Frictionless contact between an elastic stamp and an elastic foundation

摘要: Starting from the statical and kinematical basic equations inequalities resp. we derive a (material independent) mixed principle of virtual work which includes rigid body displacements stamp, contact pressure surface contacting bodies. For an elastic material saddle functional Hellinger-Reisner type occurs complementary extremum principles are generated. Especially force is well suited for discretization originally continuous problem therefore used as basis numerical realization mathematical optimization problem. As examples consider stamps (rectangle, sphere, cone) on layered halfspace rectangular plate halfspace. The modification beam nonlinear Winkler foundation also discussed.