THE THERMAL-STRESS GENERATED BY A MOVING ELLIPTIC WELDPOOL IN THE WELDING OF THIN METAL SHEETS

In the welding of metal sheets by lasers or electric arcs, a problem o f considerable interest and importance is the formation of stresses an d strains in the material undergoing the welding process. This paper i nvestigates the process making use of the linear theory of elasticity. The non-uniform heating of the metal is allowed for by the presence o f an appropriate term in the stress tensor representing the temperatur e field. The weld pool is approximated by an elliptic region which is constant in cross sectional shape with depth. This paper calculates th e stresses in metal outside the molten region in the frame of the lase r using mainly analytical techniques and in its final stages evaluates these numerically for the cases of an unclamped as well as a clamped metal sheet. The results are found to be largely independent of the pa rticular metal when the stresses are expressed in dimensionless form. The effects of welding the metal with a laser are essentially reversib le in character when the analysis is restricted to linear elastic theo ry without phase changes.