Static shakedown theorems in piecewise linearized poroplasticity

Summary A fully saturated two-phase solid or structure subjected to variable, in particular cyclic, external actions is described as a nonhardening poroelastoplastic material with piecewise linearized yield loci. With reference to a multifield finite element model, sufficient and necessary conditions for shakedown are established by the static Melan's approach. Shakedown analysis by linear programming is briefly discussed. Received 29 December 1997, accepted for publications 25 June 1998