Towards an extrinsic, CG-XFEM approach based on hierarchical enrichments for modeling progressive fracture
نویسندگان
چکیده
We propose an extrinsic, continuous-Galerkin (CG), extended finite element method (XFEM) that allows multiple Heaviside enrichments within a single in hierarchical manner. This approach enables complex, evolving XFEM surfaces 3D cannot be captured using existing CG-XFEM approaches. describe implementation of the for static elasticity with linearized strain modeling open cracks as salient step towards progressive fracture. The includes description model, hybrid implicit/explicit representation enrichments, numerical integration method, and novel degree-of-freedom (DoF) enumeration algorithm. algorithm supports arbitrary number element, while simultaneously maintaining continuous solution across elements. Additionally, our easily suitable distributed computing systems. Enabled by DoF algorithm, proposed lays groundwork computational tool efficiently models To facilitate discussion complex enrichment hierarchies, we develop diagrams to succinctly visualize relationships between (and fields they create) element. also provides unified language discussing extrinsic methods literature. compare several methods, relying on highlight their nuanced differences.
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ژورنال
عنوان ژورنال: Computer Methods in Applied Mechanics and Engineering
سال: 2022
ISSN: ['0045-7825', '1879-2138']
DOI: https://doi.org/10.1016/j.cma.2021.114221