Transient Temperature Distribution in Arc Welding of Finite Thickness Plates

Abstract

This paper introduces a new analytical solution to predict the transient temperature distributions in a finite thickness plate during arc welding. This analytical solution is obtained by solving a transient three-dimensional heat conduction equation with convection boundary conditions at the surfaces of the weldment. The heat source due to electric arc is assumed to take a travelling Gaussian distribution. T o prove the validity of the model, a series of G T A bead-on-plate welding were performed on a medium carbon steel under various welding conditions. The isothermal lines of the cross-sectional view at various distancesfrom the arc start were examined and compwed with those predicted by the proposed analytical model. The results show that the finite thickness solution well predicts the transient temperature distribution of the finite thickness or thin plates with satisfactory accuracy. Due to the simplicity of the solution method, the developed analytical model may be implemented to the feedback control of the arc welding process or to the optimization of the process parameters.

Modeling of Temperature Field during Multi-Pass GMAW Surfacing or Rebuilding of Steel Elements Taking into Account the Heat of the Deposit Metal

“…In the analytical solutions, the influence of phase transformation heat (both solid and liquid) is generally ignored, thermo-physical properties of the material are assumed to be independent of temperature, and only the conduction effect is taken into consideration (the radiation phenomenon and the gravity field are omitted), also Joule heat (for electric arc welding) is omitted [6][7][8][9][10][11][12][13][14][53][54][55][56][57][58]. Such assumptions were also adopted in this work.…”

“…Na and Lee [5] used an annular heat source where the intensity of the heat flux within the center of the arc welding was determined according to the parameter defined as the radius at which the intensity of the arc power was 5% of the maximum intensity. Bo and Cho [6] derived an analytical solution for transient temperature field in finite thickness plate during single-pass arc welding, assuming Gaussian distribution of heat source. An analytical solution for temporary temperature field of fillet weld has been presented by Jeong and Cho [7] and wasapplied by Fassani and Trevisan [8] to compare the thermal cycles during multi-pass gas metal arc welding (GMAW) which was computed for Rosenthal's models of point heat sources and one-dimensional (1D) Gaussian.…”

The model of temporary temperature field during multi-pass arc weld surfacing. Part I: Analitycal description

“…The model of double ellipsoidal, three-dimensional heat source was first introduced by Goldak et al [1]. Since then many researchers have tried to determine the temperature field closest to real distribution using analytical methods [17][18][19][20][21].…”

A study of parametric effects on thermal profile of submerged arc welding process

“…They were shown that the convective heat transfer is more effective than radiation in temperature calculations; therefore the radiation can be neglected. Boo and Cho (1990) studied a model to obtain the transient temperature distributions in a finite thickness plate by solving a transient three-dimensional heat conduction equation with convection boundary conditions at the surfaces of the weldment during arc welding. In 1984, the finite difference method has been introduced for stationary and axisymmetric GTAW process with a moving boundary by Oreper and Szekely (1984).…”