Abstract The lamellar growth with solid-solid boundary anisotropy during directional solidification is studied by phase-field method. An anisotropy function with forbidden orientation is adopted. The influence of anisotropy on steady and unsteady lamellar morphology is analyzed. For the steady patterns, the locked and floating lamellae can be distinguished under current anisotropy function. The curve of tilted angle versus rotation angle of crystallographic orientation can be divided into a locked branch, a floating branch, and a “discontinuous angle jump” between the two branches in the simulation results. Because the locked lamellae have smaller contact angles, the growth undercooling of locked lamellae is smaller than that of floating lamellae. As rotation angle and lamellar spacing vary, the unsteady lamellar morphology exhibits three types of oscillations: floating oscillation, locked oscillation and mixed oscillation. Both rotation angle and lamellar spacing are the inducer of mixed oscillation. With the increase of lamellar spacing, the amplitude of oscillation increases regardless of the type of oscillation. Furthermore, a lamellar morphology transition map is obtained which gives a detailed exhibition of the influence of rotation angle and lamellar spacing.

中文翻译：

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具有固-固边界各向异性的层状共晶生长的相场研究

摘要 采用相场法研究了定向凝固过程中固固边界各向异性的层状生长。采用具有禁止取向的各向异性函数。分析了各向异性对稳态和非稳态层状形态的影响。对于稳定模式，可以在电流各向异性函数下区分锁定和浮动薄片。在模拟结果中，倾斜角与晶体取向旋转角的曲线可以分为锁定分支、浮动分支和两个分支之间的“不连续角跳跃”。由于锁片接触角较小，锁片的生长过冷度小于浮动片。随着旋转角度和层间距的变化，非稳态层状形态表现出三种振荡类型：浮动振荡、锁定振荡和混合振荡。旋转角和层间距都是混合振荡的诱发因素。随着层间距的增加，无论振荡类型如何，振荡幅度都会增加。此外，获得了层状形态过渡图，详细展示了旋转角度和层状间距的影响。