Compositional Optimum Design of the Ceramic Composite with Immune Genetic Algorithm

Abstract:

In this paper, the immune genetic algorithm (IGA) is used to optimize the compositions of the Al₂O₃/SiC/Ti(C,N) ceramic composite material. Corresponding to the optimal mechanical properties such as fracture toughness, hardness and flexural strength, the optimum material compositions have been achieved. The convergent speed of IGA is faster than that of the single immune algorithm, and the number of iteration is also reduced obviously. As a result, the efficiency of optimization is increased.

• Periodical: Applied Mechanics and Materials (Volumes 66-68)
• Pages: 1562-1567
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.66-68.1562
• Online since: July 2011
• Authors: Hui Fa Zhang, Chong Hai Xu, Xing Hai Wang, Jing Jie Zhang
• Keywords: Ceramic Composite Material, Compositional Optimization, Immune Genetic Algorithm

References

[10] [15] [20] [25] [30] [35] [40] [45] [50] 5. 36.

[5] 5. 34 5. 342 5. 344 5. 346 5. 348 5. 35 5. 352 5. 354 5. 356 5. 358 Generations KIC (MPa·m1/2) ) 733.

[3] [0] [5] [10] [15] [20] [25] [30] [35] [40] [45] [50] 726 727 728 729 730 731 732 Generations σ (MPa) (a) Fracture toughness (b) Flexural strength.

[5] [10] [15] [20] [25] [30] [35] [40] [45] [50] 20. 56 20. 58 20. 6 20. 62 20. 64 20. 66 20. 68 20. 7 20. 72 Generations H (GPa) (c) Hardness Fig. 2 The optimal results of IGA algorithm respectively. It can be seen from Fig. 2 that some inflection points appear at convergence process of the algorithm. These points are local best points, but the searching doesn't stop at these points, and skips to greater extremum nearby. The fitness values change little after searching at these points many times, therefore the global optimums are found. The compositions of materials when mechanical properties are best are obtained. The optimal results are shown in Table 1. Table 1 The optimal results of IGA VSiC (vol%) VTi(C, N) (vol%) Maximum 12. 65 17. 61 KIC: 5. 36 MPa·m1/2.

DOI: 10.1145/359581.359599

30. 06 σ: 731. 96 MPa 13. 23 31. 64 H: 20. 04 GPa Results Analysis and Discussion The immune algorithm is used for the optimization design of ceramic composite material in literature [7]. The material and the objective functions are the same. The constituent of material when mechanical properties are best are obtained also. The Fig. 3 is the result comparison between immune algorithm and immune genetic algorithm. The figure 3 (a), (d) and (c) corresponds to the optimal result of fracture toughness, hardness and flexural strength, respectively. In these figures, the full lines show the results of immune algorithm, and the dashed lines show the results of immune genetic algorithm. 5. 36 Generations.

DOI: 10.4028/www.scientific.net/msf.704-705.1083

[5] [10] [15] [20] [25] [30] [35] [40] [45] [50] 5. 34 5. 342 5. 344 5. 346 5. 348 5. 35 5. 352 5. 354 5. 356 5. 358 IA IGA KIC (MPa·m1/2) ).

[5] [10] [15] [20] [25] [30] [35] [40] [45] [50] 726 727 728 729 730.

731 732 733 Generations σ (MPa) IA IGA (a) Fracture toughness (b) Flexural strength.

[5] [10] [15] [20] [25] [30] [35] [40] [45] [50] 20. 56 20. 58 20. 6 20. 62 20. 64 20. 66 20. 68 20. 7 20. 72 Generations H (GPa) IA IGA (c) Hardness Fig. 3 The optimal results comparison between IA and IGA Compared with the result, the optimum values of these two algorithms are the same, and these two algorithms converge to global optimum both. The phenomenon of local convergence does not appear in optimal process, but the convergence rate of immune genetic algorithm is increased. These three mechanical properties are convergent when the optimal generation number is 25, 20 and 15 in immune algorithm respectively, but the generation number is 10, 13 and 12 in immune genetic algorithm respectively, and the decrease of generation number is very obvious. So the combined algorithm can improve the property of single immune algorithm, and the defect of genetic algorithm is avoided. The efficiency of optimal design is improved. Summry In this paper, the combination of immune algorithm and genetic algorithm is realized, and the combined algorithm is used for the optimal design of ceramic composite material. The immune genetic algorithm is effective in optimizing the mechanical properties of ceramic composite materials. The composition of material is obtained, and the optimization design of ceramic composite material is realized. Comparing the results of single immune algorithm, the immune genetic algorithm can improve the speed of convergence, and the optimal time would be shortened, and the design efficiency of ceramic composite material would be increased. Acknowledgements This work is supported by the Program for New Century Excellent Talents in University of China (Grant No. NCET-10-0866), Shandong Provincial Natural Science Foundation for Distinguished Young Scholars, China (Grant No. JQ201014), the National Natural Science Foundation of China (Grant No. 51075248) and the Natural Science Foundation of Shandong Province (Grant No. ZR2009FZ005). Referance.

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[7] Zhang Huifa, Xu Chonghai, and Zhang Jingjie, et al, Optimization design on the mechanical properties of ceramic tool and die material with immune algorithm, The sixth international conference on physical and numerical simulation of materials processing, Guilin, 2010, in press.