Numerical Simulation of 2D Elastic Problems Using RBF-FD Method

DOI

10.2991/icmce-14.2014.35How to use a DOI?

Keywords

Meshless Method, Radial Basis Function, Finite Difference, Hermite Interpolation, Elasticity

Abstract

This work applies the radial basis function-finite difference method (RBF-FD) for the solution of 2D elastic problems. Compared with traditional finite difference methods based on polynomial interpolation, the RBF-FD does not require a regular arrangement of nodes but can achieve high accuracy. With -property, the boundary conditions can be easily imposed. To deal with the stress boundary conditions, the Hermite interpolation is used in calculation of the approximation function and discrete equation. The validity is examined by typical examples in the treatment of 2D problems in elasticity

Copyright

© 2014, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Wei LI
AU  - Chun-Guang LI
AU  - Hong ZHENG
AU  - Hong-Wei GUO
AU  - Zhi-Fen WANG
PY  - 2014/12
DA  - 2014/12
TI  - Numerical Simulation of 2D Elastic Problems Using RBF-FD Method
BT  - Proceedings of the 2014 International Conference on Mechanics and Civil Engineering
PB  - Atlantis Press
SP  - 193
EP  - 198
SN  - 2352-5401
UR  - https://doi.org/10.2991/icmce-14.2014.35
DO  - 10.2991/icmce-14.2014.35
ID  - LI2014/12
ER  -