Skip to main content

Thermal Deformations and Stresses in Composite Materials

  • Chapter
Thermal Stresses in Severe Environments

Abstract

Composite materials are highly anisotropic thermally with the coefficient of thermal expansion in the fiber direction much lower than that in the transverse to the fiber direction. Coefficients of thermal expansion in unidirectional and multidirectional laminates can be calculated by using the properties of the constituents and lamination theory. Residual stresses are introduced in multidirectional laminates during curing as a result of thermal anisotropy. These stresses have been investigated analytically and experimentally It was found that the significant strains recorded during the cooling stage of curing correspond to thermal expansion of the laminate. Residual or restraint strains are computed from measured restrained and unrestrained thermal expansions. Residual stresses are computed using appropriate orthotropic constitutive relations. Results have been obtained from a variety of materials including boron, graphite, Xevlar, S-glass and hybrids with epoxy or polyimide matrices, for a variety of lamination angles. It was found that residual stresses do not relax appreciably with time. Results show that, for graphite and Kevlar laminates, residual stresses at room temperature are high enough to have caused damage in the transverse to the fiber direction.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. I.M. Daniel and A.J. Durelli, “Photoelastic Investigation of Residual Stresses in Glass-Plastic Composites,” Proc. of 16th Conf. of Reinf. Plastics Div., Soc. of Plastics Industry, 19-A: 1 (1961).

    Google Scholar 

  2. I.M. Daniel and A.J. Durelli, “Shrinkage Stresses Around Rigid Inclusions,” Exp. Mechanics, 2:240 (1962).

    Article  Google Scholar 

  3. T. Koufopoulos and P.S. Theocaris, “Shrinkage Stresses in Two-Phase Materials,” J. Composite Materials, 3:308 (1969).

    Article  Google Scholar 

  4. I.M. Daniel, “Photoelastic Studies of Mechanics of Composites” in IIT Research Institute Report No. M6132 to General Dynamics: Application of Advanced Fibrous Reinforced Composite Materials, Contract AF33(615)-3323, (1966).

    Google Scholar 

  5. I.M. Daniel, “Micromechanics” in “Structural Airframe Application of Advanced Composite Materials,” Tech. Report AFML-TR-69-101, Vol. I I (1969)

    Google Scholar 

  6. A.J. Durelli, V.J. Parks, H.C. Feng and F. Chiang, Strains and Stresses in Matrices with Inserts in “Mechanics of Composite Materials,” J.TJ. Wendt, H. Liebovitz, and N. Perrone, eds, Pergamon Press, New York, (1970).

    Google Scholar 

  7. R.H. Marloff and I.M. Daniel, “Three-Dimensional Photoelastic Analysis of a Fiber-Reinforced Composite Model,” Exp. Mechanics, 9:156 (1969).

    Article  Google Scholar 

  8. C.C. Chamis. “Design and Analysis of Fiber Composite Structural Components,” NASA Report SP227, (1970).

    Google Scholar 

  9. C.C. Chamis, “Lamination Residual Stresses in Cross-Plied Fiber Composites,” Proc. of 26th Annual Conference of SPI, Reinforced Plastics7Composites Division, 17-D. (1971).

    Google Scholar 

  10. C.C. Chamis, and T.L. Sullivan, “A Computational Procedure to Analyze Metal Matrix Laminates with Nonlinear Lamination Residual Strains,” Composite Reliability. ASTM STP 580, American Society for Testing and Materials, 327 (1975).

    Google Scholar 

  11. H.T. Hahn and N.J. Pagano, “Curing Stresses in Composite Laminates,” J. Composite Materials, 9:91 (1975).

    Article  Google Scholar 

  12. H.T. Hahn, “Residual Stresses in Polymer Matrix Composite Laminates,” J. Composite Materials, 10:266 (1976).

    Article  Google Scholar 

  13. I.M. Daniel and T. Liber, “Lamination Residual Stresses in Fiber Composites,” IITRI Report D6073-I, for NASA-Lewis Research Center, NASA CR-134826, (1975).

    Google Scholar 

  14. I.M. Daniel, T. Liber and C.C. Chamis, “Measurement of Residual Strains in Boron/Epoxy and Glass/Epoxy Laminates,” Composite Reliability, ASTM STP 580, American Society for Testing and Materials, 340, (1975).

    Google Scholar 

  15. I.M. Daniel and T. Liber, “Lamination Residual Stresses in Hybrid Composites,” IITRI Report D6073-II, NASA CR-135085, (1976).

    Google Scholar 

  16. I.M. Daniel and T. Liber, “Measurement of Lamination Residual Strains in Graphite Fiber Laminates,” Proc. of Second International Conference on Mechanical Behavior of Materials, ICM-II, Boston (1976).

    Google Scholar 

  17. I.M. Daniel and T. Liber, “Effect of Laminate Construction on Residual Stresses in Graphite/Polyimide Composites,” Exper. Mechanics, 17:21, (1977).

    Article  Google Scholar 

  18. I.M. Daniel and T. Liber, “Lamination Residual Strains and Stresses in Hybrid Laminates,” Composite Materials: Testing and Design (Fourth Conference), ASTM STF 617, American Society for Testing and Materials, 331, (1977).

    Google Scholar 

  19. R.A. Schapery, “Thermal Expansion Coefficients of Composite Materials Based on Energy Principles,” J. Composite Materials, 2:380 (1968).

    Article  Google Scholar 

  20. B.W. Rosen and Z. Hashin, International Journal of Engineering Science, 8: 157 (1970).

    Article  Google Scholar 

  21. J.E. Ashton, J.C. Halpin and P.H. Petit, ’Primer on Composite Materials:Analysis, Technomic, Stamford, (1966).

    Google Scholar 

  22. Grumman Aerospace Corp., “Advanced Composite Wing Structures-Boron/Epoxy Design Data,” Vol. II, Analytical Data, Tech. Report AL-SM-ST-8085, (1969).

    Google Scholar 

  23. J.C. Halpin and N.J. Pagano, Consequences of Environmentally Induced Dilatation in Solids, in “Recent Advances in Engineering Science,” A.C. Eringen, ed., Gordon and Breach, London (1970).

    Google Scholar 

  24. J.M. Whitney, I.M. Daniel and R.B. Pipes, “Experimental Mechanics of Fiber Reinforced Composite Materials,” Society for Experimental Stress Analysis Monograph, to be published by Iowa State University Press.

    Google Scholar 

  25. W.T. Freeman and M.D. Campbell, “Thermal Expansion Characteristics of Graphite Reinforced Composite Materials.” Composite Materials: Testing and Design (Second Conference), ASTM STP 497, American Society for Testing and Materials, (1972).

    Google Scholar 

  26. N.P. Freund, “Measurement of Thermal and Mechanical Properties of Graphite/Epoxy Composites for Precision Applications,” Composite Reliability, ASTM STP 580, American Society for Testing and Materials, (1975).

    Google Scholar 

  27. A.S.D. Wang, R.B. Pipes and A. Ahmadi, “Thermo elastic Expansion of Graphite-Epoxy Unidirectional and Angle-Ply Composites,” Composite Reliability, ASTM STP 580, American Society for Testing and Materials, (1975).

    Google Scholar 

  28. M.B. Kasen, “Properties of Filamentary-Reinforced Composites at Cryogenic Temperatures,” Composite Reliability, ASTM STP 580, American Society for Testing and Materials, (1975).

    Google Scholar 

  29. L.W. Toth, B.R. Lloyd and R.L. Tennant, “Determination of the Performance of Plastic Laminates at Cryogenic Temperatures,” ASD-TDR-62-794, Part II (N64-24212), Wright-Patterson Air Force Base, (1964).

    Google Scholar 

  30. I.M. Daniel and T. Liber, Relaxation of Residual Stresses in Angle-Ply Composite Laminates, in “Composite Materials: The Influence of Mechanics of Failure on Design,” Army SymDosium on Solid Mechanics, (1976).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1980 Plenum Press, New York

About this chapter

Cite this chapter

Daniel, I.M. (1980). Thermal Deformations and Stresses in Composite Materials. In: Hasselman, D.P.H., Heller, R.A. (eds) Thermal Stresses in Severe Environments. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3156-8_38

Download citation

  • DOI: https://doi.org/10.1007/978-1-4613-3156-8_38

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-3158-2

  • Online ISBN: 978-1-4613-3156-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics