## A micromechanical analysis of damage propagation in fluid-saturated cracked media.(English)Zbl 1177.74356

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.

### 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
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