Stationary discontinuity and flutter instability of wave propagation in elasto-plastic saturated porous media

In the present work a model based on the Biot theory for simulating coupled hydrodynamic behavior mi saturated porous media is utilized with integrati on of the inertial coupling effect between the solid-fluid phases of the me dia into the model. The non-associated Drucker-Prager criterion to describe nonlinear constitutive behavior of pressure dependent elasto-plasticity fo r the media is particularly considered. With no consideration of compressib ility of solid grains and the pore fluid, the discontinuity and instability of the wave propagation in saturated porous media axe analyzed for the pla ne strain problems in detail. The critical conditions of stationary discont inuity and flutter instability in the wave propagation are given. The resul ts and conclusions obtained by the present work will provide some bases or clues for overcoming the difficulties in numerical modeling of wave propaga tion in the media subjected to dynamic loading.