Skip to main content

Non-Linear Response of Concrete: Interaction of Size, Loading Step and Material Property

  • Chapter
Application of Fracture Mechanics to Cementitious Composites

Part of the book series: NATO ASI Series ((NSSE,volume 94))

Abstract

Materials that may appear to be homogeneous to the naked eye are, in fact, highly inhomogeneous when viewed through a microscope. To a design engineer, geometric irregularities alone are not sufficient for defining the strength of material. The load carrying capacities of structural members as a function of their corresponding elongations are necessary. Such information can be obtained by subjecting specimens with simple geometries to tensile or compressive loads at controlled loading rates. The resulting data plotted in terms of uniaxial stress and strain can be linear or nonlinear depending on the combined effect of specimen size and geometry, loading rate and material type. This procedure presents fundamental difficulties in design when the stress and strain response becomes nonlinear. Lacking in particular is a knowledge of how uniaxial test data could be used under service conditions where the stress states are multiaxial.

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

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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. Sih, G. C.: Geometrical Size Effect in Fracture, Fracture Mechanics in Engineering Application, edited by G. C. Sih and S. R. Valluri, Sijthoff and Noordhoff (1979) 3–29.

    Google Scholar 

  2. Sih, G. C., The Mechanics Aspects of Ductile Fracture, Continuum Models of Discrete Systems, edited by J. W. Provan, University of Waterloo Press (1977) 361–386.

    Google Scholar 

  3. Sih, G. C. and Madenci, E., Crack Growth Resistance Characterized by the Strain Energy Density Function, International Journal of Fracture Mechanics, Vol. 18, No. 6 (1983) 1159–1171.

    Article  Google Scholar 

  4. Ballarin, R., Shah, S. P. and Keer, L. M., Crack Growth i n Cement Based Composites, Journal of Engineering Fracture Mechanics (to appear).

    Google Scholar 

  5. Bernstein, H. L., A Study of the J-Integral Method Polycarbonate, AFWAL-TR-82–4080, Air Force Wright Aeronautical Laboratories, Wright-Patterson Air Force Base, Ohio (August 1982).

    Google Scholar 

  6. Sih, G. C. and Tzou, D. Y., Crack Extension Resistance of Polycarbonate Material, Journal of Theoretical and Applied Fracture Mechanics, Vol. 2, No. 3, North Holland (in press).

    Google Scholar 

  7. Mindess, S., The Cracking and Fracture of Concrete: An Annotated Bibliography, 1928–1980, Materials Research Series, Report No. 2, I.S.S.N. 0228–4251, The University of British Columbia, Vancouver (1981).

    Google Scholar 

  8. Sih, G. C., Mechanics of Material Damage in Concrete, Fracture Mechanics, of Concrete: Material Evaluation and Testing, edited by A. Carpinteri and A. R. Ingraffea, Martinus Nijhoff Publishers, The Hague (1984) 1–29.

    Google Scholar 

  9. Ingraffea, A. R. and Saouma, V., Numerical Modeling of Discrete Crack Propagation in Reinforced and Plain Concrete, Fracture Mechanics of Concrete: Structural Application and Numerical Application, edited by G. C. Sih and A. DiTommaso, Martinus Nijhoff Publishers, The Hague (1984).

    Google Scholar 

  10. Carpinteri, A., Scale Effects in Fracture of Plain and Reinforced Concrete Structures, Fracture Mechanics of Concrete: Structural Application and Numerical Application, edited by G. C. Sih and A. DiTommaso, Martinus Nijhoff Publishers, The Hague (1984).

    Google Scholar 

  11. Gdoutos, E. E., Mixed Mode Crack Extension, Engineering Application of Fracture Mechanics, Vol. II, Martinus. Nijhoff Publishers, The Hague (1984).

    Google Scholar 

  12. Sih, G. C. and Matic, P., A Pseudo-Linear Analysis of Yielding and Crack Growth: Strain Energy Density Criterion, Defects, Fracture and Fatigue, edited by G. C. Sih and J. W. Provan, Martinus Nijhoff Publishers, The Hague (1983) 223–232.

    Google Scholar 

  13. Gillemot, L. F., Criterion of Crack Initiation and Spreading, International Journal of Engineering Fracture Mechanics, Vol. 8 (1976) 239–253.

    Article  Google Scholar 

  14. Carpinteri, A. and Sih, G. C., Damage Accumulation and Crack Growth in Bilinear Materials with Softening: Application of Strain Energy Density Theory, Journal of Theoretical and Applied Fracture Mechanics, Vol. 2, No. 2, North Holland (in press).

    Google Scholar 

  15. Plane Strain Crack Toughness Testing of High Strength Metallic Materials, edited by W. F. Brown, Jr. and J. E. Srawley, ASTM Special Technical Publication No. 410 (1966).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1985 Martinus Nijhoff Publishers, Dordrecht

About this chapter

Cite this chapter

Sih, G.C. (1985). Non-Linear Response of Concrete: Interaction of Size, Loading Step and Material Property. In: Shah, S.P. (eds) Application of Fracture Mechanics to Cementitious Composites. NATO ASI Series, vol 94. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5121-1_1

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-5121-1_1

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8764-3

  • Online ISBN: 978-94-009-5121-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics