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

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

Natela Zirakashvili

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Tbilisi State University

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

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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.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

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Not applicable for this article.

How to Cite This Article

Natela Zirakashvili. 2018. \u201cDevelopment of Boundary Element Method in Polar Coordinate System for Elasticity Problems\u201d. Global Journal of Research in Engineering - J: General Engineering GJRE-J Volume 18 (GJRE Volume 18 Issue J5): .

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GJRE Volume 18 Issue J5
Pg. 7- 21

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Journal Specifications

Crossref Journal DOI 10.17406/gjre

Print ISSN 0975-5861

e-ISSN 2249-4596

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Classification

GJRE-J Classification: FOR Code: 010299

Submission ReceivedDecember 13, 2017
Peer Review Double Blind
Handling Editor
Accepted December 31, 2017
Published January 15, 2018

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v1.2

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December 8, 2018

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Article Matrices

Total Score: 101

Country: Georgia

Subject: Global Journal of Research in Engineering - J: General Engineering

Authors: Natela Zirakashvili (PhD/Dr. count: 0)

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Publish Date: 2018 12, Sat

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