Technical Papers
Jul 31, 2012

Opening and Mixed-Mode Fracture Initiation in a Quasi-Brittle Material

Publication: Journal of Engineering Mechanics
Volume 139, Issue 2

Abstract

An electronic speckle pattern interferometry (ESPI) system, which delivers high-resolution displacement data from fringes that are formed by the subtraction of laser speckle patterns, was constructed to study fracture initiation in a quasi-brittle material. Mode I opening and Mixed-Mode I and II fracture experiments were performed with a homogeneous, fine-grained (0.1–0.8 mm grain size) sandstone using the three-point bending test. Specimens were notched at various lengths and positions of the beam edge to produce the desired loading condition, with KII/KI=0-13%. The experimental results indicate that the length of the localized damage zone at peak load for Mode I fracture is 6–7 mm, which is about 10 times the (largest) grain size. From the mixed-mode loading tests, the zone length at peak load increased to 10–12 mm, and the length was more or less constant for KII/KI=5-13%. ESPI also provided detailed information on the horizontal displacement profiles along the damage zone. For center notch specimens at peak load, the horizontal (opening) displacement at the notch tip was 40 μm, which can be interpreted as the critical opening displacement if the damage zone is fully formed at peak. For mixed-mode specimens, the critical horizontal displacement at peak load is 60–80 μm, but the vertical displacement is needed to resolve the critical opening and sliding components.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgment

Partial support for this study was provided by National Science Foundation Grant No. CMMI-0825454 and the MSES/Miles Kersten Chair.

References

Bažant, Z. P., and Pfeiffer, P. A. (1986). “Shear fracture tests of concrete.” Mater. Struct., 19(2), 111–121.
Bažant, Z. P., and Planas, J. (1998). Fracture and size effect in concrete and other quasibrittle materials, CRC Press, Boca Raton, FL.
Bažant, Z. P., and Yu, Q. (2011). “Size-effect testing of cohesive fracture parameters and nonuniqueness of work-of-fracture method.” J. Eng. Mech., 137(8), 580–588.
Biolzi, L. (1990). “Mixed mode fracture in concrete beams.” Eng. Fract. Mech., 35(1–3), 187–193.
Butters, J. N., and Leendertz, J. A. (1971). “Holographic and video techniques applied to engineering measurements.” J. Meas. Control, 4(12), 349–354.
Cloud, G. (1998). Optical methods of engineering analysis, Cambridge Univ. Press, New York.
di Prisco, M., Ferrara, L., Meftah, F., Pamin, J., de Borst, R., Mazars, J., and Reynouard, J. (2000). “Mixed-mode fracture in plain and reinforced concrete: Some results on benchmark tests.” Int. J. Fract., 103(2), 127–148.
Du, J. J., Kobayashi, A. S., and Hawkins, N. M. (1990). “An experimental-numerical analysis of fracture process zone in concrete fracture specimens.” Eng. Fract. Mech., 35(1–3), 15–27.
Gálvez, J. C., Cendón, D. A., and Planas, J. (2002). “Influence of shear parameters on mixed-mode fracture of concrete.” Int. J. Fract., 118(2), 163–189.
Goodman, J. W. (1976). “Some fundamental properties of speckle.” J. Opt. Soc. Am., 66(11), 1145–1150.
Goodman, J. W. (1984). “Statistical properties of laser speckle patterns.” Laser speckles and related phenomena, J. C. Dainty, ed., Springer, New York, 9–75.
He, S., Feng, Z., and Rowlands, R. E. (1997). “Fracture process zone analysis of concrete using moiré interferometry.” Exp. Mech., 37(3), 367–373.
Haggerty, M., Lin, Q., and Labuz, J. F. (2010). “Observing deformation and fracture of rock with speckle pattern.” Rock Mech. Rock Eng., 43(4), 417–426.
Hillerborg, A. (1985). “Numerical methods to simulate softening and fracture of concrete.” Fracture mechanics of concrete: Structural application and numerical calculation, G. C. Sih and A. DiTommaso, eds., Martinus Nijhoff Publishers, Dordrecht, Netherlands, 141–170.
Högberg, J. L. (2006). “Mixed mode cohesive law.” Int. J. Fract., 141(3–4), 549–559.
Ingraffea, A. R. (1981). “Mixed-mode fracture initiation in Indiana limestone and Westerly granite.” Proc., 22nd U.S. Symposium on Rock Mechanics, Cambridge, MA, 186–191.
Jenq, Y., and Shah, S. P. (1988). “Mixed-mode fracture of concrete.” Int. J. Fract., 38(2), 123–142.
Jones, R., and Wykes, C. (1989). Holographic and speckle interferometry, 2nd Ed., Cambridge University Press, New York.
Labuz, J. F., and Biolzi, L. (1998). “Characteristic strength of quasi-brittle materials.” Int. J. Solids Struct., 35(31–32), 4191–4203.
Labuz, J. F., Riedel, J. J., and Dai, S.-T. (2006). “Shear fracture in sandstone under plane-strain compression.” Eng. Fract. Mech., 73(6), 820–828.
Leendertz, J. A. (1970). “Interferometric displacement measurement on scattering surfaces utilizing speckle effect.” J. Phys. E Sci. Instrum., 3(3), 214–218.
Løkberg, O. J. (1989). “Electronic speckle pattern interferometry and its applications in rock mechanics.” Laser holography in geophysics, S. Takemoto and E. Horwood, eds., Wiley, New York, 168–198.
Macovski, A., Ramsey, S. D., and Scheafer, L. F. (1971). “Time-lapse interferometry and contouring using television system.” Appl. Opt., 10(12), 2722–2727.
Maji, A., and Wang, J. L. (1992). “Experimental study of fracture processes in rock.” Rock Mech. Rock Eng., 25(1), 25–47.
Ostanin, I. A., Mogilevskaya, S. G., Labuz, J. F., and Napier, J. (2011). “Complex variables BEM for elasticity problems with constant body force.” Eng. Anal. Bound. Elem., 35(4), 623–630.
Petzing, J. N., and Tyrer, J. R. (1998). “Recent developments and applications in electronic speckle pattern interferometry.” J. Strain Anal. Eng. Des., 33(2), 153–169.
Rastogi, P. K. (2001). “Measurement of static surface displacements, derivatives of displacements, and three-dimensional surface shapes: Examples of applications to non-destructive testing.” Digital speckle pattern interferometry and related techniques, P. K. Rastogi, ed., Wiley, Chichester, U.K.
Rigden, J. D., and Gordon, E. I. (1962). “The granularity of the scattered optical maser light.” Proc., IRE, Vol. 50, 2367–2368.
Shah, S. P. (1990). “Experimental methods for determining fracture process zone and fracture parameters.” Eng. Fract. Mech., 35(1–3), 3–14.
Shah, S. P., Swartz, S. E., and Ouyang, C. (1995). Fracture mechanics of concrete, Wiley, New York.
Swartz, S. E., Lu, L., Tang, L., and Refai, T. (1988). “Mode II fracture parameter estimates for concrete from beam specimens.” Exp. Mech., 28(2), 146–153.
van Mier, J. G. M. (1997). Fracture process of concrete, CRC Press, Boca Raton, FL.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 139Issue 2February 2013
Pages: 177 - 187

History

Received: Jul 21, 2011
Accepted: Jun 7, 2012
Published online: Jul 31, 2012
Published in print: Feb 1, 2013

Permissions

Request permissions for this article.

Authors

Affiliations

Postdoctoral Researcher, Dept. of Energy and Resources Engineering, College of Engineering, Peking Univ., Beijing 100871, P.R. China (corresponding author). E-mail: [email protected]
Luigi Biolzi
Professor, Dept. of Structural Engineering, Politecnico di Milano, 20133 Milan, Italy
Joseph F. Labuz, F.ASCE
Minnesota Surveyors and Engineers Society/Miles Kersten Professor, Dept. of Civil Engineering, Univ. of Minnesota, Minneapolis, MN 55455

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share