The constitutive equations of finite strain poroelasticity in the light of a micro-macro approach

摘要: Abstract After recalling the constitutive equations of finite strain poroelasticity formulated at macroscopic level, we adopt a microscopic point view which consists describing fluid-saturated porous medium space scale on fluid and solid phases are geometrically distinct. The recovered from analysis conducted representative elementary volume material open to mass exchange. procedure relies upon solution boundary value problem defined domain undergoing large elastic strains. potential, computed as integral free energy density over domain, is shown depend deformation gradient relevant variables. corresponding stress-type variables obtained through differentiation this potential turn out be Boussinesq stress tensor pore pressure. Furthermore, such makes it possible establish necessary sufficient conditions ensure validity an ‘effective stress’ formulation poroelasticity. Such notably satisfied in important case incompressible matrix.