Development of Boundary Element Method in Polar Coordinate System for Elasticity Problems

Authors

  • Natela Zirakashvili

Keywords:

polar coordinates; elasticity problem; boundary element method; fictitious load method; boundary value problem

Abstract

The article presents an exact version of the boundary element method, in particular, the fictitious load method used to solve boundary value and boundary-contact problems of elasticity. The method is developed in the polar coordinate system. The circular boundary of the area limited with the coordinate axes of this system is divided not into small segments like in case of a standard boundary element method (BEM), but into small arcs, while the linear part of the boundary divides into small segments. In such a case, the considered area can be described more accurately than when it divides into small segments, and as a result, a more accurate solution of the problem is obtained. Two test boundary-contact problems were solved by using a boundary element method developed in the polar coordinate system (PCSBEM), and the obtained numerical values are presented as tables and graphs.

How to Cite

Natela Zirakashvili. (2018). Development of Boundary Element Method in Polar Coordinate System for Elasticity Problems. Global Journals of Research in Engineering, 18(J5), 7–21. Retrieved from https://engineeringresearch.org/index.php/GJRE/article/view/1861

Development of Boundary Element Method in Polar Coordinate System for Elasticity Problems

Published

2018-10-15