A cellular automata model for simulating grain structures with straight and hyperbolic interfaces

A. Ramírez-López, M. Palomar-Pardavé, D. Muñoz-Negrón, C. Duran-Valencia, S. López-Ramirez, G. Soto-Cortés

分享

计量
  • 文章访问数: 
  • HTML全文浏览量: 
  • PDF下载量: 
  • 被引次数: 0

目录

HTML全文
    资源附件(0)
    相关文章
    施引文献

    Cite this article as:

    A. Ramírez-López, M. Palomar-Pardavé, D. Muñoz-Negrón, C. Duran-Valencia, S. López-Ramirez, and G. Soto-Cortés, A cellular automata model for simulating grain structures with straight and hyperbolic interfaces, Int. J. Miner. Metall. Mater., 19(2012), No. 8, pp.699-710. https://dx.doi.org/10.1007/s12613-012-0616-0
    A. Ramírez-López, M. Palomar-Pardavé, D. Muñoz-Negrón, C. Duran-Valencia, S. López-Ramirez, and G. Soto-Cortés, A cellular automata model for simulating grain structures with straight and hyperbolic interfaces, Int. J. Miner. Metall. Mater., 19(2012), No. 8, pp.699-710. https://dx.doi.org/10.1007/s12613-012-0616-0
    shu
    引用本文 PDF XML SpringerLink

    A cellular automata model for simulating grain structures with straight and hyperbolic interfaces

    • Materials and Energy Department, Metropolitan Autonomous University, Mexico

    • Department of Industrial Engineering, Technological Autonomous Institute of Mexico, Mexico

    • Department of Molecular Engineering, Mexican Institute of Petroleum, Mexico

      通信作者:

      A. Ramírez-López E-mail: adaramil@yahoo.com.mx

    中文摘要

    A description of a mathematical algorithm for simulating grain structures with straight and hyperbolic interfaces is shown. The presence of straight and hyperbolic interfaces in many grain structures of metallic materials is due to different solidification conditions, including different solidification speeds, growth directions, and delaying on the nucleation times of each nucleated node. Grain growth is a complex problem to be simulated; therefore, computational methods based on the chaos theory have been developed for this purpose. Straight and hyperbolic interfaces are between columnar and equiaxed grain structures or in transition zones. The algorithm developed in this work involves random distributions of temperature to assign preferential probabilities to each node of the simulated sample for nucleation according to previously defined boundary conditions. Moreover, more than one single nucleation process can be established in order to generate hyperbolic interfaces between the grains. The appearance of new nucleated nodes is declared in sequences with a particular number of nucleated nodes and a number of steps for execution. This input information influences directly on the final grain structure (grain size and distribution). Preferential growth directions are also established to obtain equiaxed and columnar grains. The simulation is done using routines for nucleation and growth nested inside the main function. Here, random numbers are generated to place the coordinates of each new nucleated node at each nucleation sequence according to a solidification probability. Nucleation and growth routines are executed as a function of nodal availability in order to know if a node will be part of a grain. Finally, this information is saved in a two-dimensional computational array and displayed on the computer screen placing color pixels on the corresponding position forming an image as is done in cellular automaton.

     

    A cellular automata model for simulating grain structures with straight and hyperbolic interfaces

    Author Affilications

      • Materials and Energy Department, Metropolitan Autonomous University, Mexico

      • Department of Industrial Engineering, Technological Autonomous Institute of Mexico, Mexico

      • Department of Molecular Engineering, Mexican Institute of Petroleum, Mexico

    • Received: 10 May 2011; Revised: 03 July 2011; Accepted: 10 July 2011;
    A description of a mathematical algorithm for simulating grain structures with straight and hyperbolic interfaces is shown. The presence of straight and hyperbolic interfaces in many grain structures of metallic materials is due to different solidification conditions, including different solidification speeds, growth directions, and delaying on the nucleation times of each nucleated node. Grain growth is a complex problem to be simulated; therefore, computational methods based on the chaos theory have been developed for this purpose. Straight and hyperbolic interfaces are between columnar and equiaxed grain structures or in transition zones. The algorithm developed in this work involves random distributions of temperature to assign preferential probabilities to each node of the simulated sample for nucleation according to previously defined boundary conditions. Moreover, more than one single nucleation process can be established in order to generate hyperbolic interfaces between the grains. The appearance of new nucleated nodes is declared in sequences with a particular number of nucleated nodes and a number of steps for execution. This input information influences directly on the final grain structure (grain size and distribution). Preferential growth directions are also established to obtain equiaxed and columnar grains. The simulation is done using routines for nucleation and growth nested inside the main function. Here, random numbers are generated to place the coordinates of each new nucleated node at each nucleation sequence according to a solidification probability. Nucleation and growth routines are executed as a function of nodal availability in order to know if a node will be part of a grain. Finally, this information is saved in a two-dimensional computational array and displayed on the computer screen placing color pixels on the corresponding position forming an image as is done in cellular automaton.

     

      HTML全文
      • 资源附件(0)
      • 相关文章
      施引文献

    Relative Articles

    Int. J. Miner. Metall. Mater., 2018, 25(11): 1354-1361.

    PDF View details

    Li Feng, Chang Guan, Ji-rong Chang, Hai-min Zhai, Guo-sheng An, Wen-sheng Li. Preparation and performance of a cold gas dynamic sprayed high-aluminum bronze coating [J]. 矿物冶金与材料学报（英文版）. DOI: 10.1007/s12613-018-1689-1

    View details

    Int. J. Miner. Metall. Mater., 2018, 25(11): 1320-1328.

    PDF View details

    Wen-rui Wang, Hui-fa Xie, Lu Xie, Han-lin Li, Xiao Yang, Yi-nan Shen. Anti-penetration performance of high entropy alloy-ceramic gradient composites [J]. 矿物冶金与材料学报（英文版）. DOI: 10.1007/s12613-018-1685-5

    View details

    Int. J. Miner. Metall. Mater., 2013, 20(5): 462-471.

    PDF View details

    Khamphee Jitchaiyaphum, Theerawat Sinsiri, Chai Jaturapitakkul, Prinya Chindaprasirt. Cellular lightweight concrete containing high-calcium fly ash and natural zeolite [J]. 矿物冶金与材料学报（英文版）. DOI: 10.1007/s12613-013-0752-1

    View details

    Int. J. Miner. Metall. Mater., 2013, 20(2): 205-213.

    PDF View details

    Fareed Ahmed Memon, Muhd Fadhil Nuruddin, Nasir Shafiq. Effect of silica fume on the fresh and hardened properties of fly ash-based self-compacting geopolymer concrete [J]. 矿物冶金与材料学报（英文版）. DOI: 10.1007/s12613-013-0714-7

    View details

    Int. J. Miner. Metall. Mater., 2013, 20(1): 94-105.

    PDF View details

    Kinaanath Hussain, Pongsak Choktaweekarn, Warangkana Saengsoy, Theerati Srichan, Somnuk Tangtermsirikul. Effect of cement types, mineral admixtures, and bottom ash on the curing sensitivity of concrete [J]. 矿物冶金与材料学报（英文版）. DOI: 10.1007/s12613-013-0699-2

    View details

    Int. J. Miner. Metall. Mater., 2012, 19(3): 252-258.

    PDF View details

    Le Anh-tuan Bui, Chun-tsun Chen, Chao-lung Hwang, Wei-sheng Wu. Effect of silica forms in rice husk ash on the properties of concrete [J]. 矿物冶金与材料学报（英文版）. DOI: 10.1007/s12613-012-0547-9

    View details

    Int. J. Miner. Metall. Mater., 2012, 19(1): 38-47.

    PDF View details

    Jin-jie Shi, Wei Sun. Electrochemical and analytical characterization of three corrosion inhibitors of steel in simulated concrete pore solutions [J]. 矿物冶金与材料学报（英文版）. DOI: 10.1007/s12613-012-0512-7

    View details

    Int. J. Miner. Metall. Mater., 2011, 18(1): 89-93.

    PDF View details

    Yu-Chu Peng, Chao-Lung Hwang. Development of high performance and high strength heavy concrete for radiation shielding structures [J]. 矿物冶金与材料学报（英文版）. DOI: 10.1007/s12613-011-0405-1

    View details

    Int. J. Miner. Metall. Mater., 2010, 17(3): 363-370.

    PDF View details

    Oğuzhan Keleştemur. Utilization of waste vehicle tires in concrete and its effect on the corrosion behavior of reinforcing steels [J]. 矿物冶金与材料学报（英文版）. DOI: 10.1007/s12613-010-0319-3

    View details

    Int. J. Miner. Metall. Mater., 2009, 16(6): 714-719.

    PDF View details

    P. Chindaprasirt, S. Hatanaka, N. Mishima, Y. Yuasa, T. Chareerat. Effects of binder strength and aggregate size on the compressive strength and void ratio of porous concrete [J]. 矿物冶金与材料学报（英文版）. DOI: 10.1016/S1674-4799(10)60018-0

    View details

    /

    返回文章
    返回

    版权所有 © 《矿物冶金与材料学报（英文）》编辑部

    地址: 北京市海淀区学院路30号邮政编码: 100083

    电子邮箱：journal@ustb.edu.cn电话：+86-10-62332875

    本系统由北京仁和汇智信息技术有限公司开发      百度统计