Skip to main content
SpringerLink
Log in

Modeling of Response of Composite Materials with Damage

  • Chapter
  • First Online:
Long-Term Durability of Polymeric Matrix Composites

  • 2140 Accesses

Abstract

Damage treated here is a multitude of surfaces formed within a composite that permanently change its response to external impulses. Examples of such damage are matrix cracking at different scales, fiber breakage, fiber/matrix debonding, and interply cracking (delamination). The response affected could be mechanical (stiffness properties), thermal (expansion and conductivity), time-dependent (viscoelastic), and in general any that is sensitive to the presence of internal surfaces. The representation of damage is by internal variables and the response functions are formulated in a thermodynamics framework. Although specific cases considered here are composite laminates with multiple sets of intralaminar cracks, the formulation has sufficient generality to treat other composite configurations and other energy-dissipating mechanisms such as thermal oxidation and radiation-induced morphological changes in polymers.

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

Access this chapter

Log in via an institution
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 EPUB and 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

Institutional subscriptions

References

  1. Adkins, J.E., Symmetry relations for orthotropic and transversely isotropic materials, Arch. Rat. Mech. An. 1960. 4: pp. 193–213.

    Article  Google Scholar 

  2. Ahci, E. and Talreja, R., Characterization of viscoelasticity and damage in high temperature polymer matrix composites. Composites Science and Technology, 2006. 66: p. 2506–2519.

    Article  CAS  Google Scholar 

  3. Highsmith, A.L. and K.L. Reifsnider, Stiffness-reduction mechanisms in composite laminates, in Damage in Composite Materials, K.L. Reifsnider, Editor. 1982, ASTM: Philadelphia. p. 103–117.

    Google Scholar 

  4. Kumar, R. and Talreja, R., Linear viscoelastic behavior of matrix cracked cross ply laminates. Mechanics of Materials, 2001. 33: p. 139–154.

    Article  Google Scholar 

  5. Nairn, J.A., Matrix Microcracking in Composites, in Polymer Matrix Composites, R. Talreja and J.A.E. Manson, Editors. 2000, Elsevier Science. p. 403–432.

    Google Scholar 

  6. Nemat-Nasser, S. and M. Hori, Micromechanics: Overall Properties of Heterogeneous Materials. 2 ed. 1999, Amsterdam: North Holland.

    Google Scholar 

  7. Singh, C.V. and R. Talreja, Analysis of multiple off-axis ply cracks in composite laminates. International Journal of Solids and Structures, 2008. 45(16): p. 4574–4589.

    Article  Google Scholar 

  8. Singh, C.V. and R. Talreja, Evolution of ply cracks in multidirectional composite laminates. International Journal of Solids and Structures, 2010. 47: p. 1338–1349.

    Article  Google Scholar 

  9. Singh, C.V. and R. Talreja, A synergistic damage mechanics approach for composite laminates with matrix cracks in multiple orientations. Mechanics of Materials, 2009. 41(8): p. 954–968.

    Article  Google Scholar 

  10. Spencer, A.J.M., Theory of invariants. In: C. Eringen, Editor, Continuum Physics, Academic Press, 1971. pp. 239–353.

    Google Scholar 

  11. Talreja, R., A Continuum-Mechanics Characterization of Damage in Composite-Materials. Proceedings of the Royal Society of London Series a-Mathematical Physical and Engineering Sciences, 1985. 399(1817): p. 195–216.

    Article  CAS  Google Scholar 

  12. Talreja, R., Transverse Cracking and Stiffness Reduction in Composite Laminates. Journal of Composite Materials, 1985. 19(4): p. 355–375.

    Article  CAS  Google Scholar 

  13. Talreja, R., Internal Variable Damage Mechanics of Composite Materials, in Yielding, Damage, and Failure of Anisotropic Solids, J.P. Boehler, Editor. 1990, Mechanical Engineering Publications: London. p. 509–533.

    Google Scholar 

  14. Talreja, R., Continuum Modeling of Damage in Ceramic Matrix Composites. Mechanics of Materials, 1991. 12(2): p. 165–180.

    Article  Google Scholar 

  15. Talreja, R., Damage Characterization by Internal Variables, in Damage Mechanics of Composite Materials, R. Talreja, Editor. 1994, Elsevier: Amsterdam. p. 53–78.

    Google Scholar 

  16. Varna, J., Joffe, R., Akshantala and Talreja, R., Damage in composite laminates with off-axis plies. Composites Science and Technology, 1999. 59(14): p. 2139–2147.

    Article  CAS  Google Scholar 

  17. Varna, J., N.V. Akshantala, and R. Talreja, Crack opening displacement and the associated response of laminates with varying constraints. International Journal of Damage Mechanics, 1999(8): p. 174–193.

    Article  CAS  Google Scholar 

  18. Varna, J., R. Joffe, and R. Talreja, A synergistic damage-mechanics analysis of transverse cracking in [+/−theta/90(4)](s) laminates. Composites Science and Technology, 2001. 61(5): p. 657–665.

    Article  Google Scholar 

  19. Varna, J., R. Joffe, and R. Talreja, Mixed micromechanics and continuum damage mechanics approach to transverse cracking in [S,90(n)](s) laminates. Mechanics of Composite Materials, 2001. 37(2): p. 115–126.

    Article  Google Scholar 

  20. Varna, J., Physical interpretation of parameters in synergistic continuum damage mechanics model for laminates, Composites Science and Technology, 2008. 68(13): pp. 2592–2600.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Aerospace Engineering, Texas A&M University, 736A H.R. Bright Building, 3141 TAMU, College Station, TX, 77843-3141, USA

    Ramesh Talreja

Authors
  1. Ramesh Talreja
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ramesh Talreja .

Editor information

Editors and Affiliations

  1. Dept. Mechanical Engineering, Stevens Institute of Technology, Castle Point of Hudson, Hoboken, 07030, New Jersey, USA

    Kishore V. Pochiraju

  2. Dept. Materials Engineering, University of Dayton, College Park 300, Dayton, 45469-0160, Ohio, USA

    Gyaneshwar P. Tandon

  3. Materials & Manufacturing Directorate, Air Force Research Lab., Wright-Patterson Air Force Base, Dayton, 45433-7702, Ohio, USA

    Gregory A. Schoeppner

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer Science+Business Media, LLC

About this chapter

Cite this chapter

Talreja, R. (2012). Modeling of Response of Composite Materials with Damage. In: Pochiraju, K., Tandon, G., Schoeppner, G. (eds) Long-Term Durability of Polymeric Matrix Composites. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-9308-3_4

Download citation

Publish with us

Policies and ethics

Search

Navigation