Micro-scale Cellular Automaton Modeling of Interface Evolution During Reaustenitization from Pearlite Structure in Steels

A modified cellular automaton model is developed to depict the interface evolution inside the cementite plus ferrite lamellar microstructures during the reaustenitization of a pearlite steel. In this model, migrations of both the austenite–ferrite and austenite–cementite interfaces coupled with the carbon diffusion and redistribution are integrated. The capillarity effect derived from local interface curvatures is also carefully considered by involving the concentration given by the phase diagram modified by the Gibbs–Thomson effect. This allows the interface evolution from a transient state to a steady state under different annealing conditions and various interlamellar spacings to be simulated. The proposed cellular automaton approach could be readily used to describe the kinetics of austenite formation from the lamellar pearlites and virtually reveal the kinematics of the moving interfaces from the microstructural aspect.     

Simulation of dendritic growth of magnesium alloys with fluid flow

Fluid flow has a significant impact on the microstructure evolution of alloys during solidification. Based on the previous work relating simulation of the dendritic growth of magnesium alloys with hcp (hexagonal close-packed) structure, an extension was made to the formerly established CA (cellular automaton) model with the purpose of studying the effect of fluid flow on the dendritic growth of magnesium alloys. The modified projection method was used to solve the transport equations of flow field. By coupling the flow field with the solute field, simulation results of equiaxed and columnar dendritic growth of magnesium alloys with fluid flow were achieved. The simulated results were quantitatively compared with those without fluid flow. Moreover, a comparison was also made between the present work and previous works conducted by others. It can be concluded that a deep understanding of the dendritic growth of magnesium alloys with fluid flow can be obtained by applying the present numerical model.     

Numerical simulation of microstructure evolution on near eutectic spheroidal graphite cast iron

A multiphase cellular automaton model was developed to simulate microstructure evolution of near eutectic spheroidal graphite cast iron (SGI) during its solidification process, and both dendritic austenite and spheroidal graphite growth models were adopted. To deduce the mesh anisotropy of cellular automaton method, the composition averaging and geometrical parameter were introduced to simulate the spheroidal graphite growth. Solute balance method and decentered square algorithms were employed to simulate austenite dendrites growth with different crystallographic orientations. The simulated results indicate that the graphite nodule grows in a spherical morphology when the surrounding environment of a single graphite nodule is same. However, for two adjacent graphite nodules, the environment is different. The higher the carbon concentration, the faster the growth of graphite. By comparison with experimental results, it is found that the microstructure evolution of near eutectic spheroidal graphite cast iron during solidification process can be reproduced quantitatively by numerical simulation with this model.     

一维水锤问题的格子气自动机

给出一维关阀断流水锤问题的时间、空间、流体完全离散的格子气自动机。     

Simulation of the rock microfracturing process under uniaxial compression using an elasto-plastic cellular automaton

In this paper, an elasto-plastic cellular automaton (EPCA) with the associated code was developed to simulate the non-linear fracturing process of rocks under uniaxial compression. It is a useful method for simulating the process of self-organization of the complex system using simple rules. It has the advantages of localization, parallelization, and being able to consider the heterogeneity of rocks. By this means, the fracturing processes, stress–strain curves, acoustic emissions, and compressive strength of 2-D heterogeneous rock specimens under uniaxial compression were numerically investigated using the EPCA code for different cases such as: (1) the influence of the cyclic load; (2) the influence of inhomogeneity; (3) the effect of different softening coefficients; (4) the effect of specimen sizes and height/width ratios; (5) the effect of different spatial distributions of material parameters; (6) the influence of different yield criteria; and (7) the influence of the residual strength coefficient. The results indicate that the numerical simulation reproduced some of the well-known phenomena observed by previous researchers in uniaxial compression tests.     

自动机循环图设计理论的再认识

对自动机循环图设计中的同步化问题进行了研究，指出了现有理论的不足。通过对同步化问题重新分类，提出了解决各类问题的方法，使循环图设计理论更为系统和完善。     

XML Schema的正规表示及模式验证的实现

分析XML文档结构特点,以及XML Schema的基本规则,结合自动机理论,探讨基于XML Schema的表示方法以及对XML进行模式验证的实现方法。     

Solute Redistribution with Shear Flow in Molten Pool of Ni-Cr Alloy

Columnar grain growth with shear flow in molten pool of Ni-Cr alloy was simulated with a coupled model of grain growth and solute transport.The results indicate that shear flow alters solute distribution at the vicinity of columnar grains.The solute concentration gradient on the upstream side is greater,while that on the downstream side is smaller,leading to asymmetrical growth of columnar grains.In the interior of a columnar grain,solute concentration increases from the bottom to the dendrite tip,but the rate of increase tends to be reduced.The simulated results are consistent with the experiments.     

裂隙花岗岩各向异性蠕变特性研究

 由于岩石的非均质性、裂隙的存在以及所处地质环境的复杂性,岩样在蠕变破坏过程中通常表现出各向异性的特点。为了描述岩石的这种各向异性蠕变性质,在经典弹黏塑性理论的基础上,提出黏塑性流动系数张量表达式,建立岩石各向异性弹黏塑性蠕变模型,将该模型嵌入到三维弹塑性细胞自动机模型中,开发岩石蠕变过程分析的三维弹黏塑性细胞自动机模拟系统(EPCA3D-EVP),建立非均质岩石蠕变破坏过程的分析方法,该方法通过常规三轴数值试验来确定细观单元的强度和变形参数,通过蠕变试验确定其黏塑性流动系数,克服岩石力学模拟中“数据有限”的瓶颈问题,并通过对甘肃北山核废物地下处置候选场址的裂隙花岗岩三轴蠕变试验验证该模型和分析方法的正确性,合理地描述裂隙花岗岩在渗流–应力作用下产生各向异性的宏观现象。     

焊缝金属凝固组织元胞自动机模拟

应用元胞自动机方法进行了焊缝金属凝固组织的模拟.所建立的焊缝凝固组织二维元胞自动机模型考虑了晶粒的概率性成核、曲率过冷、温度过冷、成分过冷、潜热的释放、溶质浓度的再分布以及焊接熔池晶粒的联生长大等影响因素.模型在统一网格下分别采用差分法计算温度和溶质的扩散,应用元胞自动机方法模拟晶粒形核及生长.模拟结果能够定性地再现焊缝金属晶粒择优取向与竞争长大机制.结果表明,元胞自动机方法较好地反映了焊缝金属凝固的特点,是焊缝凝固组织模拟的新途径.