Skip to main content
SpringerLink
Log in

Nonlinear characterization of sand-asphalt concrete by means of permanent-memory norms

Experimental and theoretical investigations demonstrate that extended nonlinear, homogeneous constitutive equations using Pth order Lebesgue norms are readily applicable to defining the mechanical behavior of sand-asphalt concrete

  • Published:
Experimental Mechanics Aims and scope Submit manuscript

Abstract

Employing a constitutive equation developed by Farris and Fitzgerald which accounts for the maximum strain ever imposed upon a material as well as a weighted average of the strain history, the family of Pth order Lebesgue norms, the applicability to a sand-asphalt concrete is demonstrated. The inadequacy of linear viscoelasticity theory under repeated or decreasing loadings for these materials is also demonstrated. Practical laboratory determination of the material parameters is described.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Farris, R. J., “Homogeneous Constitutive Equations for Materials with Permanent Memory,” AFOSR Scientific Report No. 70-1962TR, College of Eng., Univ. of Utah.

  2. Fitzgerald, J. E. and Hufferd, W. L., “Nonlinear Viscoelasticity,” UTEC CE 71-034, Dept. of Civil Eng., Univ. of Utah (Feb. 1971).

  3. Truesdell, C., The Elements of Continuum Mechanics, Springer-Verlag, Inc., New York (1966).

    Google Scholar 

  4. Eringen, A. C., Nonlinear Theory of Continuous Media, McGraw-Hill, Inc., New York (1962).

    Google Scholar 

  5. Taylor, A. E., Introduction to Functional Analysis, John Wiley & Sons, Inc., New York (1958).

    Google Scholar 

  6. Truesdell, C. andNoll, W., The Nonlinear Field of Mechanics, Encyclopedia of Physics,3,Springer-Verlag, Inc.,Berlin (1965).

    Google Scholar 

  7. Farrts, R. J., “Applications of Nonlinear Viscoelasticity and Cumulative Damage,” 1565-26-a-2, Aerojet Solid Propulsion Company (Oct. 1970).

  8. Lai, J. S. and Findley, W. N., “Stress Relaxation of Nonlinear Viscoelastic Material Under Uniaxial Strain,” Trans. Soc. Rheol.,12 (1968).

  9. Fitzgerald, J. E. andFarris, R. J., “Deficiencies of Viscoelastic Theories as Applied to Solid Propellants,”Bull. of the First Joint Army-Navy-NASA-Air Force Meeting of the Working Group on Mech. Beh., CPIA Pub. No. 160, The Johns Hopkins Univ., MD (May 1970).Also published in Trans. of the Soc. of Rheology (1970).

    Google Scholar 

  10. Volterra, V., Theory of Functionals and Integral and Integro Differential Equations, Dover Publications, Inc., New York (1959).

    Google Scholar 

  11. Green, A. E. and Rivlin, R. S., “The Mechanics of Nonlinear Materials with Memory,” Arch. Rat. Mech. Anal. (1959).

  12. Hermann, L. R., “On a General Theory of Viscoelasticity,” J. Franklin Institute (1965).

  13. Coleman, B. D. and Noll, W., “An Approximation Theorem for Functionals with Applications in Continuum Mechanics,” Arch. Rat. Mech. Anal. (1960).

  14. Fitzgerald, J. E., “Thermomechanical Coupling in Viscoelastic Materials,” Proc. Int. Conf. on Structures, Solid Mech., and Eng. Design in Civil Eng. Mat., Southampton Univ., England (April 21–25, 1969); published by John Wiley and Sons (1972). (Discussion to above).

  15. Fitzgerald, J. E. and Farris, R. J., “Characterization and Analysis Methods for Nonlinear Viscoelastic Materials,” Project THEMIS, publ. UTEC TH70-204 (available through AFOSR) 73–105 (Nov. 1970).

Download references

Author information

Author notes

  1. J. Vakili (Fullbright Fellow)

    Present address: University of Tabriz, Iran

Authors and Affiliations

  1. University of Utah, 84112, Salt Lake City, UT

    J. E. Fitzgerald (Professor of Applied Mechanics and Civil Engineering) & J. Vakili (Fullbright Fellow)

Authors
  1. J. E. Fitzgerald
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. Vakili
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fitzgerald, J.E., Vakili, J. Nonlinear characterization of sand-asphalt concrete by means of permanent-memory norms. Experimental Mechanics 13, 504–510 (1973). https://doi.org/10.1007/BF02322338

Download citation

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02322338

Keywords

Search

Navigation