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The Cell-based Smoothed Alpha Radial Point Interpolation Method (CS-αRPIM)

      https://doi.org/10.1142/9789814452854_0009Cited by:0 (Source: Crossref)
      Abstract:

      The following sections are included:

      • CS-αRPIM-Tr4 for 2D solids

        • Approximation of displacement field

        • Properties of αPIM shape functions

        • Evaluation of cell-based smoothed strains

        • CS-αRPIM formulations

      • CS-αRPIM-Te5 for 3D solids

      • Numerical implementation

        • Macro flowchart of the CS-αRPIM

        • Meshes with the same aspect ratio

        • Some possible CS-αRPIM models

        • Condition number of the CS-αRPIM models

        • Estimation of computational cost

        • Evaluation of nodal strain (stress)

        • Rank analysis for CS-αRPIM models

        • Temporal stability analysis

      • Numerical examples for 2D solids

      • Numerical examples for 3D solids

      • Concluding remarks

      • References