Skip to main content

Micromechanical Approach to Modelling of Damage Process in Semi-Brittle Ceramics

  • Conference paper
  • 350 Accesses

Part of the book series: Solid Mechanics and its Applications ((SMIA,volume 46))

Abstract

Semi-brittle polycrystalline ceramic materials (e.g. MgO) have a nonlinear and complex overall response to applied loads due to development of limited plasticity and internal microdefects, e.g. [1]. All microdefects act as stress concentrators and locally change the state of stress, leading to the development of mesocracks and finally macrocracks. Experimental results show that defects develop mainly intergranularly and cause inhomogeneity and induced anisotropy of the solid. Modelling of such material response is possible by application of effective continuum models (e.g. [2–7]) or phenomenological ones introducing of internal state variable (e.g. [8–11])

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Kingery, W.D., Bowen, K.H. and Uhlmann, D.R.: Introduction to ceramics, Wiley and Sons, New York, 1976.

    Google Scholar 

  2. Mura, T.: Micromechanics of defects in solids, Martinus Nijhoff, ed. The Hague — Boston, 1982.

    Google Scholar 

  3. Nemat-Nasser, S., Horii, M: Micromechanics overall properties of heterogeneous materials, North-Holland Series in Applied Mathematics and Mechanics, 1993.

    MATH  Google Scholar 

  4. Krajcinovic, D.: Damage Mechanics, Mech. Materials, 8 (1989), 117–197.

    Article  Google Scholar 

  5. Kachanov, M.: Elastic Solids with Many Cracks and Related Problems, Advances in Appl. Mech., 30 (1993), 259–445.

    Article  Google Scholar 

  6. Nemat-Nasser, S. and M.Obata: A Microcrack Model of Dilatancy in Brittle Materials, J. Appl. Mech., 55 (1988), 24–35.

    Article  ADS  Google Scholar 

  7. Murzewski, J.: Brittle and Ductile Damage of Stochastically Homogeneous Solids, Int. J. Damage Mech., 1 (1992), 276–289.

    Article  Google Scholar 

  8. Coleman, B.D. and Gurtin, M.E.: Thermodynamics with Internal State Variables, J. Chemical Physics, 47 (1967), 597–613.

    Article  ADS  Google Scholar 

  9. Perzyna, P.: Thermodynamics of Inelastic Materials, (in Polish), PWN, Warszawa, 1978.

    Google Scholar 

  10. Grabacki, J.: On some description of damage process, European J. Mech., A/Solids, 10 (1991), 309–325.

    MATH  Google Scholar 

  11. Litewka, A.: Effective material constants for orthotropically damaged elastic solids, Arch. Mech. 37 (1985), 631–642.

    Google Scholar 

  12. Sadowski, T.: Dynamic damage modelling in semi-brittle ceramics under compressive impulse loading, IUTAM Symposium on “Nonlinear analysis of Fracture”, Cambridge (1995)

    Google Scholar 

  13. Perzyna, P.: Constitutive modelling for brittle dynamic fracture in dissipative solids, Arch. Mech. 38 (1986), 725–738.

    MathSciNet  MATH  Google Scholar 

  14. Perzyna, P.: Internal state variable description of dynamic fracture of ductile solids, Int. J. Solids Struct. 22 (1986), 797–818.

    Article  Google Scholar 

  15. Deng, H. and Nemat-Nasser, S.: Dynamic damage evolution in brittle solids, Mech. Materials, 14 (1992), 3–37.

    Article  Google Scholar 

  16. Sawczuk, A. and Sadowski, T.: On anisotropic continuous damage of plates in flexure, Eng. Structure 5 (1983), 234–238.

    Article  Google Scholar 

  17. Najar, J. and Sadowski, T.: Effective strain related damage concept applied to brittle materials and composites, in A.M.Brandt, V.C.Li and I.H.Marshall (eds.), Brittle Matrix Composites 4, Woodhead Publishing Limited, Cambridge and Warsaw, (1994), 624–633.

    Google Scholar 

  18. Sadowski, T.: Mechanical Response of Semi-Brittle Ceramics Subjected to Tension —Compression State. Part I: Theoretical Modelling, Int. J. Damage Mechanics, 3(1994), 212–233.

    Article  Google Scholar 

  19. Budiansky, B and O’Conneli, R.: Elastic Moduli of a Cracked Solid, Int. J. Solid Struct. 13, (1976), 81–97.

    Article  Google Scholar 

  20. Najar, J.: Brittle residual strain and continuum damage at variable uniaxial loading. Int. J. Damage Mech. 3 (1994)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1996 Kluwer Academic Publishers

About this paper

Cite this paper

Sadowski, T. (1996). Micromechanical Approach to Modelling of Damage Process in Semi-Brittle Ceramics. In: Pineau, A., Zaoui, A. (eds) IUTAM Symposium on Micromechanics of Plasticity and Damage of Multiphase Materials. Solid Mechanics and its Applications, vol 46. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1756-9_30

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-1756-9_30

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7285-4

  • Online ISBN: 978-94-009-1756-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics