Coupled damage tensors and weakest link theory for the description of crack induced anisotropy in concrete

Crack induced anisotropy in concrete is modeled within the general framework of damage mechanics. The damage state, formulated by using the effective stresses, is described by two second order tensors for direct and for induced cracks, respectively. These variables are deduced from different causes of deterioration by the generalized weakest link theory. The major contributions of this paper are the development of a failure criterion in multiaxial compression loading, and the definition of a projection method for assessing the effects of an initial oriented damage in any loading direction. The model is applied to the numerical analysis of concrete structures and the results are compared to available experimental data.

[1]  J. Mazars.  APPLICATION DE LA MECANIQUE DE L'ENDOMMAGEMENT AU COMPORTEMENT NON LINEAIRE ET A LA RUPTURE DU BETON DE STRUCTURE , 1984 .

[2]  D. Evelyne.  Thèse de doctorat d'Etat , 1988 .

[3]  R. Borst,et al.  2-D Representation of 3-D Limit Surfaces , 1986 .

[4]  M. B. Nooru-Mohamed.  Mixed-mode fracture of concrete : An experimental approach , 1992 .

[5]  Egidio Rizzi,et al.  On the formulation of anisotropic elastic degradation.: II. Generalized pseudo-Rankine model for tensile damage , 2001 .

[6]  Eric Bourdarot,et al.  Poro-Damage Approach Applied to Hydro-Fracture Analysis of Concrete , 2000 .

[7]  A. Hillerborg,et al.  Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements , 1976 .

[8]  Qi-Chang He,et al.  A more fundamental approach to damaged elastic stress-strain relations , 1995 .

[9]  Z. Bažant,et al.  Nonlocal damage theory , 1987 .

[10]  Gilles Pijaudier-Cabot,et al.  Measurement of Characteristic Length of Nonlocal Continuum , 1989 .

[11]  Jiann-Wen Ju,et al.  ISOTROPIC AND ANISOTROPIC DAMAGE VARIABLES IN CONTINUUM DAMAGE MECHANICS , 1990 .

[12]  W. Weibull.  A statistical theory of the strength of materials , 1939 .

[13]  J. M. Reynouard,et al.  Mixed mode fracture in plain and reinforced concrete: some results on benchmark tests , 2000 .

[14]  F. Sidoroff,et al.  Damage Induced Elastic Anisotropy , 1982 .

[15]  J. Mazars,et al.  The unilateral behaviour of damaged concrete , 1990 .

[16]  Gilles Pijaudier-Cabot,et al.  Continuum damage modelling: Approximation of crack induced anisotropy , 1997 .

[17]  J. Lemaitre,et al.  Mécanique des matériaux solides , 1996 .