Simulation Of A Weld Pool Interface Motion By
A Variational Inequality Approach
Author(s)
D. D. Doan, F. Gabriel, Y. Jarny & P. Le Masson
Abstract
This work deals with the numerical simulation of the temperature field within the
solid part of a metallic piece during a welding process. By using an integral
transformation such as the Duvaut’s transform, the direct heat transfer problem is
formulated as a parabolic variational inequality in a fixed domain. It consists of
determining the temperature distribution in the solid region, coupled with the
location and the motion of the weld pool interface and the heat flow crossing it,
which is modelled by a Stefan’s condition. The method is applied to numerically
solve the solution of a phase change problem formulated in a 2-D cylindrical
geometry. The computed temperature field is compared with results given by a
standard method.
Keywords: Stefan problem, front of fusion, heat source, Duvaut’s transform,
variational inequality, finite element.
1 Introduction
Fusion welding is the most frequently used metal joining method. It is a process
by which the edges of two pieces of metal are melted and fused together. This is
accomplished by using an intense local energy source. During the heating and
cooling cycles while welding, thermal strains occur and generate residual
stresses and distortions in the welded structure. One of the major industrial
challenges is to predict these mechanical effects. Thus, in order to evaluate these
mechanical effects with accuracy, it is necessary to have a thermal model which
takes in to account the welding process.
Keywords
Stefan problem, front of fusion, heat source, Duvaut’s transform,
variational inequality, finite element.
Related Book
Other papers in this volume
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