التفاصيل البيبلوغرافية
| العنوان: |
THE PROBLEM OF FINDING AN EQUALLY STRONG CONTOUR IN THE CASE OF A VISCOELASTIC SQUARE PLATE. |
| المؤلفون: |
Kapanadze, G., Gogolauri, L., Gulua, B. |
| المصدر: |
Applied Mathematics, Informatics & Mechanics; 2022, Vol. 27 Issue 1, p90-100, 11p |
| مصطلحات موضوعية: |
BOUNDARY value problems, COMPRESSIVE force, ANALYTIC functions, VISCOELASTICITY, ELLIPTIC integrals, RIEMANN-Hilbert problems |
| مستخلص: |
The problem of finding an equally strong contour inside a rectangular viscoelastic plate according to the Kelvin-Voigt model is considered. It is assumed that normal compressive forces with given principal vectors (or constant normal displacements) are applied on the sides of the rectangle by means of a linear absolutely rigid stamp, and the unknown part of the boundary (the desired equal-strength contour) is free from external forces. The equal strength of the desired contour lies in the fact that at each point of the contour the tangential normal stress takes on the same values. To solve the problem, methods of conformal mappings and boundary value problems of analytic functions are used, and the equation of the desired contour, as a function of point and time, is constructed effectively (in an analytical form). [ABSTRACT FROM AUTHOR] |
|
Copyright of Applied Mathematics, Informatics & Mechanics is the property of Iv. Javakhishvili Tbilisi State University Ilia Vekua Institute of Applied Mathematics and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
| قاعدة البيانات: |
Complementary Index |
