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A Comparative Study on Three BEM Approaches for Dynamic Elastoplastic Analysis

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Contemporary Research in Engineering Science

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Summary

Three recently developed general boundary element methodologies for the determination of the response of two-dimensional elastoplastic solids and structures to dynamic loads are briefly presented and critically compared The first two methods employ the elastostatic fundamental solution in their integral formulation and this creates elastoplastic as well as inertial domain integrals in addition to boundary ones. Thus, the first method requires an interior domain discretization in addition to the boundary one. In the second method, which transforms the domain inertial integrals into boundary ones with the aid of the dual reciprocity technique, the interior discretization is restricted to those parts of the domain expected to become elastoplastic. The third method is actually a hybrid scheme that combines the finite element method used for that part of the structure expected to become elastoplastic with the elastodynamic boundary element method used for the remaining part expected to remain elastic. The discretized equations of motion in all the above methodologies are solved by efficient step-by-step time integration algorithms. These three methods are critically compared with respect to their accuracy and efficiency by means of a representative numerical example.

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Authors and Affiliations

  1. University of Patras, GR - 26500, Patras, Greece

    D. E. Beskos

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  1. D. E. Beskos
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Editors and Affiliations

  1. Dept. of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, 24061-0219, Blacksburg, VA, USA

    Romesh C. Batra

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© 1995 Springer-Verlag Berlin Heidelberg

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Beskos, D.E. (1995). A Comparative Study on Three BEM Approaches for Dynamic Elastoplastic Analysis. In: Batra, R.C. (eds) Contemporary Research in Engineering Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-80001-6_6

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  • DOI: https://doi.org/10.1007/978-3-642-80001-6_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-80003-0

  • Online ISBN: 978-3-642-80001-6

  • eBook Packages: Springer Book Archive

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