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    Structured Mesh Refinement in Generalized Interpolation Material Point (GIMP) Method for Simulation of Dynamic Problems

    Jin Ma, Hongbing Lu, Ranga Komanduri1

    CMES-Computer Modeling in Engineering & Sciences, Vol.12, No.3, pp. 213-228, 2006, DOI:10.3970/cmes.2006.012.213

    Abstract The generalized interpolation material point (GIMP) method, recently developed using a C1 continuous weighting function, has solved the numerical noise problem associated with material points just crossing the cell borders, so that it is suitable for simulation of relatively large deformation problems. However, this method typically uses a uniform mesh in computation when one level of material points is used, thus limiting its effectiveness in dealing with structures involving areas of high stress gradients. In this paper, a spatial refinement scheme of the structured grid for GIMP is presented for simulations with highly localized stress gradients. A uniform structured background… More >

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