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    SPH in a Total Lagrangian Formalism

    Rade Vignjevic1, Juan R. Reveles1, James Campbell1

    CMES-Computer Modeling in Engineering & Sciences, Vol.14, No.3, pp. 181-198, 2006, DOI:10.3970/cmes.2006.014.181

    Abstract To correct some of the main shortcomings of conventional SPH, a version of this method based on the Total Lagrangian formalism, T. Rabczuk, T. Belytschko and S. Xiao (2004), is developed. The resulting scheme removes the spatial discretisation instability inherent in conventional SPH, J. Monaghan (1992).
    The Total Lagrangian framework is combined with the mixed correction which ensures linear completeness and compliance with the patch test, R. Vignjevic, J. Campbell, L. Libersky (2000). The mixed correction utilizes Shepard Functions in combination with a correction to derivative approximations.
    Incompleteness of the kernel support combined with the lack of consistency… More >

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