Analysis of two-dimensional problem with general boundaries using the scaled boundary finite element method
Corressponding author's email:
chungnv@hcmute.edu.vnDOI:
https://doi.org/10.54644/jte.64.2021.96Keywords:
SBFEM, Linear Problem, Mixed boundary condition, High-Order Element, Polynomial shape functionAbstract
This paper presents the advantages of the scaled boundary finite element method for analysis of two-dimensional problems with general boundaries condition. The scaled boundary finite element formulation is formulated within a general framework including the influence of distributed body source, mixed boundary condition, contributions of the side face. The linear elasticity problem is presented to verify the proposed method with the analytical solution. Numerical example shows the accuracy and efficiency of the proposed method. The proposed method could be investigated with the other shape functions and developed for three-dimensional problems.
Downloads: 0
References
Song, C., Wolf, J. P. Body loads in scaled boundary finite-element method. Computer Methods in Applied Mechanics and Engineering, 1999, 180:117-135. DOI: https://doi.org/10.1016/S0045-7825(99)00052-3
Deeks, A. J & Wolf, J. P. A virtual work derivation of the scaled boundary finite-element method for elastostatics. Computational Mechanics, 2002, 28:489–504. DOI: https://doi.org/10.1007/s00466-002-0314-2
Deeks, J.A. & Wolf, J. P. Semi-analytical elastostatic analysis of unbounded two-dimensional domains. International Journal for numerical and analytical in geomechanics, 2002, 26:1031–1057. DOI: https://doi.org/10.1002/nag.232
Deeks, A. J. Prescribed side-face displacements in the scaled boundary finite-element method. Computers and Structures, 2004, 82:1153-1165. DOI: https://doi.org/10.1016/j.compstruc.2004.03.024
Nguyen Van Chung. Scaled boundary finite element method with exact defining curves for geo-machanics applications. Journal of Science and Technology in Civil Engineering NUCE, 2019, 13(3):124-134. DOI: https://doi.org/10.31814/stce.nuce2019-13(3)-12
Jia, M. Y., Li, J. C., Zhang, Y. & Chen, J. The high-order completeness analysis of the scaled boundary finite element method. ScienceDirect, 2020, 362:112867. DOI: https://doi.org/10.1016/j.cma.2020.112867
Downloads
Published
How to Cite
License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Copyright © JTE.
