A mathematical model is proposed to investigate the evolution of microstruc
tures due to rapid solidification in laser materials processing. The instab
ility of solid-liquid interface is analyzed by considering the diffusion pr
ocess and perturbation method. The results of this model show that the neut
ral stability curve is largely dependent on solidification rate and partiti
on coefficient. The decay, periodic oscillation, and growth of the perturba
tions at the solid-liquid interface can be regarded as planar, cellular and
dendritic microstructures, respectively. Laser spot welding experiments we
re conducted for stainless steel AISI 304 to verify the theoretical predict
ions. (C) 1999 Laser Institute of America. [S1042-346X(99)00102-3].