Peridynamical Modelling of Nanoindentation in Ceramic Composites

Abstract:

Indentation in brittle solids involves many complex phenomena related to cleavage and contact, as well as intrinsic stress singularities, which are almost impossible to capture with traditional continuum approach and FEA at mesoscale. In case of a two-phase ceramic composite [1–3] the number of unknown material and interfacial constants, that have to be calibrated experimentally, increases rapidly [4, 5]. In this paper, nanoindentation in zirconia-toughened alumina (ZTA) is modelled using discrete (peridynamical) approach

• Periodical: Solid State Phenomena (Volume 254)
• Pages: 55-59
• DOI: https://doi.org/10.4028/www.scientific.net/SSP.254.55
• Online since: August 2016
• Authors: Tomasz Sadowski*, Błażej Pankowski
• Keywords: Alumina, Ceramics, CMC, Discrete Methods, Fracture, Indentation, Meshless Methods, Peridynamics, ZTA

References

[1] T. Sadowski, P. Golewski, The influence of quantity and distribution of cooling channels of turbine elements on level of stresses in the protective layer TBC and the efficiency of cooling, Comput. Materials Sci. 52 (2012) 293–297.

DOI: 10.1016/j.commatsci.2011.02.027

[2] T. Sadowski, K. Nakonieczny, Thermal shock response of FGM cylindrical plates with various grading patterns, Compt. Materials Sci. 43 (2008) 171–178.

DOI: 10.1016/j.commatsci.2007.07.051

[3] T. Sadowski and P. Golewski, Multidisciplinary analysis of the operational temperature increase of turbine blades in combustion engines by application of the ceramic thermal barrier coatings (TBC), Comput. Materials Sci. 50 (2011) 1326–1335.

DOI: 10.1016/j.commatsci.2010.05.032

[4] E. Postek, T. Sadowski, Assessing the Influence of Porosity in the Deformation of Metal-Ceramic Composites, Composite Interfaces 18 (2011) 57-76.

DOI: 10.1163/092764410x554049

[5] T. Sadowski, B. Pankowski, Numerical modelling of two-phase ceramic composite response under uniaxial loading, Composite Structures 143 (2016) 388-394.

DOI: 10.1016/j.compstruct.2016.02.022

[6] L.A. Gömze, L.N. Gömze, Alumina-based hetero-modulus ceramic composites with extreme dynamic strength – phase transformation of Si3N4 during high speed collision with metallic bodies, Ĕpitöanyag – Journal of Silicate Based and Composite Materials 61 (2009).

DOI: 10.14382/epitoanyag-jsbcm.2009.7

[7] T. Sadowski, P. Golewski, Detection and numerical analysis of the most efforted places in turbine blades under real working conditions, Comp. Mater. Sci. 64 (2012) 285-288.

DOI: 10.1016/j.commatsci.2012.02.048

[8] G. Golewski, P. Golewski, T. Sadowski, Numerical modeling crack propagation under Mode II fracture in plain concretes containing siliceous fly-ash additive using XFEM method, Comput. Mat. Sci. 62 (2012) 75-78.

DOI: 10.1016/j.commatsci.2012.05.009

[9] T. Sadowski, M. Birsan, D. Pietras, Numerical analysis of multilayered and FGM structural elements under mechanical and thermal loads. Comparison of the finite elements and analytical models, Arch. of Civil and Mechanical Eng. 15 (2015) 1180-1192.

DOI: 10.1016/j.acme.2014.09.004

[10] J. Bieniaś, H. Dębski H., B. Surowska B., T. Sadowski, Analysis of microstructure damage in carbon/epoxy composites using FEM, Comput. Mat. Sci. 64 (2012) 168-172.

DOI: 10.1016/j.commatsci.2012.03.033

[11] V. Petrova, T. Sadowski, Theoretical modeling and analysis of thermal fracture of semi-infinite functionally graded materials with edge cracks, Meccanica 49 (2014) 2603–2615.

DOI: 10.1007/s11012-014-9941-x

[12] V.N. Burlayenko, H. Altenbach, T. Sadowski, S.D. Dimitrova, Computational simulations of thermal shock cracking by the virtual crack closure technique in a functionally graded plate, Computational Materials Science 116 (2016) 11-21.

DOI: 10.1016/j.commatsci.2015.08.038

[13] H. Dębski, T. Sadowski, Modelling of microcracks initation and evolution along interfaces of the WC/Co composite by the finite element method, Computational Materials Science 83 (2014), 403-411.

DOI: 10.1016/j.commatsci.2013.11.045

[14] T. Sadowski, Gradual degradation in two-phase ceramic composites under compression, Comput. Materials Sci. 64 (2012) 209–211.

DOI: 10.1016/j.commatsci.2012.01.034

[15] V. Birman and L. W. Byrd, Rewiew of Fracture and Fatigue in Ceramic Matrix Composites, Appl. Mech. Rev. 53 (2000) 147–174.

DOI: 10.1115/1.3097345

[16] A. Krell and S. Schädlich, Nanoindentation hardness of submicrometer alumina ceramics, Materials Sci. Eng. A, 307 (2001) 172–181.

DOI: 10.1016/s0921-5093(00)01818-9

[17] T. Sadowski and L. Marsavina, Multiscale modelling of two-phase Ceramic Matrix Composites: Comput. Materials Sci. 50 (2011) 1336–1346.

DOI: 10.1016/j.commatsci.2010.04.011

[18] M. S. Breitenfeld, P. H. Geubelle, O. Weckner, and S. A. Silling, Non-ordinary state-based peridynamic analysis of stationary crack problems, Computer Methods in Applied Mechanics and Engineering 272 (2014) 233–250.

DOI: 10.1016/j.cma.2014.01.002

[19] S. A. Silling, Reformulation of elasticity theory for discontinuities and long-range forces, J. Mech. Phys. Solids 48 (2000) 175–209.

DOI: 10.1016/s0022-5096(99)00029-0

[20] S. A. Silling, O. Weckner, E. Askari, and F. Bobaru, Crack nucleation in a peridynamic solid, Int. J. Fracture 162 (2010) 219–227.

DOI: 10.1007/s10704-010-9447-z

[21] R. Quey, P. R. Dawson, and F. Barbe, Large-scale 3D random polycrystals for the finite element method: Generation, meshing and remeshing, Computer Methods in Applied Mechanics and Engineering 200 (2011) 1729–1745.

DOI: 10.1016/j.cma.2011.01.002

[22] J. F. Shackelford and W. Alexander, CRC materials science and engineering handbook, 3rd ed. Boca Raton, FL: CRC Press, (2001).

[23] K. Niihara, A fracture mechanics analysis of indentation-induced Palmqvist crack in ceramics, J. Mater. Sci. Lett. 2 (1983) 221–223.

DOI: 10.1007/bf00725625

[24] S. L. Jones, C. J. Norman, and R. Shahani, Crack-profile shapes formed under a Vickers indent pyramid, J. Mater. Sci. Lett. 6 (1987) 721–723.

DOI: 10.1007/bf01770938