Analysis of Welds Using Geometric Constraints - Manufacturing Systems Processes - page 202

FIGURE 6.9 Cross sections of estimated temperature field calculated by means of a generating function with the
condition that the isothermal surface at T M is consistent with Fig. 6.8 . The temperature fields shown in Figs. (6.9a)
and ( 6.9b ) are those on the top surface and symmetry planes, respectively, of the model system.
boundary) a reasonably close estimate of the temperature field at other regions of the solution domain. Note
that for this case, however, adopting the temperature field generated by T E ( x ) as a very close estimate of the
solution represents the equivalent of the method of distributed heat sources and does not permit inclusion
of any constraints other than those associated with a single surface extending within the solution domain.
Shown in Fig. 6.9 are two-dimensional cross sections of a temperature field, calculated via a generating
function T E ( x ), for which the isothermal surface at T M is consistent with Fig. 6.8 . There are some features