On a type of Signorini problem without friction in linear thermoelasticity. (English) Zbl 0534.73095

(Author’s summary.) - In the paper the Signorini problem without friction in linear thermoelasticity for the steady-state case is investigated. The problem discussed is the model geodynamical problem, the physical analysis of which is based on the plate tectonic hypothesis and the theory of thermoelasticity. The existence and uniqueness of the solution as well as its finite element approximation is proved. It is known that the convergence of the approximate FEM solution to the exact solution is of the order O(h), assuming that the solution is sufficiently regular.
Reviewer: J.Lovíšek


74A55 Theories of friction (tribology)
74M15 Contact in solid mechanics
74F05 Thermal effects in solid mechanics
74S05 Finite element methods applied to problems in solid mechanics
74G30 Uniqueness of solutions of equilibrium problems in solid mechanics
74H25 Uniqueness of solutions of dynamical problems in solid mechanics
74S30 Other numerical methods in solid mechanics (MSC2010)
49J40 Variational inequalities
Full Text: EuDML


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