CAJ | 학술논문

基于Karma模型和Eggleston修正强界面能各向异性的方法，建立HCP材料的强界面能各向异性相场模型。采用有限差分法对控制方程进行数值求解，模拟研究 HCP 材料的枝晶生长行为。结果表明：枝晶形貌呈现出明显的六重对称性，界面方向不连续，导致在主枝和侧枝的尖端出现棱角。当界面能的各向异性强度低于临界值(1/35)时，枝晶尖端稳态生长速度随着各向异性强度的增加而增加；当界面能各向异性强度值超过临界值时，尖端稳态生长速度降低0.89%；当进一步增加各向异性强度值时，尖端稳态速度增加且在各向异性强度值为0.04时达到极大值，随后减小。
기우Karma모형화Eggleston수정강계면능각향이성적방법，건립HCP재료적강계면능각향이성상장모형。채용유한차분법대공제방정진행수치구해，모의연구 HCP 재료적지정생장행위。결과표명：지정형모정현출명현적륙중대칭성，계면방향불련속，도치재주지화측지적첨단출현릉각。당계면능적각향이성강도저우림계치(1/35)시，지정첨단은태생장속도수착각향이성강도적증가이증가；당계면능각향이성강도치초과림계치시，첨단은태생장속도강저0.89%；당진일보증가각향이성강도치시，첨단은태속도증가차재각향이성강도치위0.04시체도겁대치，수후감소。
Based on the Karma model and the Eggleston regularization technique of the strong interfacial energy anisotropy, a phase-field model was established for HCP materials. An explicit finite difference numerical method was used to solve phase field model and simulate the dendrite growth behaviors of HCP materials. Results indicate that the dendrite morphology presents obvious six-fold symmetry, and discontinuity in the variation of interface orientation occurs, resulting in a fact that the corners were formed at the tips of the main stem and side branches. When the interfacial energy anisotropy strength is lower than the critical value(1/35), the steady-state tip velocity of dendrite increases with anisotropy as expected. As the anisotropy strength crosses the critical value, the steady-state tip velocity drops down by about 0.89%. With further increase in anisotropy strength, the steady-state tip velocity increases and reaches the maximum value at anisotropy strength of 0.04, then decreases.