This paper presents analytical models for 2D and 3D heat conduction based on solutions of the Fourier’s heat conduction differential equation. Furthermore, authors provide simplified equations for the calculation of cooling time and cooling rate for 2D and 3D heat conduction models.
Highlights
There are various approaches to determining the distribution of thermal fields in fusion welding
This paper provides analytical solutions that describe 2D and 3D heat conduction in arc fusion welding, as well as simplified expressions used for determining the heat input within the process of designing the welding technology
Under the assumption that the coordinate system is movable and that its origin is always located in the middle of the heat source, some simplified expressions may be derived that describe the effect of movable heat sources on common solid models in welding
Summary
There are various approaches to determining the distribution of thermal fields in fusion welding. The heat input in the basic material being welded heats the material in the merging point up to and above the fusion within a relatively short period of time. This is followed by cooling at a defined speed, whose consequences are mechanical properties at the joint place (strength, toughness, hardness, ...), depending on the cooling mode, i.e. the cooling rate of individual welded joint points. The cooling cycle depends on the amount of previously input heat, physical properties of materials (λ, c, ρ, a), shape and dimensions of the material being welded and other variables of influence
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