New theory of Elasto-Plastic porous media Hydro-Mechanical coupling:Mixture Coupling Theory
Due to global climate change and the Dual Carbon policy,the deformation of solids of and the transport of fluids in porous media have become particularly important issues.However,one of the challenges in establishing a Hydro-Mechanical coupling model for porous media is to consider interactions across macro-scale to nano-scale.This paper utilizes the Mixture Coupling Theory based on non-equilibrium thermodynamics to establish a new Hydro-Mechanical coupling model for elastic-plastic porous media.Within this framework,it investigates the coupling between elastic deformation,plastic deformation and liquid seepage,taking into account entropy production during dissipation process and using the Helmholtz free energy to connect the interaction between mechanical deformation(at the macroscopic scale)and liquid transport(at the nano-scale).The model incorporates elastic-plastic stiffness coefficients in the stress-strain relationship to account for plasticity.At the same time,the classical Darcy's law has been fundamentally extended to consider the plastic deformation of the solid.The effectiveness of this model is verified by comparison with models in the open literature.Finally,numerical analysis shows that plastic deformation has a significant impact on HM coupling for porous media.