TECHNICAL PAPERS
Nov 20, 2010

Three-Dimensional Micromechanical Finite-Element Network Model for Elastic Damage Behavior of Idealized Stone-Based Composite Materials

Publication: Journal of Engineering Mechanics
Volume 137, Issue 6

Abstract

This paper presents a three-dimensional (3D) micromechanical finite-element (FE) network model for predicting elastic damage behavior of the idealized stone-based materials. Stone-based composite materials have multiphase structures: an aggregate (or stone) skeleton, a binding medium, fillers, and air voids. Numerical simulation of the micromechanical behavior of the idealized stone-based materials was accomplished by using a microframe element network model that incorporated the mechanical load transfer between adjacent particles. The elastic stiffness matrix of this special element was obtained from an approximate elastic stress-strain analysis of straight cement between particle pairs. A damage-coupled microframe element was then formulated with bilinear damage laws, including elastic and softening behavior based on the equivalent fracture release energy. Indirect tension and compression simulations were conducted with developed FE models on the idealized digital samples of the stone-based materials. These simulations predicted the internal microdamage distribution and global fracture behavior of these samples, which qualitatively agree with the laboratory observations. The results indicate that the developed FE models have the capability to predict the typical loading-related damage behavior observed from the stone-based materials.

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Acknowledgments

The support of this research by the National Science Foundation under grants NSF0701264, NSF0900015, and NSF0900582 is gratefully appreciated. The author would like to acknowledge the discussions with Dr. Martin H. Sadd at the University of Rhode Island on the formulation of the elastic stiffness matrix for 3D microframe elements. The author is also thankful for the help of Dr. Zhanping You and Mr. Shu Wei Goh at Michigan Technological University on the lab testing of asphalt mastic and asphalt mixture specimens.

References

ABAQUS Version 6.5 [Computer software]. Pawtucket, RI, Hibitt, Karlsson, and Sorenson.
Adhikari, S., and You, Z. (2008). “3D microstructural models for asphalt mixtures using X-ray computed tomography images.” Int. J. Pavement Res. Technol., 3(1), 94–99.
Al-Qadi, I. L., Elseifi, M., and Leonard, D. (2003). “Development of an overlay design model for reflective cracking with and without steel reinforcing nettings.” J. Assoc. Asphalt Paving Technol., 72, 388–423.
Bahia, H., Zhai, H., Bonnetti, K., and Kose, S. (1999). “Nonlinear viscoelastic and fatigue properties of asphalt binders.” J. Assoc. Asphalt Paving Technol., 68, 1–34.
Bahuguna, S., Panoskaltsis, V. P., and Papoulia, K. D. (2006). “Identification and modeling of permanent deformations of asphalt concrete.” J. Eng. Mech., 132(3), 231–239.
Bazant, Z. P., Tabbara, M. R., Kazemi, Y., and Pijaudier-Cabot, G. (1990). “Random particle simulation of damage and fracture in particulate or fiber-reinforced composites.” Damage Mechanics in Engineering Materials, Trans. ASME, AMD 109, 41–55.
Budhu, M., Ramakrishnan, S., and Frantziskonis, G. (1997). “Modeling of granular materials: A numerical model using lattices, Northwestern Univ.” Mechanics of Deformation and Flow of Particulate Materials, Proc., McNu Conf., Trans., C. S. Chang, A. Misra, R. Y. Liang, and M. Babic, eds., ASCE, Reston, VA.
Buttlar, W. G., Paulino, G. H., and Song, S. H. (2006). “Application of graded finite elements for asphalt pavements.” J. Eng. Mech., 132(3), 240–249.
Buttlar, W. G., and You, Z. (2001). “Discrete-element modeling of asphalt concrete: A micro-fabric approach.” Transportation Research Record 1757, Transportation Research Board, Washington, DC, 111–118.
Chaboche, J. L. (1988). “Continuum damage mechanics: Part I—General concepts.” J. Appl. Mech., 55(1), 59–64.
Chang, C. S., Shi, Q. S., and Zhu, H. (1999). “Micromechanical modeling for elastic moduli of bonded granules.” J. Eng. Mech., 6, 514–520.
Chang, G. K., and Meegoda, J. N. (1997). “Micromechanical simulation of hot mixture asphalt.” J. Eng. Mech., 123(5), 495–503.
Crisfield, M. A. (1981). “Fast incremental/iterative solution procedure that handles snap-through.” Comput. Struct., 13(1–3), 55–62.
Dai, Q. (2010). “Micromechanical viscoelasto-plastic models and finite-element implementation for rate-independent and rate-dependent permanent deformation of stone-based materials.” Int. J. Numer. Anal. Methods Geomech., 34(13), 1321–1345.
Dai, Q. (2011). “Two- and three-dimensional micromechanical viscoelastic finite-element modeling of stone-based materials with X-ray computed tomography images.” Constr. Build. Mater., 25, 1102–1114.
Dai, Q., and Sadd, M. H. (2004). “Parametric model study of microstructure effects on damage behavior of asphalt samples.” Int. J. Pavement Eng., 5(1), 19–30.
Dai, Q., Sadd, M. H., Parameswaran, V., and Shukla, A. (2005). “Prediction of damage behaviors in asphalt materials using a micromechanical finite-element 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. (2007a). “Micromechanical finite-element framework for predicting viscoelastic properties of heterogeneous asphalt mixtures.” Mater. Struct., 41(6), 1025–1037.
Dai, Q., and You, Z. (2007b). “Prediction of creep stiffness of asphalt mixture with micromechanical finite-element and discrete-element methods.” J. Eng. Mech., 133(2), 163–173.
Dessouky, S., Masad, E., Little, D., and Zbib, H. (2006). “Finite-element analysis of hot mix asphalt microstructure using effective local material properties and strain gradient elasticity.” J. Eng. Mech., 132(2), 158–171.
Dvorkin, J., Nur, A., and Yin, H. (1994). “Effective properties of cemented granular materials.” Mech. Mater., 18(4), 351–366.
Elseifi, M. A., Al-Qadi, I. L., and Yoo, P. J. (2006). “Viscoelastic modeling and field validation of flexible pavements.” J. Eng. Mech., 132(2), 172–178.
Guddati, M. N., Feng, Z., and Kim, Y. R. (2002). “Towards a micromechanics-based procedure to characterize fatigue performance of asphalt concrete.” Transportation Research Record 1789, Transportation Research Board, Washington, DC.
Ha, K., and Schapery, R. A. (1998). “Three-dimensional viscoelastic constitutive model for particulate composites with growing damage and its experimental validation.” Int. J. Solids Struct., 35(26–27), 3497–3517.
Hinterhoelzl, R. M., and Schapery, R. A. (2004). “FEM implementation of a three-dimensional viscoelastic constitutive model for particulate composites with damage growth.” Mech. Time-Depend. Mater., 8(1), 65–94.
Ishikawa, M., Yoshikawa, H., and Tanabe, T. (1986). “The constitutive model in terms of damage tensor.” Proc., Finite-Element Analysis of Reinforced Concrete Structures, ASCE, New York, 93–103.
Kachanov, M. (1987). “On modeling of anisotropic damage in elastic-brittle materials—A brief review.” Damage mechanics in composite, A. S. D. Wang and G. K. Haritos, eds., ASME, Washington, DC, 99–105.
Kim, H., Wagoner, M., and Buttlar, W. (2008a). “Micromechanical fracture modeling of asphalt concrete using a single-edge notched beam test.” Mater. Struct., 42(5), 677–689.
Kim, H., Wagoner, M. P., and Buttlar, W. G. (2008b). “Simulation of fracture behavior in asphalt concrete using a heterogeneous cohesive zone discrete-element model.” J. Mater. Civ. Eng., 20(8), 552–563.
Kim, Y.-R., Allen, D. H., and Little, D. N. (2005). “Damage-induced modeling of asphalt mixtures through computational micromechanics and cohesive zone fracture.” J. Mater. Civ. Eng., 17(5), 477–484.
Masad, E. (2004). “X-ray computed tomography of aggregates and asphalt mixes.” Mater. Eval., 62(7), 775–783.
Mora, P. (1992). “A lattice solid model for rock rheology and tectonics.” The seismic simulation project tech. rep. 4, Institut de Physique du Globe, Paris, 3–28.
Novak, M., Birgisson, B., and Roque, R. (2003). “Tire contact stresses and their effects on instability rutting of asphalt mixture pavements: Three-dimensional finite-element analysis.” Transportation Research Record 1853, Transportation Research Board, Washington, DC, 150–156.
Panneerselvam, D., and Panoskaltsis, V. P. (2005). “Numerical implementation of a hyperelastic-viscoplastic damage model for asphalt concrete materials and pavements.” Asphalt concrete, simulation, modeling, and experimental characterization, E. Masad, V. P. Panoskaltsis, and L. B. Wang, eds., ASCE, Reston, VA, 61–79.
Papagiannakis, A. T., Abbas, A., and Masad, E. (2002). “Micromechanical analysis of viscoelastic properties of asphalt concretes.” Transportation Research Record 1789, Transportation Research Board, Washington, DC, 113–120.
Park, S. W., Kim, Y. R., and Schapery, R. A. (1996). “Viscoelastic continuum damage model and its application to uniaxial behavior of asphalt concrete.” Mech. Mater., 24(4), 241–255.
Park, S. W., and Schapery, R. A. (1997). “Viscoelastic constitutive model for particulate composites with growing damage.” Int. J. Solids Struct., 34(8), 931–947.
Sadd, M. H., Dai, Q., and Parameswaran, V. (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. (2004b). “Simulation of asphalt materials using finite-element micromechanical model with damage mechanics.” Transportation Research Record 1832, Transportation Research Board, Washington, DC, 86–95.
Sadd, M. H., Qiu, L., Boardman, W. G., and Shukla, A. (1992). “Modeling wave propagation in granular media using elastic networks.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 29(2), 161–170.
Sadd, M. H., Shukla, A., Parameswaran, V., and Dai, Q. (2002). “Effect of microstructure on the static and dynamic behavior of recycled asphalt material.” Project No. 536138, Univ. of Rhode Island Transportation Center, Kingston, RI.
Schapery, R. A. (1999). “Nonlinear viscoelastic and viscoplastic constitutive equations with growing damage.” Int. J. Fract., 97(1–4), 33–66.
Schapery, R. A. (2002). “Homogenized constitutive equations for linear viscoelastic unidirectional composites with growing transverse cracks.” Mech. Time-Depend. Mater., 6(2), 101–131.
Schapery, R. A., and Sicking, S. L. (1995). “On nonlinear constitutive equations for elastic and viscoelastic composites with growing damage.” Int. J. Solids Struct., 34(8), 931–947.
Simo, J. C., and Ju, J. W. (1987). “Strain- and stress-based continuum damage models—I. Formulation.” Int. J. Solids Struct., 23(7), 821–840.
Song, S. H., Paulino, G. H., and Buttlar, W. G. (2005). “Cohesive zone simulation of mode i and mixed-mode crack propagation in asphalt concrete.” Proc., Sessions of the Geo-Frontiers 2005 Congress: Advances in Pavement Engineering (GSP 130) ASCE, Reston, VA, 189–198.
Song, S. H., Paulino, G. H., and Buttlar, W. G. (2006a). “A bilinear cohesive zone model tailored for fracture of asphalt concrete considering viscoelastic bulk material.” Eng. Fract. Mech., 73(18), 2829–2848.
Song, S. H., Paulino, G. H., and Buttlar, W. G. (2006b). “Simulation of crack propagation in asphalt concrete using an intrinsic cohesive zone model.” J. Eng. Mech., 132(11), 1215–1223.
Trent, B. C., and Margolin, L. G. (1994). “Modeling fracture in cemented granular materials.” Geotechnical special publication, ASCE, Reston, VA, 54–69.
Ullidtz, P. (2001). “Distinct element method for study of failure in cohesive particulate media.” Transportation Research Record 1757, Transportation Research Board, Washington, DC, 127–133.
Wang, L., Paul, H., Harman, T., and D’Angelo, J. (2004). “Characterization of aggregates and asphalt concrete using X-ray computerized tomography.” J. Assoc. Asphalt Paving Technol., 73, 467–500.
You, Z., Adhikari, S., and Dai, Q. (2008a). “Three-dimensional discrete-element models for asphalt mixtures.” J. Eng. Mech., 134(12).
You, Z., Adhikari, S., and Kutay, M. E. (2008b). “Dynamic modulus simulation of the asphalt concrete using the X-ray computed tomography images.” Mater. Struct., 42(5), 617–630.
You, Z., and Buttlar, W. G. (2004). “Discrete-element modeling to predict the modulus of asphalt concrete mixtures.” J. Mater. Civ. Eng., 16(2), 140–146.
Zhu, H., Chang, C. S., and Rish, J. W., III. (1996a). “Normal and tangential compliance for conforming binder contact. I. Elastic binder.” Int. J. Solids Struct., 33(29), 4337–4349.
Zhu, H., Chang, C. S., and Rish, J. W., III. (1996b). “Normal and tangential compliance for conforming binder contact. II. Visco-elastic binder.” Int. J. Solids Struct., 33(29), 4351–4363.
Zhu, H., Rish, J. W., III, and Batra, S. (2001). “A constitutive study of two-phase materials part II. Maxwell binder.” Comput. Geotech., 28(5), 309–323.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 137Issue 6June 2011
Pages: 410 - 421

History

Received: Dec 3, 2008
Accepted: Oct 19, 2010
Published online: Nov 20, 2010
Published in print: Jun 1, 2011

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Qingli Dai, A.M.ASCE [email protected]
Assistant Professor, Dept. of Civil and Environmental Engineering, Michigan Technological Univ., 1400 Townsend Dr., Houghton, MI 49931-1295. E-mail: [email protected]

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