Abstract:In Chapter 6, we have presented the node-based smoothed PIM (NS-PIM), and examined the properties of various NS-PIM models. These NS-PIM models are softer models, spatially stable, having nonzero-energy modes, work very well for static mechanics problems, and have very important upper bound and super-convergence properties in the strain energy [1][2][3][4][5][6][7][8]. However, the NS-PIM was found temporally instable [7-10], when applied to solve dynamic problems. Such instability is often observed at higher … Show more
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