A 2D image-based multiphysics model for lifetime evaluation and failure scenario analysis of self-healing ceramic-matrix mini-composites under a tensile load |
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| Affiliation: | 1. Team Cardamom - INRIA, Univ. Bordeaux, CNRS, Bordeaux INP, IMB, UMR 5251, 200 Avenue de la Vieille Tour, Talence Cedex 33405, France;2. CNRS, Laboratoire des Composites ThermoStructuraux (LCTS), UMR 5801 CNRS, Univ. Bordeaux, CEA, Safran, 3, Allée de La Boétie, Pessac 33600, France;3. Laboratoire des Composites ThermoStructuraux (LCTS), UMR 5801 CNRS, Univ. Bordeaux, CEA, Safran, 3, Allée de La Boétie, Pessac 33600, France;1. School of Materials Science and Engineering, Harbin Institute of Technology (Weihai), Weihai 264209, PR China;2. School of Science, Lanzhou University of Technology, Lanzhou 730050, PR China;3. School of Materials Science and Engineering, Harbin Institute of Technology, Harbin 150001, PR China;4. School of Materials Science and Engineering, Shandong University of Technology, Zibo 255049, Shandong, PR China;1. Department of Physics, Faculty of Sciences and Letters, Çukurova University, 01330 Adana, Turkey;2. INMA (CSIC-Universidad de Zaragoza), Maria de Luna, 50018 Zaragoza, Spain;1. Institute of Experimental Physics, Slovak Academy of Sciences, Watsonova 47, 04001 Kosice, Slovakia;2. CAN Superconductors, Ringhofferova 66, 251 68 Kamenice, Czech Republic;3. Faculty of Chemical Technology, University of Chemistry and Technology, Technicka 5, 166 28 Prague 6, Czech Republic;1. Shanghai Key Laboratory of High Temperature Superconductors, Shanghai Frontiers Science Center of Quantum and Superconducting Matter States, Department of Physics, Shanghai University, Shanghai 200444, China;2. Shanghai Creative Superconductor Technologies Co. Ltd., Shanghai 201401, China;1. State Key Laboratory for Powder Metallurgy, Central South University, Changsha 410083, China;2. Shenzhen Research Institute, Central South University, Shenzhen 518057, China;1. Department of Ceramic Engineering, Indian Institute of Technology (Banaras Hindu University), Varanasi 221005, India;2. Department of Mechanical Engineering, Indian Institute of Technology (Banaras Hindu University), Varanasi 221005, India;3. School of Mechanical Engineering, Kalinga Institute of Industrial Technology, Bhubaneswar-751024, India |
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| Abstract: | We propose a multi-physics numerical model for a self-healing ceramic matrix mini-composite under tensile load. Crack averaged PDEs are proposed for the transport of oxygen and of all the chemical species involved in the healing process and studied in the dimensionless form to perform the most appropriate discretization choices concerning time integration, and boundary conditions. Concerning the fibres’ degradation, a slow crack growth model explicitly dependent on the environmental parameters is calibrated using a particular exact solution and integrated numerically in the general case. The tow failure results from the statistical distribution of the fibres’ initial strength, the slow crack growth kinetics, and the load transfer following fibres breakage. The lifetime prediction capabilities of the model, as well as the effect of temperature, spatial variation of the statistical distribution of fibres strength, and applied load, are investigated highlighting the influence of the diffusion/reaction processes (healing) on the fibre breakage scenarios. |
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| Keywords: | Ceramic-matrix composites Self-healing Slow crack growth Image-based modelling |
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