Advanced SearchSearch Tips
Cohesive Interface Model on Concrete Materials
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
Cohesive Interface Model on Concrete Materials
Rhee In-Kyu; Roh Young-Sook;
  PDF(new window)
The mechanical damage of concrete is normally attributed to the formation of microcracks and their propagation and coalescence into macroscopic cracks. This physical degradation is caused from progressive and hierarchical damage of the microstructure due to debonding and slip along bimaterial interfaces at the mesoscale. Their growth and coalescence leads to initiation of hairline discrete cracks at the mesoscale. Eventually, single or multiple major discrete cracks develop at the macroscale. In this paper, from this conceptual model of mechanical damage in concrete, the computational efforts were made in order to characterize physical cracks and how to quantify the damage of concrete materials within the laws of thermodynamics with the aid of interface element in traditional finite element methodology. One dimensional effective traction/jump constitutive interface law is introduced in order to accommodate the normal opening and tangential slips on the interfaces between different materials(adhesion) or similar materials(cohesion) in two and three dimensional problems. Mode I failure and mixed mode failure of various geometries and boundary conditions are discussed in the sense of crack propagation and their spent of fracture energy under monotonic displacement control.
crack;constitutive model;interface element;cohesion;fracture energy;
 Cited by
G. I., Barenblatt, 'The formation of equilibrium cracks during brittle fracture: General ideas and hypothesesaxially symmetric cracks,' Journal of Applied Mathematics and Mechanics, vol.23, 1959

G. Camacho and M. Ortiz, 'Computational modeling of impact damage in brittle materials,' International Journal of Solids and Structures, Vol.33, 1996, pp.2899-2938 crossref(new window)

D.S. Dugdale., 'Yielding of steel sheets containing slits,' Journal of the Mechanics and Physics of Solids, Vol.8, 1960

M. Elices, G.Y. Guinea, J. Gomez and J. Planas, 'The cohesive zone model: advantages, limitation and challenges,' Engineering Fracture Mechanics, Vol.69, 2002, pp.137-163 crossref(new window)

A. Hillerborg, M. Modeer, and P.E. Petersson, 'Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements,' Cements and Concrete Research, Vol.6, 1976, pp.773-782 crossref(new window)

J.-M. Honberg, Concrete joints, Mechanics of Geomaterial Interfaces, A.P.S. Selvadurai and M.J. Boulon(Eds), 1995

B. Karihaloo, Fracture mechanics and structural concrete, Concrete Design and Construction Series, UK, 1994

M. Kachanov, 'Effective elastic properties of cracked solids: Critical review of some basic concepts,' Appl. Mech. Rev., Vol. 45, No.8, 1992, pp.304-335 crossref(new window)

D. Kincaid and W. Cheney., Numerical analysis: Mathematics of scientific computing, Brooks/Cole, New York, 2002, pp.1-788

H.R. Lotfi and P.B. Shing, 'Interface model applied to fracture of masonary structures,' Journal of Structural Engineering, Vol. 120, 1994, pp.62-80

J.G.M. van Mier and M.R.A. van Vliet, 'Uniaxial tension test for the determination of fracture parameters of concrete: State-of-the-Arts,' Engineering Fracture Mechanics, Vol.69, 2000, pp.235-247

A Needleman, 'A continuum model for void nucleation by inclusion debonding,' Journal of Applied Mechanics, No.54, 1987, pp.525-531 crossref(new window)

D. Ngo and AC. Scordelis, 'Finite element analysis of reinforced concrete beams,' ACI journal, 1967, pp.152-163

J. Planas, M. Elices, G.Y. Guinea, F.J. Gomez, D.A. Cendon and I. Arbilla, 'Generalizations and specializations of cohesive crack models,' Engineering Fracture Mechanics, Vol.70, 2003, pp.1759-1776 crossref(new window)

A Griffith, 'Theory of rupture,' In Proc. 1st Int. Congress on Appl. Mech., Delft, The Netherlands, 1924, pp.55-63

I. Rhee and W. Kim, 'Analysis of shear behavior of lightweight reinforced concrete beam using interface elements,' Journal of Korean Society of Civil Engineers, In press, 2006

I. Rhee, H.U. Lee, I.S. Lee, and W. Kim, 'Failure analysis of reinforced concrete bridge column using interface elements,' I st International Conference on Advanced Nondestructive Evaluation, Jeju International Conference Center, Korea, Nov. 7th -9th 2005, 136pp

G. Ruiz, A. Pandolfi and M. Ortiz, 'Three dimensional cohesive modeling of dynamics mixed mode fracture,' International Journal for Numerical Metlwds in Engineering, Vol.52., No.1-2, 2001, pp.97-120 crossref(new window)

I. Scheider, Cohesive model for crack propagation analyses of structures with elastic-plastic material behaviors, GKSS Research Center, Geesthacht, WMS 2001, pp.1-41

J.C.J. Schellekens and R. de Borst, 'On the numerical integration of interface elements,' International Journal for Numerical Methods in Engineering, Vol.36, No.7, 1993, pp.43-66 crossref(new window)

M.G.A. Tijssens, On the cohesive surface methodology for fracture of brittle heterogeneous solids, Ph.D. thesis, Technische Universiteit Delft, 2001, pp.1-110

T. Stankowski, Numerical simulation of progressive failure in particle composites, Ph.D. thesis, University of Colorado at Boulder, 1990, pp1-118

V. Tvergaard, 'Cohesive zone representations of failure between elastic or rigid solids and ductile solids,' Engineering Fracture Mechanics, Vol.70, 2003, pp.1859-1868 crossref(new window)

K. Willam, I. Rhee, and Y. Xi, 'Thennal Degradation of Heterogeneous Concrete Materials,' Journal of Materials in Civil Engineering, ASCE, Vol. 17, 2005, pp.276-285 crossref(new window)

K. Willam, I. Rheem, and B. Shing, 'Interface damage model for thermomechanical degradation of heterogeneous materials,' Computer Methods in Applied Mechanics and Engineering, Vol.193, 2004, pp.3327-3350 crossref(new window)

K. Willam, T. Stankowski, K. Runesson, and S. Sture, 'Simulation issues of distributed and localized failure computations,' Proceedings on Cracking and Damage-Strain Localization and Size Effects, Mazars, J. and Bazant, Z. Eds., Elsevier Applied Sciences, London and New York, 1990, pp.363-378

K. Willam, 'Constitutive models for engineering materials,' Encyclopedia of Physical Science and Technology, Third Edition, Vol.3, Academic Press, 2002, pp.603-633

X-P. Xu and A. Needleman, 'Numerical simulations of fast crack growth in brittle solids', Journal of Mechanics and Physics for Solids, Vol.42, No.9, 1994, pp.1397-1434 crossref(new window)

NW-IALAD, Tg2: Continuum based material problems for dam concrete, European Research Network, 2004, website:

Department of Aerospace Engineering and Science, FEM-C++: A totally objected oriented program for finite element modeling, University of Colorado at Boulder, 2004, pp.1-200

K. Duan, X.Z. Hu and F.H. Wittmann, 'Boundary effect on specific fracture energy of concrete', Fracture Mechanics of Concrete Structures, Vol. 1, Conference Proceedings of FRAMCOS-5, Vail CO, USA 2004, pp.205-212