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Risultati finali
Results General results concerning problems of contact interaction(contact problems) of prestressed bodies with rigid, and elastic punches(facings) are presented. The formulation of the problems is given, and methods of solving planar and spatial contact problems for bodies with initial stressesare developed. Procedures of the theory of complex variables and methods of Riemann-Hilbert are used. For planar problems, the authors introduce planar potentials of the linearized static and dynamic problems for elastic compressible and incompressible bodies with initial stresses. In the case of spatial contact problems, various procedures are used: general solutions of spatial static problems for elastic bodies with initial stresses, methods of harmonic potential theory, integral transformations, and integral equations using numerical methods of investigation. The essential numerical results in the form of graphs and tables are presented. These give the quantitative and qualitative analysis of the influence of initial stresses on the main characteristics of contact problems.
The modeling of a rough isotropic surface with approximation of ledges by surfaces of the second order is advanced. Description of isotropicrough surfaces topography use only standard roughness. Installation for an experimental research of normal contact deformations is designed and manufactured. The experimental researches are executed. The analysis of experimental data allows concluding that the designed method of estimation of contact moving is more precise, than existing methods.
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