金属学报
金屬學報
금속학보
ACTA METALLURGICA SINICA
2009年
10期
1237-1241
,共5页
动力学各向异性%分形生长%枝晶生长%相场模型%自适应有限元法
動力學各嚮異性%分形生長%枝晶生長%相場模型%自適應有限元法
동역학각향이성%분형생장%지정생장%상장모형%자괄응유한원법
kinetic anisotropy%fractal growth%dendrite growth%phase-field model%adaptive finite element method
采用相场模型定量模拟了动力学各向异性作用下过冷熔体中的晶体生长过程.模拟结果表明,仅存在动力学各向异性时,各向异性系数大小对生长方式选择起着决定性作用.当各向异性较低时,固相以分形方式生长,在生长过程中不存在占优势的生长方向,同时也不存在稳态生长状态;而当各向异性系数大于0.02时,固相以枝晶方式沿<110>方向生长.进一步研究表明,枝晶生长稳定性系数随各向异性值的增加而增加,而与动力学系数取值无关.
採用相場模型定量模擬瞭動力學各嚮異性作用下過冷鎔體中的晶體生長過程.模擬結果錶明,僅存在動力學各嚮異性時,各嚮異性繫數大小對生長方式選擇起著決定性作用.噹各嚮異性較低時,固相以分形方式生長,在生長過程中不存在佔優勢的生長方嚮,同時也不存在穩態生長狀態;而噹各嚮異性繫數大于0.02時,固相以枝晶方式沿<110>方嚮生長.進一步研究錶明,枝晶生長穩定性繫數隨各嚮異性值的增加而增加,而與動力學繫數取值無關.
채용상장모형정량모의료동역학각향이성작용하과랭용체중적정체생장과정.모의결과표명,부존재동역학각향이성시,각향이성계수대소대생장방식선택기착결정성작용.당각향이성교저시,고상이분형방식생장,재생장과정중불존재점우세적생장방향,동시야불존재은태생장상태;이당각향이성계수대우0.02시,고상이지정방식연<110>방향생장.진일보연구표명,지정생장은정성계수수각향이성치적증가이증가,이여동역학계수취치무관.
Solidification is generally determined by a complex interplay of heat and/or solute diffusion processes, capillary and/or kinetic effects of the solid/liquid interface. Theoretical analysis indicates that the crystal growth morphology and behavior both depend sensitively on the degree of the capillary and kinetic anisotropy. In present, the influences of capillary anisotropy on crystal growth process have been extensively studied, especially simulated by the phase-field model. Unfortunately, the influences of kinetic anisotropy on the crystal growth morphology and behavior are seldom re-searched. In this paper, the phase-field model was employed to quantitatively simulate the effects of kinetic anisotropy on the crystal growth in undercooled melts. It is illustrated that the selection of the solid/liquid interface morphology is determined by the kinetic anisotropic parameter if the capillary anisotropy is set as zero. With a weak kinetic anisotropy, the melt solidifies in a fractal pattern, during which there is no obvious preferred growth direction, and any steady-state growth cannot be detected. As a strong anisotropy becomes greater than 0.02, the interface morphology changes to a dendritic pattern growth along the <110> orientation. Further analysis indicates that the stability parameter increases linearly with the increase of kinetic anisotropic parameter and is independent of the kinetic coefficient.