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Residual Stresses in Fibrous Metal Matrix Composites: A Thermoviscoplastic Analysis

  • Erhard Krempl
  • Nan-Ming Yeh
Conference paper
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)

Abstract

The vanishing fiber diameter model together with the thermoviscoplasticity theory based on overstress are used to analyze the thermomechanical rate (time)-dependent behavior of unidirectional fibrous metal—matrix composites. For the present analysis the fibers are assumed to be transversely isotropic thermoelastic and the matrix constitutive equation is isotropic thermoviscoplastic. All material functions and constants can depend on current temperature. Yield surfaces and loading/unloading conditions are not used in the theory in which the inelastic strain rate is solely a function of the overstress, the difference between stress and the equilibrium stress, a state variable of the theory. Assumed but realistic material elastic and viscoplastic properties as a function of temperature which are close to Gr/Al and B/Al composites permit the computation of residual stresses arising during cool down from the fabrication. These residual stresses influence the subsequent mechanical behavior in fiber and transverse directions. Due to the viscoplasticity of the matrix time-dependent effects such as creep and change of residual stresses with time are depicted. For Gr/Al residual stresses are affecting the free thermal expansion behavior of the composite under temperature cycling. The computational results agree qualitatively with scarce experimental results.

Keywords

Residual Stress Fiber Direction Transverse Strain Rensselaer Polytechnic Institute Residual Stress State 
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. Cheskis, H. P. and Heckel, R. W., 1970, “Deformation Behavior of Continuous—Fiber Metal—Matrix Composite Materials,” Metallurgical Transactions, Vol 1, pp. 1931–1942.CrossRefGoogle Scholar
  2. Dvorak, G. J. and Rao, M. S. M., 1976, “Thermal Stresses in Heat-Treated Fibrous Composites,” ASME Journal of Applied Mechanics, pp. 619–624.Google Scholar
  3. Dvorak, G. J. and Bahei-EL-Din, Y. A., 1982, “Plasticity Analysis of Fibrous Composites,” ASME Journal of Applied Mechanics, Vol. 49, pp. 327–335.CrossRefGoogle Scholar
  4. Garmong, G., 1974, “Elastic-Plastic Analysis of Deformation Induced by Thermal Stress in Eutectic Composites:1 Theory,” Metallurgical Transactions, Vol. 5, pp. 2183–2190.CrossRefGoogle Scholar
  5. Hillig, W. B., 1985, “Prospects for Ultra-High-Temperature Ceramic Composites,” Report No. 85CRD152, General Electric Research and Development Center.Google Scholar
  6. Krempl, E., 1979, “An Experimental Study of Room-Temperature Rate Sensitivity, Creep and Relaxation of Type 304 Stainless Steel,” Journal of the Mechanics and Physics of Solids, Vol. 27, pp. 363–375.CrossRefGoogle Scholar
  7. Krempl, E. and Lu, H., 1983, “Comparison of the Stress Responses of an Aluminum Alloy Tube to Proportional and Alternate Axial and Shear Strain Paths at Room Temperature,” Mechanics of Materials, Vol. 2, pp. 183–192.CrossRefGoogle Scholar
  8. Kreider, K. G. and Prewo, K. M., 1974, “Boron—Reinforced Aluminum,” Composite Materials, Vol. 4, Metallic Matrix Composites, Edited by Kenneth G. Kreider, Academic Press.Google Scholar
  9. Kujawski, D., Krempl, E., 1981, “The Rate (Time)-Dependent Behavior of Ti-7Al-2Cb-lTa Titanium Alloy at Room Temperature Under Quasi—Static Monotonic and Cyclic Loading,” ASME Journal of Applied Mechanics, Vol. 48, pp. 55–63.CrossRefGoogle Scholar
  10. Kural, M. K. and Min, B. K., 1984, “The Effects of Matrix Plasticity on the Thermal Deformation of Continuous Fiber Graphite/Metal Composites,” Journal of Composite Materials, Vol. 18, pp. 519–535.CrossRefGoogle Scholar
  11. Lee, K. D. and Krempl, E., 1990, “An Orthotropic Theory of Viscoplasticity Based on Overstress for Thermomechanical Deformations,” to appear in International Journal of Solids and Structures.Google Scholar
  12. Lee, K. D. and Krempl, E., 1990a, “Uniaxial thermomechanical loading. Numerical experiments using the thermal viscoplasticity theory based on overstress,” MML Report 90–1, Rensselaer Polytechnic Institute, March.Google Scholar
  13. Min, B. K. and Crossman, F. W., 1982, “History—Dependent Thermo—mechanical Properties of Graphite/Aluminum Unidirectional Composites,” Composite Materials: Testing and Design (Sixth Conference), ASTM STP 787, I. M. Daniel, Ed, American Society for Testing and Materials, pp. 371–392.CrossRefGoogle Scholar
  14. Tompkins, S. S. and Dries, G. A., 1988, “Thermal Expansion Measurement of Metal Matrix Composites,” SPIOBA ASTM STP 964, P. R. DiGiovanni and N. R. Adsit, Editors, American Society for Testing and Materials, Philadelphia, pp. 248–258.Google Scholar
  15. Tsirlin, A. M., 1985, “Boron Filaments,” Handbook of Composites, Volume 1, “Strong Fibers,” Editors: Watt, W. and Perov, B. V., North—Holland.Google Scholar
  16. Wu, J. F., Shephard, M. S., Dvorak, G. J. and Bahei-EL-Din, Y. A., 1989, “A Material Model for the Finite Element Analysis of Metal—Matrix Composites,” Composites Science and Technology, Vol. 35, pp. 347–366.CrossRefGoogle Scholar
  17. Yao, D. and Krempl, E., 1985, “Viscoplasticity Theory Based on Overstress. The Prediction of Monotonic and Cyclic Proportional and Nonproportional Loading Paths of an Aluminum Alloy,” Int. Journal of Plasticity, Vol. 1, pp. 259–274.CrossRefGoogle Scholar
  18. Yeh, N. M. and Krempl, E., 1990, “Thermoviscoplastic Analysis of Fibrous Metal-Matrix Composites,” MML Report 90–2, Rensselaer Polytechnic Institute, March.Google Scholar

Copyright information

© Springer-Verlag New York Inc. 1991

Authors and Affiliations

  • Erhard Krempl
    • 1
  • Nan-Ming Yeh
    • 1
  1. 1.Mechanics of Materials LaboratoryRensselaer Polytechnic InstituteTroyUSA

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