Civil Engineering Reference
In-Depth Information
FIGURE 6.7
Experimentally measured shape of solidification boundary at top surface and transverse cross section
of meltpool corresponding to welding parameters for case 1. Included is a prototype
Ac
1 boundary.
FIGURE 6.8
Experimentally measured tranverse cross section of meltpool corresponding to welding parameters
for case 2. Included are prototype
Ac
1 and
Ac
3 boundaries.
For this case the first stage of our analysis entails the generation of a three-dimensional isothermal surface
at
T
M
whose transverse projection maps onto the experimentally measured transverse cross section of the
solidification boundary. This procedure is undertaken by means of a generating function
T
E
(
x
) defined by
Eq. (6.11). At this stage, one may assume various levels of approximation since the primary objective at this
point is the generation of an isothermal surface and not of the temperature field defined over the entire
solution domain. If one adopts, however, a reasonably accurate Rosenthal-type solution as a generating
function
T
E
(
x
) then there will be generated (in addition to an experimentally consistent solidification
