Skip to main content

Fracture and size effect characters of cemented sand

  • Chapter
Fracture Scaling

Abstract

In the past three decades, fracture mechanics (FM) of brittle and quasibrittle materials have developed mainly in concrete applications and has yet to gain its rightful place in the geotechnical field. There are many examples in the geotechnical literature, especially those related to brittle and stiff soils, where traditional approaches of analysis have proven to be inadequate. While geotechnical problems are inherently complex in nature, the use of computational fracture mechanics have been shown to provide a powerful tool that could be used to investigate and solve many application problems in geomechanics and geotechnical engineering. This paper addresses the application of FM concepts and theories in analysis of cemented soils. In addition to theoretical aspects, experiments were conducted to evaluate the application of FM to cemented soils. Three-point bending beam tests with crack mouth opening displacements (CMOD) conducted on cemented sand samples showed that fracture parameters, such as CMOD, indeed could play an important role in investigation of such soils. Using this unambiguous material parameter, field engineers might have a reliable measure that could prove to be useful in stability assessment of earth structures and soil structure system. By studying size effect on cemented sand, strong relationship was established between critical CMOD and failure, which might be a very useful index and analysis tool in geotechnical engineering practice.

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 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Anderson, T.L. (1995). Fracture Mechanics, Fundamentals and Applications, CRC Press, Aim Arbor, (2nd edn).

    MATH  Google Scholar 

  • Ayari, M.L. (1994). Simex, User’s Manual, University of Manitoba, Canada

    Google Scholar 

  • Babuska, I. and Miller, A. (1984). The post-processing approach to finite element method - Part II: The calculation of stress intensity factors. International Journal for Numerical Methods in Engineering 20, 111–129.

    Google Scholar 

  • Barsoum, R.S. (1974). Application of quadratic isoparametric finite element in linear fracture mechanics. International Journal of Fracture 10, 603–605.

    Article  Google Scholar 

  • Bishop, A.W. (1967). Shear strength of OC clays. Proceedings of the Geotechnical Conference 2, 153–154.

    Google Scholar 

  • Bishop, A.W. and Little, A.L. (1967). The influence of the size and orientation of the sample on the apparent strength of London clay at Malden, Essex. Proceedings of the Geotechnical Conference 1, 89–96.

    Google Scholar 

  • Bjerrum, L. (1967). Progressive failure in slopes of OC plastic clay and clay shales. Journal of Soil Mechanics and Foundations, ASCE 93 (SM5), 3–49.

    Google Scholar 

  • Bjerrum, L., Nash, J.K.T.L., Kennard, R.M. and Gibson, R.E. (1972). Hydraulic fracturing and field permeability testing. Géotechnique 22(2), 319–332.

    Article  Google Scholar 

  • Briaud, J.L. (1986). Pressuremeter and foundation design, ASCE Specialty Conference - The Use of In Situ Tests in Geotechnical Engineering, Blacksburg, VA, June, 74–85.

    Google Scholar 

  • Broek, D. (1991). Elementary Engineering Fracture Mechanics, Kluwer Academic Publishers (4th edn).

    Google Scholar 

  • Butterfield, (1986), Personal communication with Stein Sture.

    Google Scholar 

  • Cai, W.M., Murti, V. and Valliappan, S. (1990). Slope stability analysis using fracture mechanics approach. Theoretical and Applied Fracture Mechanics 12, 261–281.

    Article  Google Scholar 

  • Erdogan, F. and Sih, G.C. (1963). On the crack extension in plates under plane loading and transverse shear. Journal of Basic Engineering 85, 519–527.

    Article  Google Scholar 

  • Fang, H.-Y. (1994). Cracking and fracture behavior of soils. ASCE, Geotechnical Special Publication No. 43 - Fracture Mechanics, Applied to Geotechnical Engineering, Oct. 9–13 (Edited by L.E. Vallejo and R.Y. Liang), Atlanta, Georgia, 102–117.

    Google Scholar 

  • Fang, H.-Y., Mikrudis, G.K. and Pamukcu, (1989). Fracture behavior of compacted fine-grained soils. ASTM STP 1020 - Fracture Mechanics, Perspectives and Directions (Edited by R.P. Wei and R.P. Gangloff) Philadelphia, 659–667.

    Chapter  Google Scholar 

  • Gould, J.P. (1960). A study of shear failure in certain tertiary marine sediments. Proceedings of ASCE Conference on the Shear Strength of Soils, Boulder, Colorado, 615–641.

    Google Scholar 

  • Griffith, A.A. (1921). The phenomena of rupture and flow in solids. Philosophical Transaction of the Royal Society of London A 221, 163–197.

    Article  ADS  Google Scholar 

  • Haberfield, C.M. and Johnson, I.W. (1989). Relationship between fracture toughness and tensile strength for geo- materials. Proceedings of 12th International Conference of Soil Mechanics and Foundations, Rio de Janeiro, Brazil, Vol. I, 47–52.

    Google Scholar 

  • Haberfield, C.M. and Johnson, I.W. (1990). Determination of the fracture toughness of a saturated soft rock. Canadian Geotechnical Journal 27(3), 276–284.

    Article  Google Scholar 

  • Hanson, J.A. and Hardin, B.O. (1994). Cracking in clays: Solutions to problems in earth structures. International Journal for Numerical and Analytical Methods in Geomechanics 18, 467–484.

    Article  ADS  Google Scholar 

  • Harison, J.A., Hardin, B.O. and Mahboub, K. (1994). Fracture toughness of compacted cohesive soils using ring test. Journal of Geotechnical Engineering, ASCE 120(5), 872–889.

    Article  Google Scholar 

  • Henshell, R.D. and Shaw, K.G. (1975). Crack tip elements are unnecessary. International Journal of Numerical Methods in Engineering 9(3), 495–509.

    Article  ADS  MATH  Google Scholar 

  • Hussain, M.A., Pu, S.L. and Underwood, J.H. (1974). Strain energy release rate for a crack under combined mode I and mode II. Fracture Analysis, ASTM, STP 560, 2–28.

    Google Scholar 

  • Ingraffea, A.R. and Manu, C. (1980). Stress-intensity factor computations in three dimensions with quarter-point elements. International Journal for Numerical Methods Engineering 15(10), 1427–1445.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  • Irwin, G.R. (1957). Analysis of stresses and strains near the end of a crack traversing a plate. Journal of Applied Mechanics, Transaction ASME 24, 361–364.

    Google Scholar 

  • Jenq, Y.S. and Shah, S.P. (1985). A two parameter fracture model for concrete. Journal of Engineering Mechanics Division, ASCE 111(4), 1227–1241.

    Article  Google Scholar 

  • Lajtai, E.Z., Carter, B.J. and Ayari, M.L. (1990). Brittle fracture criteria for compression. Engineering Fracture Mechanics 37(1), 59–74.

    Article  Google Scholar 

  • Lee, F.-H., Lo, K.-W. and Lee, S.-L. (1988). Tension crack development in soils. Journal of Geotechnical Engineering, ASCE 114(8), 915–930.

    Article  Google Scholar 

  • Lo, K.Y. (1970). The operational strength of fissured clays. Géotechnique 20(1), 57–74.

    Article  Google Scholar 

  • Lo, K.Y. (1972). An approach to the problem of progressive failure. Canadian Geotechnical Journal 9, 407–429.

    Article  Google Scholar 

  • Lutton, R.J. (1969). Fractures and failure mechanics in loess and applications to rock mechanics. Research Report S-69–1, US Army Corps of Eng. Waterways Experiment Station, Corps of Eng., Vicksburg, Miss.

    Google Scholar 

  • Mitchell, J.K. (1976). Fundamentals of Soil Behavior, John Wiley and Sons, New York.

    Google Scholar 

  • Morgenstern, N.R. and Tchalenko, J.S. (1967a). Microscopic structures in Kaolin subjected to direct shear. Géotechnique 17, 309–328.

    Article  Google Scholar 

  • Morgenstern, N.R. and Tchalenko, J.S. (1967). Microstructural observations on shear zones from slip in natural clays. Proceedings of Geotechnical Conference 2, 146–152.

    Google Scholar 

  • Mould, J.C., Jr. (1983). Stress Induced Anisotropy and the Evaluation of Multi-surface Elasto-plastic Material Model, PhD thesis, University of Colorado, Boulder.

    Google Scholar 

  • O’Rourk, T.D. and Crespo, E. (1988). Geotechnical properties of cemented volcanic soil. Journal of Geotechnical Engineering, ASCE 114(10), 1126–1147.

    Article  Google Scholar 

  • Owen, D.R.J. and Hinton, E. (1983). Engineering Fracture Mechanics: Numerical Methods and Applications, Pineridge Press, Swansea, UK.

    Google Scholar 

  • Palmer, A.C. and Rice, J.R. (1973). The growth of slip surface in the progressive failure of OC clay. Proceedings of the Royal Society of London A332, 527–548.

    Article  ADS  Google Scholar 

  • Rice, J. (1968). A path independent integral and the approximation of strain concentration by notches and cracks. Journal of Applied Mechanics, Transaction of ASME 35, 379–386.

    Article  ADS  Google Scholar 

  • Rizkallah, J. (1977). Stress-strain behavior of fissured stiff clays. 9th International Conference on Soil Mechanics and Foundations 1, 267–270.

    Google Scholar 

  • Saada, A.S., Chudnovsky, A. and Kennedy, M.R. (1985). A fracture mechanics study of stiff clays. Proceedings of the 11th International Conference in Soil Mechanics and Foundations 2, 637–640.

    Google Scholar 

  • Saouma, V., Broz, J.J. and Brühwiler, E. (1991). Effect of aggregate and specimen size on fracture properties of dam concrete. Journal of Materials in Civil Engineering, ASCE 3(3), 204–218.

    Article  Google Scholar 

  • Shah, S.P., Swartz, S.E. and Ouyang, C.-S. (1995). Fracture Mechanics of Concrete, John Wiley and Sons, New York.

    Google Scholar 

  • Shih, C.F., de Lorenzi, H.G. and German, M.D. (1976). Crack extension modeling with singular quadratic isoparametric elements. International Journal of Fracture 12, 647–651.

    Google Scholar 

  • Sih, G.C. (1973). Hand Book of Stress-Intensity Factors for Researchers and Engineers, Institute of Fracture and Solid Mechanics, Lehigh University, Bethlehem, Pa.

    Google Scholar 

  • Sih, G.C. (1974). Strain energy factors applied to mixed mode crack problems. International Journal of Fracture 10, 305–000.

    Article  Google Scholar 

  • Sih, G.C., Paris, P.C. and Erdogan, F. (1962). Crack-tip intensity factors for plane extension and plate bending problems. Journal of Applied Mechanics, Transaction of ASME 29, 306–312.

    Article  ADS  Google Scholar 

  • Sih, G.C., Paris P.C. and Irwin G.R. (1965). On cracks in rectilinearly anisotropic bodies. International Journal of Fracture Mechanics 1(3), 189–203.

    Article  Google Scholar 

  • Sih, G.C. and Liebowitz, H. (1968). Mathematical theories of brittle fracture. Fracture an Advanced Treatise (Edited by H. Liebowitz) 2, 68–188.

    Google Scholar 

  • Simons, N.E. (1967). Discussion on shear strength of stiff clay. Proceedings of the Geotechnical Conference 2, 159–160.

    Google Scholar 

  • Sitar, N., Clough, G.W. and Bachus, R. (1980). Behavior of Weakly Cemented Soil Slopes under Static and Seismic Loading Conditions, final report prepared for the United States Geological Survey, Department of Interior. (June).

    Google Scholar 

  • Skempton, A.W. (1964). Long-term stability of clay slopes. Géotechnique 14, 77–101.

    Article  Google Scholar 

  • Skempton, A.W. (1966). Some observations on tectonic shear zones. Proceedings of 1st International Congress on Rock Mechanics, Lisbon, Portugal, 329–335.

    Google Scholar 

  • Standard Test Method for Plane Strain Fracture Toughness of Metallic Materials, ASTM Designation E399–74, Part 10, ASTM Annual Standards.

    Google Scholar 

  • Sture, S., Swanson, R., Al-Shibli, K., Jeremic, B. and Zhang, R. (1994). Mechanics of Granular Materials: Experiments, University of Colorado Research Report, NASA No. NASE-38779, August, 305.

    Google Scholar 

  • Taylor, D.W. (1948). Fundamentals of Soil Mechanics, John Wiley and Sons.

    Book  Google Scholar 

  • Terzaghi, K. (1936). Stability of slopes of natural clay. Proceedings of 1st International Conference of Soil Mechanics and Foundations 1(G-7), 161–165.

    Google Scholar 

  • Tracey, D.M. (1977). Discussion - On the use of isoparametric finite elements in linear fracture mechanics - R.S. Barsoum. International Journal for Numerical Methods in Engineering 11, 401–402.

    Article  ADS  Google Scholar 

  • Vallejo, L.E. (1985). Fissure interaction and progressive failure of slopes. Proceedings of 11th International Conference of Soil Mechanics and Foundations, San Francisco 4, 2353–2356.

    Google Scholar 

  • Vallejo, L.E. (1986). Mechanics of crack propagation in stiff clays. Proceedings of ASCE Specialty Conference (Geotechnical Aspects of Stiff and Hard Clays), Seattle, 14–27.

    Google Scholar 

  • Vallejo, L.E. (1987). The influence of fissures in stiff clay subjected to direct shear. Géotechnique 37(1), 69–82.

    Article  Google Scholar 

  • Vallejo, L.E. (1989). Fissure parameters in stiff clays under compression. Journal of Geotechnical Engineering, ASCE 115(9), 1303–1317.

    Article  Google Scholar 

  • Westergaard, H.M. (1939). Bearing pressure and cracks. Journal of Applied Mechanics, Transaction of ASME 61, A49–A53.

    Google Scholar 

  • Williams, M.L. (1957). On the stress distribution at the base of a stationary crack. Journal of Applied Mechanics, Transaction of ASME 24(109), 109–114.

    MATH  Google Scholar 

  • Wroth, C.P. (1986). Personal communication with Stein Sture.

    Google Scholar 

  • Zienkiewicz, O.C. and Taylor, R.L. (1989). The finite element method, Vol. 1: Basic Formulations and Linear Problems, McGraw Hill, London (4th edn).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Sture, S., Alqasabi, A., Ayari, M. (1999). Fracture and size effect characters of cemented sand. In: Bažant, Z.P., Rajapakse, Y.D.S. (eds) Fracture Scaling. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4659-3_23

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-4659-3_23

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5965-7

  • Online ISBN: 978-94-011-4659-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics