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B. Hamed Mirjafari¹, S. Mohasseb^2,3, E. Seyyedihoseininia¹ and J. Boloori Bazzaz¹

¹Department of Civil Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Iran
²SMTEAM Company, Zurich, Switzerland
³Faculty of New Sciences and Technologies, University of Tehran, Iran

Keywords: scaled boundary finite element method.

Summary

The scaled boundary finite element method (SBFEM) is a semi-analytical method which combines the advantages of the finite element and boundary element methods simultaneously. The SBFEM satisfies radiation conditions at infinity similar to the boundary element method but it has no requirement for fundamental solutions at singularities. The SBFEM equations are solved analytically in the radial direction and converges to an exact solution in the finite-element sense in the circumferential direction by using high-order shape functions. As only the boundary is discretized with surface elements, the method leads to less computational cost. The SBFEM was developed by Wolf and Song in Switzerland during the 1990s. The range of usage of the method covers different fields of engineering now. Static and dynamic analysis in electromagnetics, mechanics, fracture analysis, geotechnical engineering, soilstructure and fluid-structure interactions are some of the examples which the method have been used so far. Developments contain derivation in both frequency and time domains. In this paper, part 1 of a state of the art literature review of the activities since 1975 is presented. The review consists of conceptual papers, pioneering methods, introduction papers, formulation derivations and developments of the method equations, crack analysis papers, medium-structure interactions, static and dynamic unbounded medium analysis papers.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 105 PROCEEDINGS OF THE NINTH INTERNATIONAL CONFERENCE ON ENGINEERING COMPUTATIONAL TECHNOLOGY Edited by: Paper 62 State of the Art Literature Review of the Scaled Boundary Finite Element Method B. Hamed Mirjafari¹, S. Mohasseb^2,3, E. Seyyedihoseininia¹ and J. Boloori Bazzaz¹ ¹Department of Civil Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Iran ²SMTEAM Company, Zurich, Switzerland ³Faculty of New Sciences and Technologies, University of Tehran, Iran doi:10.4203/ccp.105.62 purchase the full-text of this paper Full Bibliographic Reference for this paper B. Hamed Mirjafari, S. Mohasseb, E. Seyyedihoseininia, J. Boloori Bazzaz, "State of the Art Literature Review of the Scaled Boundary Finite Element Method", in , (Editors), "Proceedings of the Ninth International Conference on Engineering Computational Technology", Civil-Comp Press, Stirlingshire, UK, Paper 62, 2014. doi:10.4203/ccp.105.62 Keywords: scaled boundary finite element method. Summary The scaled boundary finite element method (SBFEM) is a semi-analytical method which combines the advantages of the finite element and boundary element methods simultaneously. The SBFEM satisfies radiation conditions at infinity similar to the boundary element method but it has no requirement for fundamental solutions at singularities. The SBFEM equations are solved analytically in the radial direction and converges to an exact solution in the finite-element sense in the circumferential direction by using high-order shape functions. As only the boundary is discretized with surface elements, the method leads to less computational cost. The SBFEM was developed by Wolf and Song in Switzerland during the 1990s. The range of usage of the method covers different fields of engineering now. Static and dynamic analysis in electromagnetics, mechanics, fracture analysis, geotechnical engineering, soilstructure and fluid-structure interactions are some of the examples which the method have been used so far. Developments contain derivation in both frequency and time domains. In this paper, part 1 of a state of the art literature review of the activities since 1975 is presented. The review consists of conceptual papers, pioneering methods, introduction papers, formulation derivations and developments of the method equations, crack analysis papers, medium-structure interactions, static and dynamic unbounded medium analysis papers. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £45 +P&P)
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