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

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.

• Periodical: Solid State Phenomena (Volume 316)
• Pages: 928-935
• DOI: https://doi.org/10.4028/www.scientific.net/SSP.316.928
• Online since: April 2021
• Authors: Oleksandr Shapoval, Iurii Savchenko, Oleg Markov*
• Keywords: Coefficient of Stress Concentration, Conformal Display on a Circle of a Single Radius, Defect Formation, Heterogeneous Medium, Mathematical Model

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