Zhura, N. A.; Soldatov, A. P. A mixed contact problem from plane elasticity theory in domains with piecewise-smooth boundaries. (English. Russian original) Zbl 0663.73077 Differ. Equations 24, No. 1, 42-50 (1988); translation from Differ. Uravn. 24, No. 1, 55-64 (1988). The classical mixed boundary value problem of two-dimensional elasticity is considered in the case where the coefficients have jumps along the smooth curve dividing the domain into two sub-domains. The existence and uniqueness of the solution is proved. The problem is related to the mechanics of composite materials. The method of the proof is based on the theory of \(\Delta\)-analytic functions. Reviewer: A.Kratochvíl MSC: 74A55 Theories of friction (tribology) 74M15 Contact in solid mechanics 74B99 Elastic materials 74H99 Dynamical problems in solid mechanics 74B20 Nonlinear elasticity 74G30 Uniqueness of solutions of equilibrium problems in solid mechanics 74H25 Uniqueness of solutions of dynamical problems in solid mechanics 30G30 Other generalizations of analytic functions (including abstract-valued functions) Keywords:Lamé equations; Riemann problem; Noether problem; Delta-analytic functions; two-dimensional elasticity; jumps; sub-domains; existence; composite materials PDFBibTeX XMLCite \textit{N. A. Zhura} and \textit{A. P. Soldatov}, Differ. Equations 24, No. 1, 42--50 (1988; Zbl 0663.73077); translation from Differ. Uravn. 24, No. 1, 55--64 (1988)