Study on Mechanical Properties and Size Effect of Si₃N₄ Using Discrete Element Method

Abstract:

The mechanical models formed by packed circular discrete elements were used to investigate the mechanical properties of Si3N4. In these models, the distribution of elements is random in the specified region, and the average radius of elements is 6m. The main mechanical properties investigated here are Young’s modulus, compressive strength, Poisson’s ratio, fracture toughness and bending strength. Some numerical simulation analysis of the size effect of the mechanical properties in these discrete element models were carried out. The simulation results suggest that there is no obvious size effect for Young’s modulus, compressive strength and Poisson’s ratio in these discrete element models. However, for bending strength, when the number of elements in model is less than about 9000, there exists obvious size effect, with the increasing of the number of the elements, the size effect will become less and less until disappeared. The value of fracture toughness decreases with the increasing of the number of the model elements. The classical continuum fracture mechanics model about material fracture under tensile stress is also established by discrete element method. The simulation results are just the same as the simulation results of single edge notched bending (SENB) and the experimental values reported in other literatures. The results provide a more reliable foundation for the application of DEM in simulating the mechanical behaviors of advance ceramics.

• Periodical: Advanced Materials Research (Volumes 76-78)
• Pages: 719-724
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.76-78.719
• Online since: June 2009
• Authors: Yuan Qiang Tan, Sheng Qiang Jiang, Cai Li, Dong Min Yang, Gao Feng Zhang, Y. Sheng
• Keywords: Si₃N₄, Discrete Element Method (DEM), Mechanical Property, Simulation, Size Effect

References

[1] F.L. Riley: Am. Ceram. Soc. Vol. 83 (2) (2000), p.245.

[2] G. Ziegler, J. Heinrich, G. Wotting: Mater. Sci. Vol. 22 (9) (1987), p.3041.

[3] A.J. Pyzik, D.R. Beaman: Am. Ceram. Soc. Vol. 76 (11) (1993), p.2737.

[4] Zdenek Bazant, Er-pingChen: Appl. Mech. Rev. Vol. 50(10) (1997), p.593.

[5] Bao Yiwang, Jin Zongzhe, Li Xiaorui: J. Wuhan University Technol. Vol. 3 (1989), p.25.

[6] Wu Zhimin, Yang Shutong, Zheng Jianjun: J. Hydraulic Eng. Vol. 37(7) (2006) p.795.

[7] Cundall P.A., Strack O.D.L.: Geotechnique. Vol. 29(1) (1979), p.47.

[8] Hunt S. P, Meyers A. G, Louchnikov V: Comput. Geotechnics. Vol. 30 (2006), p.611.

[9] Y. Sheng, C.J. Lawrence, B. Briscoe, C. Thornton: Comput. Eng. Vol. 21(2-3) (2004), p.304.

[10] Frédéric S. H., Donzé V., and Daudeville L.: Comput. Struct. Vol. 82 (2004), p.2509.

[11] Yuanqiang Tan, Dongmin Yang, Y. Sheng: Int. J. Mach. Tool Manu. Vol. 48 (2008), p.975.

[12] D.O. Potyondy, P.A. Cundall: Int. J. Rock Mech. Min. Sci. Vol. 41 (2004), p.1329.

[13] Gong Jianghong. Fracture Mechanics of Ceramics (in Chinese) (Tsinghua University Publications, Beijing 2001).

[14] Xiaotong Wang, N.P. Padture: J. Mater. Sci. Vol. 39 (2004), p.1891.

[15] DF Boutt, BJOL McPherson: Geophys. Res. Lett. Vol. 29 (2002), p.1054.

[16] Budong Yang, Yue Jiao, Shuting Lei: Eng. Comput. Vol. 6(23) (2006), p.607.

[17] Itasca Consulting Group Inc. PFC2D. Version 3. 10, Minneapolis, Minnesota, (2002).

[18] Itasca Consulting Group Inc. PFC2D. User's Manuals, (2002).

[19] Shi Changxu, Li Hengde, Zhou Lian. Hand book of Materials science and engineering (in Chinese). (Chemical Industry Publications , BeiJing 2004).

[20] Information on http: /www. ceramics. nist. gov/srd/summary/ftgsin. htm.

[21] Ming Jiang, Nelson O. Wood. R. Komanduri: Wear. Vol. 220 (1998), p.59.

[22] Tomofumi Koyama, Lanru Jing: Eng. Anal. Bound. Elem. Vol. 31 (2007), p.458.

[23] Zhao Jiansheng. Fracture mechanics and fracture physics (in Chinese). ( Huazhong University of Science and Technology Publications, Wuhan 2003).

[24] H. Huang, Discrete Element Modeling of tool-Rock Interaction[D], Ph.D. thesis, University of Minnesota, (1999).

[25] T. Moon, M. Nakagawa, J. Berger: Int. J. Rock Mech. Min. Sci. Vol. 44 (2007), p.449.