Homogenization of diffusion–deformation in dual-porous medium with discontinuity interfaces

International audienceModels of homogenized fluid-saturated dual-porous media with weak, or strong discontinuity interfaces (resembling fissures) are derived using the periodic unfolding method. Stress discontinuities at the interfaces are admitted, requesting further restrictions on the applied external forces. The limit models, obtained by a rigorous asymptotic analysis, reflect some non-local effects inherited from the microstructural interactions. In view of obtaining the a priori estimates, standard approaches based on smooth extensions, well fitted for perforated or high-contrast media, cannot be adopted for fissured domains. Therefore, a new approach is developed which enables to control the norm of some " off-diagonal " terms which in the model equations are generated by the interfaces and are not involved in the energy-related expressions