A strain-constructed point interpolation method and strain field construction schemes for solid mechanics problems using triangular mesh

Zhang, Guiyong; Liu, Gui-Rong; Xu, X. P.

doi:10.1016/j.amc.2012.08.052

Cited by 5 publications

(8 citation statements)

References 26 publications

(8 reference statements)

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“…We usually choose all the field nodes first, and then may add in the middle points of cell edges and the centroidals of the triangular cells as the interpolation points. Such selection of strain interpolation points are used in PIM-CS [14,31], SαFEM [38], and SC-PIM [29,30].…”

Section: Strain Construction By Point Interpolationmentioning

confidence: 99%

“…For points at the centroidals, cell-based smoothing domain may be used. This is practiced in PIM-CS [14,31], SC-PIM [29,30], and SαFEM [38]. A new set of (preferably triangular) cells for the set of strain interpolation points is then created for the strain field interpolation.…”

Section: Step 2: Compute Strains At the Critical Pointsmentioning

confidence: 99%

“…This set of cells is used also for integration of the weak form, and are called quadrature or integration cells. The new triangular quadrature cells are hosted by the original triangles, and typically a triangular cell is divided into 1, 3, 4 or 6 integration cells, as in SC-PIM [29]. Chapter 10 gives more details.…”

Section: Step 2: Compute Strains At the Critical Pointsmentioning

confidence: 99%

“…We often introduce some parameters controlling the constructed strain field for desired properties. The above mentioned steps were used in PIM-CS [14,31], SC-PIM [29,30], and SαFEM [38].…”

Section: Step 3: Strain Field Construction Over Cellsmentioning

confidence: 99%

“…One can practically establish models that give "close-to-exact" solutions (at least in a norm), as shown in PIM-CS [14,31], SC-PIM [29,30], SαFEM [38], and CS-αRPIM [53]. This is made possible to feature in a "knob" to tune S-PIM model for desired properties.…”

Section: Remark 49 Accuracy Issuesmentioning

confidence: 99%

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Section: Strain Construction By Point Interpolationmentioning

confidence: 99%

Section: Step 2: Compute Strains At the Critical Pointsmentioning

confidence: 99%

Section: Step 2: Compute Strains At the Critical Pointsmentioning

confidence: 99%

“…We often introduce some parameters controlling the constructed strain field for desired properties. The above mentioned steps were used in PIM-CS [14,31], SC-PIM [29,30], and SαFEM [38].…”

Section: Step 3: Strain Field Construction Over Cellsmentioning

confidence: 99%