Numerical simulation of energy release rate for interface crack initiation due to thermal stress in environmental barrier coatings for Silicon Carbide (SIC) fiber reinforced in SIC matrix composite
November 5-9, 2017
In order to apply silicon carbide (SiC) fiber reinforced SiC matrix (SiC/SiC) composites as high-pressure turbine materials, environmental barrier coatings (EBC) is essential. EBC consists of several materials and thermal stress occurs by the difference in thermal property of EBC layers and SiC/SiC substrate during the fabrication process and usage environment. If energy release rate (ERR) exceeds interface fracture toughness, the interface crack can be initiated (Griffith theory). For structure design to maintain the property of EBC, it is necessary to theoretically predict ERR for interface crack while fracture toughness is obtained in experiments. This study is to perform numerical simulation of ERR for interface crack initiation due to thermal stress in EBC.
2. Theoretical equation for predicting ERR for interface crack in multi-layered structure
In 1990’s, Suo and Hutchinson revealed that ERR for interface crack initiation in single-layered structure (isotropic elastic material, biaxial stress state) is written by strain energy of the layer multiplied by a dimensionless constant factor. To predict ERR for interface crack initiation in a multi-layered structure, we regard the coating layers above the objective interface as one layer and the other layers below the interface as a substrate. Then, ERR (G) is expressed by Here, Z′ is a dimensionless factor, σi, Ei, νi and hi are thermal stress, Young’s modulus, Poisson’s ratio and thickness of the coating layer above the objective interface, respectively. Note that Z′ is dependent not only on elastic properties of the components but also on thicknesses of the coating layers and substrate because ERR should be governed by the ‘effective’ mismatch between the layers above and below the objective interface. In order to examine the dependence of Z′ EBC layer thicknesses, we calculate ERR (GF), which is released strain energy per crack propagation area, by using thermal stress finite element method (FEM) analysis to be compared with ΠT.
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Emi Kawai and Yoshitaka UMENO, "Numerical simulation of energy release rate for interface crack initiation due to thermal stress in environmental barrier coatings for Silicon Carbide (SIC) fiber reinforced in SIC matrix composite" in "Advanced Ceramic Matrix Composites: Science and Technology of Materials, Design, Applications, Performance and Integration", Yutaka Kagawa, Tokyo University of Technology, Japan Dongming Zhu, NASA Glenn Research Center, USA Ram Darolia, GE Aviation (retired), USA Rishi Raj, University of Colorado, Boulder, USA Eds, ECI Symposium Series, (2017). https://dc.engconfintl.org/acmc/9