Skip to main content

A Micromechanical Model for Predicting Fatigue Response of Metal Matrix Composites Subjected to Environmental Degradation

  • Conference paper
  • 315 Accesses

Part of the book series: Solid Mechanics and its Applications ((SMIA,volume 60))

Abstract

It has been observed in titanium matrix continuous fiber composites that structural life at elevated temperatures is significantly shorter in air than in inert gas. The physical reasons for this degradation in life are dependent on the titanium alloy considered. In this paper the metastable Ti-ß 21S matrix alloy is considered, and is embedded with SCS-6 fibers to produce a four ply unidirectional laminate.

Experimental results are briefly reviewed for laminates subjected to cyclic loading to failure at 482°C. It is demonstrated that life is reduced by a factor of about five when a specimen is first degraded by placing it in an oven for 24 hours at 700°C, and that this reduction is not due to oxidation. Rather, it is due to the development of a graded structure of brittle alpha grains that form due to oxygen diffusion into the matrix along the boundaries of the beta grains. These alpha grains induce microcracks near the surface of the composite that propagate into the interior of the composite and ultimately lead to premature failure of the structure.

A computational model is employed herein based on the above experimental observations. This model utilizes the finite element method to predict the thermomechanical response of a unit cell of the laminate subjected to cyclic loading. The algorithm accounts for phase heterogeneity, matrix thermoviscoplasticity, and damage evolution due to surface cracking and fiber-matrix debonding. Crack growth is modelled via the inclusion of cohesive zones wherever experimental observations indicate that cracks may grow. Environmental degradation is accounted for by degrading the properties of the cohesive zone near the composite free surface, in accordance with experimental determinations of fracture toughness of the degraded material.

Predictions obtained with the model indicate several useful observations. First, the effect of matrix viscoplasticity is important and should not be neglected in modelling. Second, there are significant differences between model predictions for the degraded and as-received material. Thus, with more advanced computers it may be possible to utilize the approach described herein to predict the effect of environmental degradation on structural life in continuous fiber metal matrix composites.

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

  • Allen, D. H., Jones, R. H., and Boyd, J. G., 1994, “Micromechanical Analysis of a Continuous Fiber Metal Matrix Composite Including the Effects of Matrix Viscoplasticity and Evolving Damage,” Journal of Mechanics and Physics of Solids, Vol. 42, No. 3, pp. 502–529.

    Google Scholar 

  • Allen, D. H., Eggleston, M. R., and Hurtado, L. D., 1995, “Recent Research on Damage Development in SiC/Ti Continuous Fiber Metal Matrix Composites,” to appear in Fracture of Composites, E. A. Armanios, E., in Key Engineering Materials, Trans Tech Publications, 1995.

    Google Scholar 

  • Allen, D.H., Foulk, J.W., Helms, K.L.E., 1996, “A Model for Predicting the Effect of Environmental Degradation on Damage Evolution in Metal Matrix Composites,” to appear in the proceedings on Applications of Continuum Damage Mechanics to Fatigue and Fracture, Orlando, FL.

    Google Scholar 

  • Chan, K. S., Bodner, S. R., and Lindholm, U. S., 1988, “Phenomenological Modeling of Hardening and Thermal Recovery in Metals,” Journal of Engineering Materials and Technology, pp. 1–8.

    Google Scholar 

  • Coker, D., Ashbaugh, N. E., and Nicholas, T., 1993, “Analysis of the Thermomechanical Behavior of [0] and [0/90] SCS-6/Timetal®21S Composites,” in the proceedings of the ASME Winter Annual Meeting.

    Google Scholar 

  • Foulk, J.W., 1994, “Isothermal Behavior of Metal SCS-6/Ti-ß21S [0]4 Matrix Composite at 482°C,” Undergraduate Summer Research Programs, Texas A&M University, pp. 256–264.

    Google Scholar 

  • Gambone, M.L. and Wawner, F.E., 1994, “The Effect of Elevated Temperature Exposure of Composites on the Strength Distribution of Reinforcing Fibers,” Intermetallic Matrix Composites III, J.A. Graves, R.R. Bowman, and J.J. Lewandowski, eds., MRS, Pittsburgh, PA, pp. 111–118.

    Google Scholar 

  • Hurtado, L. D., and Allen, D. H., 1994, “Effect of Oxidation on Damage Evolution in Titanium Matrix MMC’s”, in the proceedings of the Symposium on Inelasticity and Micromechanics in Metal Matrix Composites, Twelfth U.S. National Congress of Applied Mechanics, Seattle, WA.

    Google Scholar 

  • Kroupa, J. L., Neu, R. W., Nicholas, T., Coker, D., Robertson, D. D., Mall, S., 1996, “A Comparison of Analysis Tools for Predicting the Inelastic Cyclic Response of Cross-Ply Titanium Matrix Composites,” Life Prediction Methodology for Titanium Matrix Composites, ASTM STP 1253, W.S. Johnson, J.M. Larsen, and B.N. Cox, Eds., ASTM, pp. 297–327.

    Google Scholar 

  • Lagoudas, D. C., Ma, X., Miller, D. A., and Allen, D. H., 1995, “Modelling of Oxidation in Metal Matrix Composites,” International Journal of Engineering Science, Vol. 33, pp. 252–263.

    Google Scholar 

  • Majumdar, B.S., and Newaz, G.M., 1991, “Thermomechanical Fatigue of a Quasi-Isotropic Metal Matrix Composite,” Composite Materials: Fatigue and Fracture (Third Volume), ASTM STP II, T.K. O’Brien, Ed., pp. 732–752, American Society for Testing and Materials, Philadelphia, PA.

    Google Scholar 

  • Neu, R. W., and Nicholas, T., 1993, “Thermomechanical Fatigue of SCS-6/Timetal 21S Under Out-of-Phase Loading,” in the proceedings of the 1993 ASME Winter Annual Meeting, New Orleans, LA.

    Google Scholar 

  • Neu, R.W., Coker, D., Nicholas, T., 1994, “Cyclic Behavior of Unidirectional And Cross-Ply Titanium Matrix Composites,” International Journal of Plasticity, Vol. 12, No. 3, pp. 361–385.

    Google Scholar 

  • Neu, R. W., 1995, “Thermomechanical Fatigue Damage Mechanism Maps for Metal Matrix Composites,” Thermo-Mechanical Fatigue Behavior of Materials: 2nd Volume, ASTM STP 1263, M. J. Verrilli and M. G. Castelli, Eds., American Society for Testing and Materials, Philadelphia, PA.

    Google Scholar 

  • Nicholas, T., 1995. “Fatigue Life Prediction in Titanium Matrix Composites,” Journal of Engineering Materials and Technology, 117:440–447.

    Google Scholar 

  • Tamin, M. N., Zheng, D., and Ghonem, H., 1994, “Time-Dependent Behavior of Continuous-Fiber-Reinforced Metal Matrix Composites: Modelling and Applications,” submitted to the Journal of Composites Technology and Research.

    Google Scholar 

  • Tvergaard, V., 1990, “Effect of Fiber Debonding in A Whisker-Reinforce Metal,” Materials Science & Engineering A: Structural Materials: Properties, Microstructure, and Processing, Vol. A125, No. 2, p. 203–213.

    Google Scholar 

  • Wallace, T. A., Wiedemann, K. E., and Clark, R. K., 1992, “Oxidation Characteristics of Beta-21S in Air in the Temperature Range 600 to 800°C,” National Aeronautics and Space Administration, Langley Research Center, Langley, VA.

    Google Scholar 

  • Wallace, T.A., Bird, R.K., and Wiedemann, K.E., 1993, “The Effect of Oxidation on the Mechanical Properties of Beta-21S,” Beta Titanium Alloys in the 1990’s, Eylon, D., Boyer, R.R., and Koss, D.A., eds., The Minerals, Metals, & Materials Society, pp. 115–126.

    Google Scholar 

  • Wittig, L. A., and Allen, D. H., 1994, “Modeling the Effect of Oxidation on Damage in SiC/Ti-15-3 Metal Matrix Composites,” Journal of Engineering Materials and Technology, Vol. 116, pp. 421–427.

    Google Scholar 

  • Xu, S., Lagoudas, D. C., and Allen, D. H., 1995, “Effects of Oxidation and Damage on the Mechanical Response of Metal Matrix Composites,” in the proceedings of the ASME Winter Annual Meeting, New Orleans, LA.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Kluwer Academic Publishers

About this paper

Cite this paper

Foulk, J.W., Allen, D.H., Lagoudas, D.C. (1998). A Micromechanical Model for Predicting Fatigue Response of Metal Matrix Composites Subjected to Environmental Degradation. In: Bahei-El-Din, Y.A., Dvorak, G.J. (eds) IUTAM Symposium on Transformation Problems in Composite and Active Materials. Solid Mechanics and its Applications, vol 60. Springer, Dordrecht. https://doi.org/10.1007/0-306-46935-9_2

Download citation

  • DOI: https://doi.org/10.1007/0-306-46935-9_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-5122-1

  • Online ISBN: 978-0-306-46935-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics