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1種新的模擬鋁合金鑄態(tài)組織的隨機性方法
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TF30 FR11

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國家自然科學基金重點項目(59990470-3),國家重點基礎(chǔ)研究規(guī)劃項目(G2000067208-3),清華大學校內(nèi)基金資助


A New Stochastic Modeling Method for the Microstructure of Aluminum Alloy
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    摘要:

    采用1種新的隨機性模擬方法并與宏觀傳熱過程相耦合,對鋁合金的微觀組織進行了模擬研究。計算中采用了簡化的枝晶形狀。建立了簡化的枝晶形狀的物理與數(shù)學模型,并提出了1種形狀函數(shù)來描述晶粒的外部輪廓?;诤喕木ЯP螤?,采用坐標變換技術(shù)來描述過冷液相中晶粒的生長過程及其對周圍節(jié)點的捕獲過程。連續(xù)形核模型被用來處理異質(zhì)形核現(xiàn)象,在生長模型中則考慮了枝晶尖端生長動力學和擇優(yōu)生長方向。開發(fā)了等軸晶生長的模擬程序,并進行了二維計算。進行了澆注金屬型和砂型試樣的模擬驗證實驗。結(jié)果表明,對兩種不同的工藝,所得到的晶粒組織不同,金屬型鑄造時得到的晶粒尺寸較小,砂型鑄造的較大。模擬結(jié)果與金相觀察結(jié)果相符。

    Abstract:

    Microstructure modeling of aluminum alloy castings has been carried out by using a new stochastic modeling methods coupled with macro heat transfer calculations. The actual dendritic shape is substituted for the square envelope in the cellular automaton model. A physical model and a mathematical model for the simplified dendrite shape are established in the paper, in which a shape function is presented to describe the dendrite shape contour. On the basis of the simplified grain shape, a coordinate transformation method is used to describe the equiaxed grain growth in the undercooled melts and the node capturing during the further growth of a grain. A continuous nucleation model is applied to deal with heterogeneous nucleation phenomenona. Dendrite tip growth kinetics and preferential <100> crystallographic orientation are taken into account. The stochastic nature of nucleation process as well as the deterministic of dendrite growth is considered to simulate the crystal growth. A microstructure simulation scheme is developed to model the grain formation according to the above model. Two- dimensional calculations are performed to simulate the evolution of equiaxed dendritic morphologies. In order to verify the modeling results, sample castings are cast in sand molds and metal molds. Simulation results show that grain size is smaller for metal mold casting, but larger for sand mold casting, in good agreement with both the experimental results and the postulated solidification mechanism.

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許慶彥 馮偉明 熊守美 柳百成.1種新的模擬鋁合金鑄態(tài)組織的隨機性方法[J].稀有金屬材料與工程,2003,(8):591~595.[Xu Qingyan, Feng Weiming, Xiong Shoumei, Liu Baicheng. A New Stochastic Modeling Method for the Microstructure of Aluminum Alloy[J]. Rare Metal Materials and Engineering,2003,(8):591~595.]
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  • 最后修改日期:2001-11-27
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