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Parallel Implementation on the ICAP/3090 of a Boundary Element Method Formulation for Fractional Operator Modeled Viscoelastodynamic Structures

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Abstract

A formulation of the boundary element method (BEM) for dynamic analysis of 3-D viscoelastic structures modeled by the fractional operator constitutive equations is reviewed. Then, the parallel numerical implementation of the BEM formulation on a. large grain parallel system, the ICAP/3090, is discussed.

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References

  1. Bagley R.L. (1979). “Application of Generalized Derivatives to Viscoelasticity,” Ph.D. Thesis, Air Force Institute of Technology.

    Google Scholar 

  2. Bagley R.L. and P.J. Torvik (1986). “On the Fractional Calculus Model of Viscoelastic Behavior,” J. Rheol., 30(1), 133–155.

    Article  MATH  ADS  Google Scholar 

  3. Bland, D.R. (1960). The Theory of Linear Viscoelaslicity, Pcrgamon Press, Oxford.

    Google Scholar 

  4. Clementi, E., Logan, D., and Saarinen, J. (1988). “ICAP/3090: Parallel Processing for Large-scale Scientific and Engineering Problems,” IBM Sys. J., 27(4), 475–507.

    Article  Google Scholar 

  5. Davies, A.J. (1988). “Quadratic Isoparametric Boundary Elements: An Implementation on the ICL DAP,” in Boundary Elements X: Vol. 3 edited by C.A. Brebbia, CM Pub., Southampton, 657–666.

    Google Scholar 

  6. Durbin, F. (1974). “Numerical Inversion of Laplace Transforms: an Efficient Improvement to Dubner and Abate’s Method,” Comp. J., 7, 371–376.

    MathSciNet  Google Scholar 

  7. Gibson, D.H., Rain, D.W., and Walsh, II.F. (1986). “Scientific Processing on the IBM 3090,” IBM Sys. J., 25(1), 36–50.

    Article  Google Scholar 

  8. IIebeker, F.K. (1989). “Experiences with the Vectorization of a Boundary Element Code for the Neumann Problem of the Laplaccan,” Applications of Supercomputers in Engineering: Fluid Flow and Stress Analysis Applications, Computational Mechanics Publications, Southampton.

    Google Scholar 

  9. Melli, P. and Brebbia, C.A., editors (1989). Supercomputing in Engineering Structures, Computational Mechanics Publications, Southampton.

    MATH  Google Scholar 

  10. Xie, K.J., R.D. Ciskowski, and L. II. Royster (1988). “ An Investigation of Wave Propagation in Viscoelastic Media Modeled by Fractional Derivative Using the Boundary Element Method,” in Boundary Element Methods in Applied Mechanics, edited by M. Tanaka and T.A. Cruse, Pcrgamon Press, New York, 523–531.

    Google Scholar 

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© 1990 Springer-Verlag Berlin Heidelberg

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Ciskowski, R.D., Sonnad, V., Xie, Kj. (1990). Parallel Implementation on the ICAP/3090 of a Boundary Element Method Formulation for Fractional Operator Modeled Viscoelastodynamic Structures. In: Annigeri, B.S., Tseng, K. (eds) Boundary Element Methods in Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84238-2_61

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  • DOI: https://doi.org/10.1007/978-3-642-84238-2_61

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-84240-5

  • Online ISBN: 978-3-642-84238-2

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