Dormieux, Luc; Kondo, Djimedo; Ulm, Franz-Josef A micromechanical analysis of damage propagation in fluid-saturated cracked media. (English) Zbl 1177.74356 C. R., Méc., Acad. Sci. Paris 334, No. 7, 440-446 (2006). Summary: We first revisit the well known framework of Linear Elastic Fracture Mechanics (LEFM) in the case of a fluid-saturated crack. We next consider a r.e.v. of cracked medium comprising a family of cracks characterized by the corresponding crack density parameter \(\varepsilon\). Generalizing the classical energy approach of LEFM, the proposed damage criterion is written on the thermodynamic force associated with \(\varepsilon\), which is estimated by means of standard homogenization schemes. This criterion proves to involve a macroscopic effective strain tensor, or alternatively the Terzaghi effective stress tensor. The stability of damage propagation is discussed for various homogenization schemes. A comparison with experimental results is presented in the case of a uniaxial tensile test on concrete. Cited in 4 Documents MSC: 74R99 Fracture and damage 74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) 74Q10 Homogenization and oscillations in dynamical problems of solid mechanics 76S05 Flows in porous media; filtration; seepage PDF BibTeX XML Cite \textit{L. Dormieux} et al., C. R., Méc., Acad. Sci. Paris 334, No. 7, 440--446 (2006; Zbl 1177.74356) Full Text: DOI