Upper bounds on post-shakedown quantities in poroplasticity

In this paper various inequalities are established in coupled poroplasticity. These provide upper bounds that can be computed directly for various history-dependent post-shakedown quantities. The main features of the constitutive and computational models considered are as follows: two-phase material; full saturation; piecewise linearization of yield surfaces and hardening; associativity; linear Darcy law; finite element space-discretization in Prager’s generalized variables. The results achieved are illustrated by comparative numerical tests.