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Modelling of Damage and Fracture Processes of Ceramic Matrix Composites

  • Tomasz Sadowski
Part of the CISM International Centre for Mechanical Sciences book series (CISM, volume 474)

Abstract

The present contribution focuses on the problem of mechanical response of the composite ceramic material containing internal structure. This initial internal structure of the material consists of: grains, intergranular layers, initial defects (like porosity or micro-cracks) and initial reinforcement. During deformation process the initial structure of the material changes (evolves) due to development of dislocation bands, local stress concentration and further nucleation of microdefects, their growth into mesocracks and finally to macrocracks leading to the failure of the material. This contribution describes all phases of deformation process of polycrystalline of composite ceramic material including phenomena governing changes of internal structure of the material like: nucleation, growth of defects. In particular to the description of the material response including internal damage process, the micromechanical approach will be used by application of averaging procedures. In order to show local stress concentrations the Finite Element Analysis (FEA) will be applied.

Keywords

Residual Stress Stress Intensity Factor Thermal Shock Functionally Grade Material Ceramic Matrix Composite 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Altenbach, H., Becker, W. eds (2003) Modern Trends in Composite Laminates Mechanics, CISM Courses and and Lectures no. 448, Wien-New York: Springer Verlag.MATHGoogle Scholar
  2. Bahr, H.A., Balke, H., Fett, T., Hofinger, L, Kirchhoff, G., Munz, D., Neubrand, A., Semenov, A.S., Weiss, H.J., (2004) Cracks in graded materials, Mat. Science and Engineering A (accepted for publication)Google Scholar
  3. Becker, H., Tschudi, T., Neubrand, A., Spatially (2001) Resolved Thermal Diffusivity Measurements for Functionally Graded Materials. In: Functionally Graded Materials 2000, Ceramic Transactions 114, American Ceramic Society, Westerville, Ohio, 1571–578.Google Scholar
  4. Boccaccini, A.R., (1998) Influence of Stress Concentrations on the Mechanical Property-Porosity Correlation in Porous Materials. J. Mat. Sci. Let. 17:1273–75.CrossRefGoogle Scholar
  5. Bogy, D.B. (1970) On the problem of edge-bonded elastic quarter planes loaded at the boundary, Int. Journal of Solids and Structures 6,1287–1313.MATHCrossRefGoogle Scholar
  6. Davidge, R.W., (1979) Mechanical behaviour of ceramics, Cambridge Univ. Press.Google Scholar
  7. Dröschel, M., Oberacker, R., Hoffman, M.J., Schaller, W., Yang, Y.Y., Munz, D. (1999) Silicon Carbide Evaporator Tubes with Porosity Gradient Designed by Finite Element Calculations In Functionally Graded Materials, Proceedings of the 5th International Symposium on FGM, W.R. Kaysser ed., Trans Tech Publications, Schweiz, 820–825.Google Scholar
  8. Erdogan, F., Wu, B.H., (1996) Crack problems in FGM layers under thermal stresses. J. Thermal Stress:237–265.Google Scholar
  9. Espinosa, H.D., Zavattieri, P.B. (2003) A grain level model for the study of failure initiation and evolution in polycrystalline brittle materials, Part I: Theory and numerical implementation. Mech. Materials 35:333–364.CrossRefGoogle Scholar
  10. Espinosa, H.D., Zavattieri, P.D. (2003) A grain level model for study of failure initiation and evolution in polycrystalline brittle materials. Part II: Numerical examples, Mech. Materials 35:365–394.CrossRefGoogle Scholar
  11. Fett, T. (2001) Mixed-mode stress intensity factors for partially opened cracks. Int. J. Fracture 111:L67–L72CrossRefGoogle Scholar
  12. Fett, T., Munz, D. (1997) Stress intensity factors and weight Junctions, Computational Mechanics Publications, Southampton, UK.Google Scholar
  13. Fett, T., and Munz, D. (1999) Mechanical Properties, Failure Behaviour, Materials Selection, Ceramics, Springer, Berlin, Heidelberg, New York.Google Scholar
  14. Flinn, B.D., Bordia, R.K., Zimmermann, A., and Roedel, J. (2000) Evolution of Defect Size and Strenght of Porous Alumina during Sintering, J. Am. Ceram. Soc. 20:2561–68.CrossRefGoogle Scholar
  15. Hu, M.S., Thouless, M.D., Evans, A.G. (1988) The decohesion of thin films from brittle substrates. Acta Metall. 36:1301–1307.CrossRefGoogle Scholar
  16. Hutchinson, J.W., Suo, Z., (1991) Mixed mode cracking in Layered Materials. Adv. Appl. Mech. 29:63–191.Google Scholar
  17. Ishizaki, K., Komarneni, S., and Nanko, M. (1998) Porous Materials: Process Technology And Applications, Materials Technology Series, Kluwer Academic Publishers.Google Scholar
  18. Itoh, Y., Kashiwaya, H. (1992) Residual stress characteristics of FGMs. J. Ceram. Soc. Jap. 100: 476–481.Google Scholar
  19. Jayaseelan, D.D., Kondo, N., Brito, M.E., and Ohji, T. (2002) High-Strength Porous Alumina Ceramics by Pulse Electric Current Sintering Technique J. Am. Ceram. Soc. 85: 267–69.CrossRefGoogle Scholar
  20. Jeulin, D., and Ostoja-Starzewski, M., eds. (2001) Mechanics of Random and Multiscale Microstructures, CISM Courses and and Lectures no. 430, Wien-New York: Springer Verlag.MATHGoogle Scholar
  21. Jin, Z.H., Batra, R. (1996) Stress intensity relaxation at the tip of an edge crack in a functionally graded material subjected to a thermal shock. J. Thermal Stress 19:317–339.Google Scholar
  22. Kachanov, M. (1993) Elastic Solids with Many Cracks and Related Problems, Advances in Appl. Mech. 30:259–445.Google Scholar
  23. Kachanov, M. (1993) On The Effective Moduli of Solids With Cavities and Cracks. Int. J. Fracture. 59: R17–R21.Google Scholar
  24. Kachanov, M., Sevostianov, I., Shafiro, B., (2001) Explicit cross-property correlations for porous materials with anisotropic microstructures, J. Mech. Phys. Solids 49:1–25MATHCrossRefMathSciNetGoogle Scholar
  25. Krajcinovic, D. (1989) Damage Mechanics, Mech. Materials 8:117–197.CrossRefGoogle Scholar
  26. Lam, D.C.C., Lange, F.F., and Evans, A.G. (1994) Mechanical Properties of Partially Dense Alumina Produced from Powder Compacts. J. Am. Ceram. Soc., 77:2113–17.CrossRefGoogle Scholar
  27. Nanjangud, S.C., Brezny, R., and Green, D.J., (1995) Strenght and Young’s Modulus Behaviour of a Partially Sintered Porous Alumina. J. Am. Ceram. Soc, 78: 266–68.CrossRefGoogle Scholar
  28. Nemat-Nasser, S., and Horii, M., (1993) Micromechanics: Overall Properties of Heterogeneous Materials, Elsevier Sci. Publ.Google Scholar
  29. Nemat-Nasser, S., and Obata, M. (1988) A Microcrack Model of Dilatancy in Brittle Materials. J. Appl. Mech. 55: 24–35.CrossRefGoogle Scholar
  30. Neubrand, A., Chung, T.J., Rödel, J., Steffler, E.D., Fett, T. (2002) Residual Stresses in Functionally Graded Plates. J. Mater. Res. 17: 2912–2920.Google Scholar
  31. Neubrand, A., Chung, T.-J., Lucato, S., Fett, T., Rödel, J. (2004) R-curve behaviour of functionally graded composites. J. Am. Cer. Soc. (in review).Google Scholar
  32. Noda, N. (1999) Thermal stresses in functionally graded materials. J. Thermal Stress 22:477–512.CrossRefMathSciNetGoogle Scholar
  33. Ostrowski, T., and Rődel, J. (1999) Evolution of Mechanical Properties of Porous Alumina during Free Sintering and Hot Pressing. J. Am. Ceram. Soc. 82:3080–86.CrossRefGoogle Scholar
  34. Owen, D.R.J., Hinton E. (1980) Finite Elements in Plasticity, Theory and Practice, Pineridge Press Ltd. Swansea, UK.MATHGoogle Scholar
  35. Pampuch, R., (1988) Ceramic Materials. An Outline of Inorganic-Nonmetallic Materials Science, Polish State Scientific Press, Warsaw, (in Polish).Google Scholar
  36. Perzyna, P. (1971) Thermodynamic Theory of Viscoplaticity, in Advances in Applied Mechanics, Academic Press, New York, 11.Google Scholar
  37. Ponte Castañeda, P., and Suquet, P., (1998) Nonlinear composites. Adv. Appl. Mech. 34:171–302.CrossRefGoogle Scholar
  38. Pordoen, T., Dumont, D., Deschamps, A., Brechet. Y. (2003) Grain boundary versus transgranular ductile failure. J. Mech. Phys. Solids 51: 637–665.CrossRefGoogle Scholar
  39. Raiser, G.F., Wise, J.L., Clifton, R.J., Grady, D.E., Cox D.E. (1994) Plate impact response of ceramics and glasses, J. Appl. Phys 75:3862-.CrossRefGoogle Scholar
  40. Ravichandran, K.S. (1995) Thermal residual stresses in a FGM system. Mat. Sci. and Eng A201: 269–276.CrossRefGoogle Scholar
  41. Rice, R.W. (1998) Porosity of Ceramics. Marcel Dekker, New YorkGoogle Scholar
  42. Sadowski, T. (1994) Modelling of semi-brittle MgO Ceramics Behaviour under Compression Mech. Materials, 18:1–16.CrossRefGoogle Scholar
  43. Sadowski, T., Boniecki, M., Librant, Z., and Ruiz, C. (1997) Fracture process of monolithic polycrystalline ceramics (Al2O3 and MgO) under quasi-static and dynamic loading. Proceedings of Brittle Matrix Composites, 5. Edited by A. Brandt, V.C. Li and I.H. Marshall, BIGRAF and Woodhead Publ., Warsaw, 567–576Google Scholar
  44. Sadowski, T. (1999) Description of Damage Development and Limit States of Ceramic Materials, Technical Univ. of Lublin Press, (in Polish).Google Scholar
  45. Sadowski, T., Samborski, S. (2003) Modelling of porous ceramics response to compressive loading, J. Am. Cer. Soc. 86:2218–2221.Google Scholar
  46. Sadowski, T., Samborski, S. (2003) Prediction of mechanical behaviour of porous ceramics using mesomechanical modeling. Computational Materials Science 28:512–517.CrossRefGoogle Scholar
  47. Sadowski, T., Neubrand, A. (2003) Thermal shock crack propagation in functionally graded strip. Proceedings of Brittle Matrix Composites, 7. Edited by A. Brandt, V.C. Li and I.H. Marshall, BIGRAF and Woodhead Publ., Warsaw, 81–90.Google Scholar
  48. Sadowski, T., Hardy S., Postek, E. (2004) Prediction of the mechanical response of polycrystalline ceramics containing metallic inter-granular layers under uniaxial tension, Computational Materials Science (subjected)Google Scholar
  49. Sundaram, S., Clifton, R.J. (1998) The influence of a glassy phase on the high strain rate response of ceramics. Mech. Materials 29:233–251.CrossRefGoogle Scholar
  50. Suquet, P., ed. (1997) Continuum Micromechanics, CISM Courses and and Lectures no., Wien-New York: Springer Verlag.MATHGoogle Scholar
  51. Tvergard, V. (1997) Studies of void growth in a thin ductile layer between ceramics. Comput. Mech. 20:186–191.CrossRefGoogle Scholar
  52. Vasudevan, A., Doherty, R. (1987) Grain boundary ductile fracture in precipitation hardened aluminium alloys. Acta Metall. 35:1193–1219.CrossRefGoogle Scholar
  53. Yang, Y.Y., Munz, D. (1995) Reduction of the stresses in a joint of dissimilar materials using graded materials as interlayer, Fracture Mechanics 26, ASTM STP 1256, WG. Reuter, J.H. Underwood, J.C. Newman, Jr. (Hrsg.), American Society for Testing and Materials, Philadelphia, 1–15Google Scholar

Copyright information

© CISM, Udine 2005

Authors and Affiliations

  • Tomasz Sadowski
    • 1
  1. 1.Department of Solid MechanicsLublin University of TechnologyLublinPoland

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