J. Trappe et al., ON THE SHAPE AND LOCATION OF THE KEYHOLE IN PENETRATION LASER-WELDING, Journal of physics. D, Applied physics, 27(10), 1994, pp. 2152-2154
A simple quasi one-dimensional self-consistent model of the keyhole in
penetration laser welding has been given previously. By considering t
he equation of heat conduction and the pressure balance at the keyhole
wall, the radius of the keyhole was obtained. The keyhole was assumed
to be a circle, concentric to the laser beam. In the present paper we
drop these restrictions. The keyhole boundary is considered to be a f
ree curve, adjusting itself to the physical mechanism previously formu
lated. The so obtained Stefan problem is solved numerically with a fin
ite element method. The keyhole boundary deviated only slightly from a
circle but was shifted with respect to the laser beam, depending on w
elding speed and laser power. The temperature is found to be nearly co
nstant at the keyhole boundary. Our results give justification to prev
ious investigations, which considered a constant temperature along the
keyhole wall as a boundary condition for the equation of heat conduct
ion.