A mathematical framework for finite strain elastoplastic consolidation Part 1: Balance laws, variational formulation, and linearization

摘要: A mathematical formulation for finite strain elasto plastic consolidation of fully saturated soil media is presented. Strong and weak forms the boundary-value problem are derived using both material spatial descriptions. The algorithmic treatment elastoplasticity solid phase based on multiplicative decomposition coupled with algorithm fluid flow via Kirchhoff pore water pressure. Balance laws written soil-water mixture following motion matrix alone. It shown that only affects Jacobian motion, therefore can be characterized completely by matrix. Furthermore, it from energy balance consideration effective, or intergranular, stress appropriate measure describing constitutive response skeleton since absorbs all generated in mixture. Finally, model amenable to consistent linearization, explicit expressions tangent operators use numerical solutions such as those element method.