Abstract
The article describes the development of a numerical material model of ceramic matrix composite (CMC) reinforced by bundles of thousands of short carbon fibres and produced by means of a liquid silicon infiltration process. The objective of the article is the development of a numerical mesoscale model that considers the material as a simple bi-phasic composite constituted by an isotropic matrix with differently sized inclusions. The distinctive material microstructure that complicates the development of such a model is presented and the issues represented by the generation of the finite element models and by the identification of the effective properties of the constituent phases are discussed. In the presented approach, models are generated by numerically simulating the packing of bundles and phases are identified by means of tests and numerical analyses, which are performed on long fibre-reinforced specimens and on specimens subjected to a thermal process for the elimination of carbon reinforcement. The approach is applied to find out the parameters of a homogenized orthotropic model for CMC plates. The obtained results show that the numerical packing simulations can generate models with a realistic distribution of size, shape and orientation of the bundles. The mesoscale model and the phase properties identified by the proposed numerical and experimental procedure are validated by considering the stiffness of standard CMC specimens obtained in three-point bending tests. According to the results, the developed methodologies can be considered as a promising approach for a reliable prediction of short fibre-reinforced CMC elastic properties.
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References
Christin F, Naslain R, Hagenmuller P, Choury JJ (1977) French patent, 77/26979, Sept 1977
Naslain R, Rossignol JY, Hagenmuller P, Christin F, Héraud L, Choury JJ (1981) Rev Chim Miner 18:544
Fitzer E, Hegen D, Strohmeier H (1980) Rev Int Hautes Temp Refract 17:23
Krenkel W, Naslain R, Schneider H (2001) High temperature ceramic matrix composites. Wiley-VCH, Weinheim
Bansall NP (2005) Handbook of ceramic composites. Springer, Berlin
Christin F (2002) Adv Eng Mater 4:903
Van Roode M, Ferber MK, Richerson DW (2002) Ceramic gas turbine design and test experience: progress in ceramic gas turbine development, vols 1 and 2. ASME Press, New York
Riccardi B, Giancarli L, Hasegawa A, Katoh Y, Kohyama A, Jones RH, Snead LL (2004) J Nucl Mater 329–333(Part A):56
Raffray AR, Jones R, Aiello G, Billone M, Giancarli L, Golfier H, Hasegawa A, Katoh Y, Kohyama A, Nishio S, Riccardi B, Tillack MS (2001) Fusion Eng Des 55:55
Naslain R (2005) Int J Appl Ceram Technol 2:75
Krenkel W, Berndt F (2005) Mater Sci Eng A412:177
Naslain R (2004) Compos Sci Technol 64:155
Jones R, Szweda A, Petrak D (1999) Composites Part A 30:569
Krenkel W, Henke T (1999) Key Eng Mater 164–165:421
Krenkel W (2001) In: 25th Annual international conference on advanced ceramics & composites, Cocoa Beach (Florida, USA), January 2001
Krenkel W, Renz R, Heidenreich B (2001) Ceramic materials and components for engines. Wiley-VCH, Weinheim
Krenkel W (2004) Int J Appl Ceram Technol 1:188
Bohm HJ, Eckshlager A, Han W (2002) Comput Mater Sci 25:42
Segurado J, Llorca J (2002) J Mech Phys Solids 50:2107
Berger H, Kari S, Gabbert U, Ramos RR, Castillero JB, Díaz RG (2007) J Mech Mater Struct 2:1561
Airoldi A, Di Landro L, Sirna M, Quintini S, Sala G (2009) In: Proceeding of XX AIDAA congress, Milano, Italy, June 29–July 3 2009
Chawla N, Chawla KK (2006) J Mater Sci 41:913. doi:10.1007/s10853-006-6572-1
Rice RW (1999) J Mater Sci 34:2769. doi:10.1023/A:1004606612294
Jones RM (1999) Mechanics of composite materials, 2nd edn. Taylor & Francis, London, p 144
Agarwal BD, Broutman LJ (1990) Analysis and performance of fiber composites, 2nd edn. Wiley, New York, p 22
Richerson DW (1982) Modern ceramic engineering. Marcel Dekker, New York, p 72
Campbell FC Jr (2006) Manufacturing technology for aerospace structural materials. Elsevier, Amsterdam, p 468
Hinrichsen L, Feder J, Ossang T (1986) J Stat Phys. doi:10.1007/BF01011908
Abaqus® (2004) Theory and user’s manuals. Hibbit, Karlsson & Sorensen. Pawtucket, USA
Toll S (1998) Pol Eng Sci 38:1337
Advani SG, Tucker CL (1987) J Rheol 31(8):751
Gitman IM, Gitman MB, Askes H (2006) Arch Appl Mech 75:79
Gitman IM, Askes H, Sluys LJ (2007) Eng Fract Mech 74:2518
Monetto I, Drugan WJ (2009) J Mech Phys Solids 57:1578
Acknowledgements
The presented activity has been carried out within a collaboration between BSCCB (Brembo SGL Carbon Ceramic Brakes) and DIA (Dipartimento di Ingegneria Aerospaziale del Politecnico di Milano). The financial support and experimental collaboration of BSCCB is gratefully acknowledged.
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Airoldi, A., Di Landro, L., Sirna, M. et al. Development of a numerical mesoscale material model for short fibre-reinforced ceramics matrix composites. J Mater Sci 48, 1646–1659 (2013). https://doi.org/10.1007/s10853-012-6922-0
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DOI: https://doi.org/10.1007/s10853-012-6922-0