| dc.creator | VOLODYMYR ZOZULYA | |
| dc.date | 2010-12-30 | |
| dc.date.accessioned | 2023-07-21T19:16:14Z | |
| dc.date.available | 2023-07-21T19:16:14Z | |
| dc.identifier | http://cicy.repositorioinstitucional.mx/jspui/handle/1003/201 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/7735816 | |
| dc.description | In this article the divergent integrals, which arise when the boundary
integral equation (BIE) methods are used for solution of the 3-D elastostatic
problems is considered. The same approach for weakly singular, singular and hypersingular
integral regularization is developed. The approach is based on theory
of distribution and Green’s theorems. This approach is applied for regularization
of the divergent integrals over convex polygonal boundary elements (BE) in the
case of piecewise constant approximation and over rectangular and triangular BE
for piecewise linear approximation. The divergent integrals are transformed into
the regular contour integrals that can be easily calculated analytically. Proposed
methodology easy can be extended to other problems: elastodynamics, analytical
calculation of the regular integrals, when collocation point situated outside the BE.
Calculations of the divergent and regular integrals for square and triangle of the
unit side are presented | |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/4.0 | |
| dc.subject | info:eu-repo/classification/cti/7 | |
| dc.subject | info:eu-repo/classification/cti/33 | |
| dc.subject | info:eu-repo/classification/cti/3312 | |
| dc.subject | info:eu-repo/classification/cti/3312 | |
| dc.title | Divergent Integrals in Elastostatics: Regularization in 3-D Case | |
| dc.type | info:eu-repo/semantics/article | |
