Finite volume methods applied to the computational modelling of welding phenomena

Abstract This paper presents the computational modelling of welding phenomena within a versatile numerical framework. The framework embraces models from both the fields of computational fluid dynamics (CFD) and computational solid mechanics (CSM). With regard to the CFD modelling of the weld pool fluid dynamics, heat transfer and phase change, cell-centred finite volume (FV) methods are employed. Additionally, novel vertex-based FV methods are employed with regard to the elasto-plastic deformation associated with the CSM. The FV methods are included within an integrated modelling framework, P hysica , which can be readily applied to unstructured meshes. The modelling techniques are validated against a variety of reference solutions.

[1]  Thomas Zacharia,et al.  Computational modeling of stationary gastungsten-arc weld pools and comparison to stainless steel 304 experimental results , 1991 .

[2]  Yu. P. Gupalo,et al.  Thermocapillary motion of a liquid with a free surface with nonlinear dependence of the surface tension on the temperature , 1988 .

[3]  Lars-Erik Lindgren,et al.  Deformations and stresses in welding of shell structures , 1988 .

[4]  S N Kiselev,et al.  Current aspects of computer modelling thermal and deformation stresses and structure formation in welding and related technologies , 1999 .

[5]  Gareth A. Taylor A vertex based discretisation scheme applied to material non-linearity within a multi-physics finite volume framework , 1996 .

[6]  D. Rosenthal,et al.  The Theory of Moving Sources of Heat and Its Application to Metal Treatments , 1946, Journal of Fluids Engineering.

[7]  J. Goldak,et al.  Computational weld mechanics: A progress report on ten grand challenges , 1996 .

[8]  E. Friedman Thermomechanical Analysis of the Welding Process Using the Finite Element Method , 1975 .

[9]  Mikael Jonsson,et al.  Experimentally determined transient and residual stresses in a butt-welded pipe , 1988 .

[10]  J. Goldak,et al.  A new finite element model for welding heat sources , 1984 .

[11]  Sindo Kou,et al.  Marangoni convection in weld pools with a free surface , 1989 .

[12]  Chris Bailey,et al.  Numerical modelling and validation of Marangoni and surface tension phenomena using the finite volume method , 2000 .

[13]  Chris Bailey,et al.  Study of Marangoni phenomena in laser-melted pools , 1995 .

[14]  J. Goldak,et al.  Computer modeling of heat flow in welds , 1986 .

[15]  T. N. Croft,et al.  Unstructured mesh : finite volume algorithms for swirling, turbulent, reacting flows , 1998 .

[16]  P. Perzyna Fundamental Problems in Viscoplasticity , 1966 .