Micromechanical approach to the behavior of poroelastic materials

Effect of hydrostatic pressure on flow and deformation in highly reinforced particulate composites

“…We make this assumption despite the obvious differences that exist between solid and liquid matrices: with a solid matrix, relative particle sliding or rotation become more difficult and elevated tensile stress can be transferred across the interface, potentially breaking the particles in tension or shear. Also, the basic matrix rheological law differs (plastic versus Newtonian); however, under hydrostatic compression, with a ductile matrix and at the limited strain levels explored here, one may legitimately anticipate that particle trajectories and contact histories will be relatively similar, and that assumptions and conclusions derived from homogenization theory [73]- [74] will apply also if the matrix is a ductile solid instead of a newtonian fluid.…”

“…Equation (4) was also formulated independently by Geertsma [69] and Skempton [70], on empirical grounds. Nur and Byerlee [68] and more recent theoretical studies based on classical homogenization schemes [71]- [73] have proven Eq. (4) to be theoretically exact.…”

A two scale anisotropic damage model accounting for initial stresses in microcracked materials

“…It is readily seen that the dilute scheme-based estimate of the energy potential, given by (8), takes the form:…”

“…Before presenting the specific developments carried out in the present study, it is convenient to note that although the use of the concept of prestress in the context of cracks-induced damage modeling with prestress is in several aspects original, various micromechanics-based models already exist in literature but they concern poroelastic damage, strength and/or poroplasticity (see for instance among others [8,2,7,18,15] and references cited herein).…”

On a class of micromechanical damage models with initial stresses for geomaterials

“…Mainly from the perspective of concerned applications in geomechanics, 1 it is desirable to formulate a micromechanical model and determine how initial stresses affect the response of material sustaining damage by voids growth. Before presenting the developments in the present study, it is convenient to note that although the use of the concept of pre-stress in the context of mechanical damage modeling with pre-stress is at several aspects original, various micromechanicsbased works dealing with poroelastic damage, strength and/or poroplasticity already exist in literature (see for instance among others (Dormieux et al, 2001;Barthélémy and Dormieux, 2004;Dormieux et al, 2006;Maghous et al, 2009, and references cited herein).…”