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We analyze a numerical model for the Signorini unilateral contact, based on the mortar method, in the quadratic finite element context. The mortar frame enables one to use non-matching grids and brings facilities in the mesh generation of different components of a complex system. The convergence rates we state here are similar to those already obtained for the Signorini problem when discretized on conforming meshes. The matching for the unilateral contact driven by mortars preserves then the proper...
We consider mixed and hybrid variational formulations to the linearized
elasticity system in domains with cracks. Inequality type conditions are
prescribed at the crack faces which results in unilateral contact problems. The
variational formulations are extended to the whole domain including the cracks
which yields, for each problem, a smooth domain formulation. Mixed
finite element methods such as PEERS or BDM methods are designed to avoid
locking for nearly incompressible materials in plane elasticity....
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