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The paper deals with numerical realization of contact problems with friction obeying the Coulomb law. The original problem is formulated as the fixed-point problem for a certain operator generated by the variational inequality. This inequality is transformed to a system of variational nonlinear equations generating other operators, in a sense "close" to the above one. The fixed-point problem of these operators is solved by the least-square method in which equations and the corresponding quadratic...
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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