TECHNICAL PAPERS
May 21, 2011

Investigation of Fracture Behavior of Heterogeneous Infrastructure Materials with Extended-Finite-Element Method and Image Analysis

Publication: Journal of Materials in Civil Engineering
Volume 23, Issue 12

Abstract

Infrastructure materials are essential components of the nation’s infrastructure and transportation systems. Deteriorating infrastructures require the development of computational tools to predict fracture behavior. The extended-finite-element method (XFEM) has been recently developed to eliminate remesh efforts by allowing crack propagation within continuous elements. The object of this study is to employ XFEM and image analysis techniques to numerically investigate fracture behavior within infrastructure materials. The XFEM was addressed with a discontinuous crack and inclusion enrichment function with the level-set method. The crack growth and stress intensity factors were also formulated. An extended-finite-element fracture model (XFE-FM) was developed with the MATLAB program for predicting fracture behavior with single-edge-notched beam (SEB) and split tensile (ST) tests. The developed XFE-FM was first validated with SEB testing on a homogeneous sample. In order to capture the real material microstructure, the digital samples of asphalt concrete and concrete specimens were generated with imaging processing and ellipse-fitting techniques. The predicted crack propagation with XFE-FM simulation on digital samples was compared with the fracture pattern of lab-tested specimens. The comparison results on open-mode middle-notched and mixed-mode offset-notched SEB and ST tests indicate that the developed XFE-FM has the ability to accurately predict fracture behavior within heterogeneous infrastructure materials.

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Acknowledgments

The support of this research by the National Science Foundation under grants NSF0900015, NSF0900582, and NSF0701264 is gratefully appreciated.

References

Abdelaziz, Y., and Hamouine, A. (2008). “A survey of the extended finite element.” Comput. Sci., 86(11–12), 1141–1151.
Anderson, T. L. (1995). Fracture mechanics: Fundamentals and applications, 2nd Ed., CRC Press, Boca Raton, FL.
Bazant, Z. P., and Pijaudier-Cabot, G. (1988). “Nonlocal continuum damage, localization instability and convergence.” J. Appl. Mech., 55(2), 287–293.
Belytschko, T., and Black, T. (1999). “Elastic crack growth in finite elements with minimal remeshing.” Int. J. Numer. Methods Eng., 45(5), 601–620.
Belytschko, T., Lu, Y. Y., and Gu, L. (1994). “Element-free Galerkin methods.” Int. J. Numer. Methods Eng., 37(2), 229–256.
Cruse, T. (1988). Boundary element analysis in computational fracture mechanics, Kluwer, Dordrecht.
Dai, Q. (2011a). “Three-dimensional micromechanical finite-element network model for elastic damage behavior of idealized stone-based composite materials.” J. Eng. Mech., 137(6), 410–421.
Dai, Q. (2011b). “Two-and three-dimensional micromechanical viscoelastic finite element modeling of stone-based materials with X-ray computed tomography images.” Constr. Build. Mater., 25(2), 1102–1114.
Dai, Q., and Ng, K. (2010). “An extended finite element model for characterization of concrete fracture properties with compact tension tests.” Pavements and materials: Testing and modeling in multiple length scales, ASCE, Reston, VA.
Dai, Q., Sadd, M. H., Parameswaran, V., and Shukla, A. (2005). “Prediction of damage behaviors in asphalt materials using a finite element micromechanical model and image analysis.” J. Eng. Mech., 131(7), 668–677.
Dai, Q., Sadd, M. H., and You, Z. (2006). “A micromechanical finite element model for linear and damage-coupled viscoelastic behavior of asphalt mixture.” Int. J. Numer. Anal. Methods Geomech., 30(11), 1135–1158.
Dai, Q., and You, Z. (2007). “Prediction of creep stiffness of asphalt mixture with micromechanical finite-element and discrete-element models.” J. Eng. Mech., 133(2), 163–173.
DIPimage and DIPlib [Computer software]. 〈www.diplib.org〉.
Dowling, N. E. (2007). Mechanics behavior of materials: Engineering methods for deformation, fracture, and fatigue, 3rd Ed., Pearson, Saddle River, NJ.
Espinosa, H. D., and Zavattieri, P. D. (2003). “A grain level model for the study of failure initiation and evolution in polycrystalline brittle materials. Part I: Theory and numerical implementation.” Mech. Mater., 35(3–6), 333–364.
Fan, S. C., Liu, X., and Lee, C. K. (2004). “Enriched partition-of-unity finite element method for stress intensity factors at crack tips.” Comput. Sci., 82(4–5), 445–461.
Jeon, I., Kang, K.-J., and Im, S. (2008). “Stress intensities at the triple junction of a multilevel thin film package.” Microelectron. Reliab., 48(5), 749–756.
Marc, D. (2007). “A study of the representation of cracks with level sets.” Int. J. Numer. Methods Eng., 70(11), 1261–1302.
Mehta, P. K., and Monteiro, P. J. M. (2006). Concrete: Microstructure, properties, and materials, 3rd Ed., McGraw-Hill, New York.
Melenk, J. M., and Babuska, I. (1996). “The partition of unity finite element method: Basic theory and applications.” Comput. Methods Appl. Mech. Eng., 139(1–4), 289–314.
Moës, N., Cloirec, M., Cartraud, P., and Remacle, J. F. (2003). “A computational approach to handle complex microstructure geometries.” Comput. Methods Appl. Mech. Eng., 192(28–30), 3163–3177.
Moës, N., Dolbow, J., and Belytschko, T. (1999). “A finite element method for crack growth without remeshing.” Int. J. Numer. Methods Eng., 46(1), 131–150.
Ng, K., and Dai, Q. (2011). “A tailored extended finite element model for predicting crack propagation and fracture properties within idealized and digital cementitious material samples.” J. Eng. Mech., (Jul. 30, 2011).
Ortiz, M., and Pandolfi, A. (1999). “Finite-deformation irreversible cohesive elements for three-dimensional crack-propagation analysis.” Int. J. Numer. Methods Eng., 44(9), 1267–1282.
Osher, S., and Sethian, J. A. (1988). “Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations.” J. Comput. Phys., 79(1), 12–49.
Pais, M. J., and Kim, N. H. (2009). “Modeling failure in composite materials with the extended finite element and level set methods.” 50th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conf. (AIAA 2009–2393).
Park, K., Paulino, G. H., and Roesler, J. (2010). “Cohesive fracture model for functionally graded fiber reinforced concrete.” Cem. Concr. Res., 40(6), 956–965.
Pilu, M., Fitzgibbon, A., and Fisher, R. (1996). “Ellipse-specific direct least-square fitting.” IEEE Int. Conf. on Image Processing, Lausanne.
Sadd, M. H., Dai, Q., Parameswaran, V., and Shukla, A. (2004a). “Microstructural simulation of asphalt materials: Modeling and experimental studies.” J. Mater. Civ. Eng., 16(2), 107–115.
Sadd, M. H., Dai, Q., Parameswaran, V., and Shukla, A. (2003b). “Simulation of asphalt materials using a finite element micromechanical model with damage mechanics.” Transportation Research Record 1832, Transportation Research Board, Washington, DC.
Song, S. H., Paulino, G. H., and Buttlar, W. G. (2006). “A bilinear cohesive zone model tailored for fracture of asphalt concrete considering viscoelastic bulk material.” Eng. Fract. Mech., 73(18), 2829–2848.
Stolarska, M., Chopp, D. L., Moës, N., and Belytschko, T. (2001). “Modelling crack growth by level sets in the extended finite element method.” Int. J. Numer. Methods Eng., 51(8), 943–960.
Sukumar, N., Chopp, D. L., Moës, N., and Belytschko, T. (2001). “Modeling holes and inclusions by level sets in the extended finite-element method.” Comput. Methods Appl. Mech. Eng., 190(46–47), 6183–6200.
van Mier, J. G. M. (2008). “Framework for a generalized four-stage fracture model of cement-based materials.” Eng. Fract. Mech., 75(18), 5072–5086.
Wriggers, P., and Moftah, S. O. (2006). “Mesoscale models for concrete: Homogenisation and damage behaviour.” Finite Elem. Anal. Des., 42(7), 623–636.
Xu, X. P., and Needleman, A. (1994). “Numerical simulations of fast crack growth in brittle solids.” J. Mech. Phys. Solids, 42(9), 1397–1434.

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Go to Journal of Materials in Civil Engineering
Journal of Materials in Civil Engineering
Volume 23Issue 12December 2011
Pages: 1662 - 1671

History

Received: Sep 17, 2010
Accepted: May 19, 2011
Published online: May 21, 2011
Published in print: Dec 1, 2011

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Graduate Research Assistant, Dept. of Civil and Environmental Engineering, Michigan Technological Univ., Houghton, MI 49931. E-mail: [email protected]
Qingli Dai, Ph.D., A.M.ASCE [email protected]
Assistant Professor, Dept. of Civil and Environmental Engineering, Michigan Technological Univ., Houghton, MI 49931 (corresponding author). E-mail: [email protected]

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