Research Article

Obtaining The Finite Difference Approximation of The Lame System By Using Barycentric Coordinates

Volume: 44 Number: 2 June 30, 2023
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Obtaining The Finite Difference Approximation of The Lame System By Using Barycentric Coordinates

Abstract

The elasto-plastic contact problem with an unknown contact domain (UCD) has attracted mathematicians, mechanics and engineers for decades. So, the problem of determining the stresses in the UCD is very important nowadays in terms of engineering and applied mathematics. To improve the finite element model, the remeshing algorithm is used for the considered indentation problem. The algorithm allows the determination of the UCD at each step of the indentation with high accuracy. This paper presents the analysis and numerical solution of the boundary value problem for the Lame system, and the modeling of the contact problem for rigid materials. By using barycentric coordinates, the finite difference approximation of the mathematical model of the deformation problem with undetermined bounded is obtained and the relations between the finite elements and finite differences are investigated.

Keywords

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Publication Date

June 30, 2023

Submission Date

January 17, 2022

Acceptance Date

April 30, 2023

Published in Issue

Year 2023 Volume: 44 Number: 2

DOI

https://doi.org/10.17776/csj.1058866

IZ

https://izlik.org/JA52EN93HB

Cite

RIS / Bibtex
APA
Yazıcı, V. (2023). Obtaining The Finite Difference Approximation of The Lame System By Using Barycentric Coordinates. Cumhuriyet Science Journal, 44(2), 336-344. https://doi.org/10.17776/csj.1058866

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