The process of isothermal solidification during transient liquid-phase (TLP
) bonding in a ternary system is analyzed. In the most usual situation, and
in contrast to the binary case, the composition of the liquid is required
to change continuously as solidification proceeds. If the solubilities and/
or diffusion coefficients of the two solutes are very different, the solidi
fication stage is clearly divided into two parabolic regimes, the first dom
inated by the "faster" solute and the second by the slower of the two. In e
xtreme cases, full solidification may not be realized in experimentally acc
essible times.