Abstract
The Ck-Generalized Finite Element Method (Ck-GFEM) in its original version considers Partition of Unity (PoU) functions defined as Shepard ones, which delivers zeroth order consistency in the absence of uniform polynomial extrinsic enrichment of degree one, at least. Such a feature can make Ck-GFEM unfavorable against the conventional G/XFEM when comparing the degrees-of-freedom (dof) amount for a certain error level. This inconvenience can be overcome through intrinsic enrichment using the Moving Least Squares Method (MLSM), which allows the construction of PoU functions with enhanced polynomial reproducibility despite the cost of demanding the widening of the associated supports. In this context, the present work summarizes some results for the static rod deformation problem, for the linear elasticity, considering different classes of PoU functions and different extrinsic enrichment functions, through an approach that adjusts the k-order of continuity and the p-polynomial degree of the ansatz independently, for some kinds of loads distributions which leads to different classes of solutions.
Published Version
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