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建立了单相合金凝固过程中固液界面扰动波振幅随时间变化的非线性动力学方程,解此方程,得到了在不同凝固条件下,随着凝固速度的增加,固液平界面失稳(mG_c>G)分岔后,胞枝晶开始稳定生长的条件;当固液界面向前推进速度较大即亚快速和快速凝固条件下,粗枝晶先稳(mG_c<Гω~2+G)分岔后,细枝晶细胞晶开始稳定生长的条件,同时得出了稳定态胞晶、枝晶尖端的半径、固液界面干扰波的振幅和波长三者之间的关系式.
The nonlinear dynamic equation of the disturbance wave amplitude at solid-liquid interface during the solidification process of single-phase alloy was established. By solving this equation, the solid-liquid interface instability was obtained under different solidification conditions with the increase of solidification rate After the bifurcation, the dendrites began to grow steadily; when the solid-liquid interface was advancing at a faster speed, ie sub-fast and rapidly solidified, the dendritic grains first stabilized (mG_c <Гω ~ 2 + G) After the bifurcation, the fine dendrites begin to grow steadily. At the same time, the relationship between the steady state cell radius, the radius of the dendrite tip, the amplitude and the wavelength of the interference wave at the solid-liquid interface is obtained.