Approximation of density of potentials for the flat viscoelastic bodies with inclusions, bounded by a piecewise smooth contours

Authors

DOI:

https://doi.org/10.17721/1812-5409.2021/1.4

Keywords:

flat viscoelastic body, viscoelastic characteristics of regions, densities of potentials, Volterra principle, resolvent operators, boundary-time integral equations, angular point, singularity order

Abstract

An approach for approximating unknown densities of potentials in the study of the stressed state of a flat viscoelastic piecewise homogeneous body with inclusions, bounded by piecewise smooth contours, is proposed. The method is based on the construction of a system of boundary-time integral equations to determine the unknown densities of potentials along the contours of the inclusions. The approximation of the unknown densities of potentials was performed taking into account the singularity of the stressed state of a flat viscoelastic body near the angular point of the dividing line of the regions.

Pages of the article in the issue: 39 - 42

Language of the article: English

References

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No 1 (2021)

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Published

2021-06-16

How to Cite

Zatula, N. I., & Zatula, D. V. (2021). Approximation of density of potentials for the flat viscoelastic bodies with inclusions, bounded by a piecewise smooth contours. Bulletin of Taras Shevchenko National University of Kyiv. Physical and Mathematical Sciences, (1), 39–42. https://doi.org/10.17721/1812-5409.2021/1.4

Issue

No. 1 (2021)

Section

Differential equations, mathematical physics and mechanics

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