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• W1972373951 abstract "A point interpolation method with locally smoothed strain field (PIM-LS2) is developed for mechanics problems using a triangular background mesh. In the PIM-LS2, the strain within each sub-cell of a nodal domain is assumed to be the average strain over the adjacent sub-cells of the neighboring element sharing the same field node. We prove theoretically that the energy norm of the smoothed strain field in PIM-LS2 is equivalent to that of the compatible strain field, and then prove that the solution of the PIM-LS2 converges to the exact solution of the original strong form. Furthermore, the softening effects of PIM-LS2 to system and the effects of the number of sub-cells that participated in the smoothing operation on the convergence of PIM-LS2 are investigated. Intensive numerical studies verify the convergence, softening effects and bound properties of the PIM-LS2, and show that the very “tight” lower and upper bound solutions can be obtained using PIM-LS2." @default.
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• W1972373951 date "2010-10-01" @default.
• W1972373951 modified "2023-09-27" @default.
• W1972373951 title "A point interpolation method with locally smoothed strain field (PIM-LS2) for mechanics problems using triangular mesh" @default.
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• W1972373951 doi "https://doi.org/10.1016/j.finel.2010.05.005" @default.
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