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Determination Coefficient of Stress Concentration Using a Conformed Display on a Circle of a Single Radius

Alexander Shapoval, Iurii Savchenko, Олег Марков

2021Diffusion and defect data, solid state data. Part B, Solid state phenomena/Solid state phenomena31 citationsDOI

Abstract

Developed a mathematical model, which makes it possible to optimize, from the point of view of defect formation, the parameters of stress concentration in a deformable elastic body of the materials being processed, destruction is considered as a method for creating defects at a submicroscopic level in various media. Getting expressions of conformal reflection of single circle on an arbitrary area, using a conformal reflection and transformation of Laplace, it is possible to design behavior of a tensely deformed state of solid at the arbitrary loading.

Topics & Concepts

Conformal mapReflection (computer programming)Laplace transformRADIUSTransformation (genetics)Stress (linguistics)Reflection coefficientPoint (geometry)Stress concentrationMathematical analysisMaterials scienceMechanicsGeometryMathematicsOpticsPhysicsComputer scienceChemistryProgramming languageGeneDeflection (physics)Computer securityPhilosophyBiochemistryLinguisticsDiverse Industrial Engineering TechnologiesIndustrial Engineering and TechnologiesEngineering and Environmental Studies
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