Browse > Article
http://dx.doi.org/10.12814/jkgss.2021.20.3.011

Approximately Coupled Method of Finite Element Method and Boundary Element Method for Two-Dimensional Elasto-static Problem  

Song, Myung-Kwan (Technology Development Center, Saman Corporation)
Publication Information
Journal of the Korean Geosynthetics Society / v.20, no.3, 2021 , pp. 11-20 More about this Journal
Abstract
In this paper, the approximately coupled method of finite element method and boundary element method to obtain efficient and accurate analysis results is proposed for a two-dimensional elasto-static problem with a geometrically abruptly changing part. As the finite element of a two-dimensional problem, three-node and four-node plane stress element is applied, and as the boundary element of a two-dimensional problem, three-node boundary element is applied. In the modeling stage, firstly, an entire analysis target object is modeled as finite elements, and then a geometrically abruptly changing part is modeled as boundary elements. The boundary element is defined using the nodes defined for modeling finite elements. In the analysis stage, finite element analysis is firstly performed on a entire analysis target object, and boundary element analysis is automatically performed afterwards. As for the boundary conditions at boundary element analysis, displacement conditions and stress conditions, which are the results of finite element analysis, are applied. As a numerical example, the analysis results for a two-dimensional elasto-static problem, a plate with a crack, are presented and investigated.
Keywords
Two-dimensional elasto-static; Finite element; Boundary element; Coupled method;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Aour, B., Rahmani, O., and Nait-Abdelaziz M. (2007), A coupled FEM/BEM approach and its accuracy for solving crack problems in fracture mechanics, International Journal of Solids and Structures, Vol.44, pp.2523-2539.   DOI
2 Becker, A. A. (1992), The Boundary Element Method in Engineering, McGraw-Hill, UK.
3 Beer, G. (1983), Finite Element, Boundary Element, and Coupled Analysis of Unbounded Problems in Elastostatics, International Journal for Numerical Methods in Engineering, Vol.19, pp.567-580.   DOI
4 Belytschko, T., Chang, H. S., and Lu, Y. Y. (1989), A Variationally Coupled Finite Element-Boundary Element Method, Computers & Structures Vol.33, No.1, pp.17-20.   DOI
5 Brebbia, C. A., Telles, J. C. F., and Wrobel, L. C. (1984), Boundary Element Techniques, Springer-Verlag, UK.
6 Chidgzey, S. R., Trevelyan J., and Deeks, A. J. (2008), Coupling of the Boundary Element Method and the Scaled Boundary Element Method for Computations in Fracture Mechanics, Computers & Structures Vol.86, pp.1198-1203.   DOI
7 Cook, R.D., Malkus, D.S., Plesha, M.E. (1989), Concepts and Applications of Finite Element Analysis, John Wiley & Sons, USA.
8 Hinton, E., Owen, D. R. J. (1977), Finite Element Programming, Academic Press Inc. Ltd.
9 Kim, K. H., Bang, J. S., Kim, J. H., Kim, Y., Kim, S. J., and Kim, Y. (2013), Fully Coupled BEN-FEM Analysis for Ship Hydroelasticity in Waves, Marine Structures, Vol.33, pp.71-99.   DOI
10 Stephan, E. P. (2017), Coupling of Boundary Element Methods and Finite Element Methods, Encyclopedia Computational Mechanics, 2nd. Ed., pp.1-40.
11 Vasilev, G., Parvanova, S., Dineva, P., and Wuttke, F. (2015), Soil-structure Interaction using BEM-FEM Coupling through ANSYS Software Package, Soil Dynamics and Earthquake Engineering, Vol.70, pp.104-117.   DOI
12 Zhao, W., Chen, L., Chen, H., and Marburg, S. (2019), Topology Optimization of Exterior Acoustic-structure Interaction Systems using the Coupled FEM-BEM Method, International Journal for Numerical Methods in Engineering, Vol.119, No.5, pp.404-431.   DOI
13 Yazdchi, M., Khalili, N., and Valliappan, S. (1999), Dynamic Soil-Structure Interaction Analysis via Coupled Finite-Element-Boundary-Element Method, Soil Dynamics and Earthquake Engineering, Vol.18, pp.499-517.   DOI
14 Boumaiza, D. and Aour, B. (2014), On the efficiency of the iterative coupling FEM-BEM for solving the elasto-plastic problems, Engineering Structures, Vol.72, pp12-25.   DOI
15 El-Gebeily, M., Elleithy, W. M., and Al-Gahtani, H. J. (2002), Convergence of the Domain Decomposition Finite Element-Boundary Element Coupling Methods, Computer Methods in Applied Mechanics and Engineering, Vol.191, pp.4851-4867.   DOI
16 Galvin, P., Francois, S., Schevenels, M., Bongini, E., Degrande, G., and Lombaert, G. (2010), A 2.5D Coupled FE-BE Model for the Prediction of Railway Induced Vibrations, Soil Dynamics and Earthquake Engineering, Vol.30, pp. 1500-1512.   DOI