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SXFEM is designed by the stable enrichment function and stress intensity factors (SIF -type enrichment functionSIF -type
Firstly we modified the local enrichment function space, and we analyzed how the global error can be dominated by the local error.
The frictional behavior of contact between two bodies is modeled by using the X-FEM technique and applying the Heaviside enrichment function.
The enrichment function is not enforced but "allowed" in a consistent way and the overall methodology is much more general and also enables other enrichment functions.
Enrichment particles with a proper enrichment function are inserted/deleted in those regions to capture the buckling mode and therefore post-buckling behavior.
The Heaviside enrichment function is used to represent a jump across a discontinuity surface in a split element, and the non-smooth behavior around the crack tip is described using the semi-analytical SBFEM.
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In XCQ4, the crack is determined by level set function and enriched by Heaviside and crack-tip enrichment functions with special anisotropic enriched crack-tip functions.
The element free Galerkin method is enriched by the crack-tip enrichment functions to increase the approximation accuracy near the crack-tip.
Additionally, numerical enrichment functions are superimposed between the existing enrichment functions in a local computational domain.
A class of hyperbolic enrichment functions is proposed to resolve boundary layers near the enclosure walls.
The enrichment functions used are dependent on the geometric and mechanical properties of the element.
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