In the paper a contact problem in non-linear thermo-elastic rheology is studied. A problem of unilateral contact between bodies in non-linear thermo-elasticity firstly leads to a generalization of non-linear stress–strain relation. The stress–strain relation is derived from a positive...

A non-overlapping domain decomposition algorithm of Neumann–Neumann type for solving variational inequalities arising from the elliptic boundary value problems in two dimensions with unilateral boundary condition is presented. We suppose that boundary with inequality condition is...

In the paper, the quasi-coupled semi-coercive contact problem in thermo-elasticity is investigated. The FEM analysis of the problem is also presented.