A multiscale modeling of damage and time‐dependent behavior of cohesive rocks

The present paper deals with a micromechanical approach to modeling the time-dependent mechanical behavior of a class of cohesive geomaterials. The considered material is Callovo-Oxfordian argillite, which is mainly composed of three constituents: an elastoviscoplastic clay matrix, elastic quartz minerals, and elastic damaged calcite grains. The macroscopic constitutive law is obtained by adapting the incremental method proposed by Hill (J. Mech. Phys. Solids 1965; 13:89-101). Its unified formulation allows a description of not only the time-dependent behavior of the argillite but also its elastoplastic damage response. The developed model is first validated by comparison with finite element solutions and then it is applied to the prediction of argillites' macroscopic responses in connection with their mineralogical compositions. The validity of the model is checked through comparisons between the model's predictions and experimental data.

[1]  André Zaoui,et al.  An extension of the self-consistent scheme to plastically-flowing polycrystals , 1978 .

[2]  F. Cormery,et al.  An alternative 3D model for damage induced anisotropy and unilateral effect in microcracked materials , 2003 .

[3]  Pedro Ponte Castañeda.  The effective mechanical properties of nonlinear isotropic composites , 1991 .

[4]  Jean-Louis Chaboche,et al.  On the capabilities of mean-field approaches for the description of plasticity in metal matrix composites , 2005 .

[5]  Jian-Fu Shao,et al.  Modeling of elastoplastic damage behavior of a claystone , 2003 .

[6]  J. Shao,et al.  A micromechanical model of elastoplastic and damage behavior of a cohesive geomaterial , 2008 .

[7]  Amine Ouaar,et al.  Homogenization of two-phase elasto-plastic composite materials and structures: Study of tangent operators, cyclic plasticity and numerical algorithms , 2003 .

[8]  R. Cabrillac,et al.  Poroplastic damage model for claystones , 2004 .

[9]  David R Hayhurst,et al.  Continuum damage mechanics modelling of circumferentially notched tension bars undergoing tertiary creep with physically-based constitutive equations , 1994 .

[10]  Tungyang Chen,et al.  On diagonal and elastic symmetry of the approximate effective stiffness tensor of heterogeneous media , 1991 .

[11]  B. Budiansky,et al.  Elastic moduli of a cracked solid , 1976 .

[12]  Qi-Chang He,et al.  Conewise linear elastic materials , 1994 .

[13]  J. D. Eshelby.  The determination of the elastic field of an ellipsoidal inclusion, and related problems , 1957, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[14]  G. P. Tandon,et al.  A Theory of Particle-Reinforced Plasticity , 1988 .

[15]  Rodney Hill,et al.  Continuum micro-mechanics of elastoplastic polycrystals , 1965 .

[16]  J. Willis.  The Structure of Overall Constitutive Relations for a Class of Nonlinear Composites , 1989 .

[17]  Piotr Perzyna,et al.  The constitutive equations for rate sensitive plastic materials , 1963 .

[18]  K. Tanaka,et al.  Average stress in matrix and average elastic energy of materials with misfitting inclusions , 1973 .

[19]  Jean-Jacques Marigo,et al.  MODELLING OF BRITTLE AND FATIGUE DAMAGE FOR ELASTIC MATERIAL BY GROWTH OF MICROVOIDS , 1985 .

[20]  D. C. Drucker,et al.  Soil mechanics and plastic analysis or limit design , 1952 .

[21]  Luc Dormieux,et al.  Micromechanical Analysis of Anisotropic Damage in Brittle Materials , 2002 .

[22]  J. Willis,et al.  The effect of spatial distribution on the effective behavior of composite materials and cracked media , 1995 .

[23]  J. Ju.  Consistent Tangent Moduli for a Class of Viscoplasticity , 1990 .