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Some Investigations of Fast Multipole BEM in Solid Mechanics

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Recent Advances in Boundary Element Methods

Abstract

Combined with the fast multipole method, the boundary element method become quite efficient, to deal with large-scale engineering and scientific problems. In this paper, some applications of the FMBEM on 2D and 3D simulation of composite materials on a PC are presented at first. A parallel algorithm of FMBEM for PC cluster is briefly introduced. And then some 3D large-scale simulation of complex fiber- and carbon nanotube-reinforced composites on PC cluster are presented. On the other hand, FMBEM are investigated to simulate 2D elastic solid containing large number of cracks and fatigue crack growth. A new approach of FMBEM for elasto-plasticity problems is also presented.

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Author information

Authors and Affiliations

  1. Department of Engineering Mechanics, Tsinghua University, Beijing, 100084, China

    Zhenhan Yao

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  1. Zhenhan Yao
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Correspondence to Zhenhan Yao .

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Editors and Affiliations

  1. Department of Civil Engineering, Aristotle University, 54124 Thessaloniki, Greece

    George D. Manolis (Professor) (Professor)

  2. Department of Mechanical Engineering and Institute of Chemical Engineering&High Temperature Processes, University of Patras, 265 00 Patras, Greece

    D. Polyzos

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Yao, Z. (2009). Some Investigations of Fast Multipole BEM in Solid Mechanics. In: Manolis, G.D., Polyzos, D. (eds) Recent Advances in Boundary Element Methods. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-9710-2_28

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  • DOI: https://doi.org/10.1007/978-1-4020-9710-2_28

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-9709-6

  • Online ISBN: 978-1-4020-9710-2

  • eBook Packages: EngineeringEngineering (R0)

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