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Mesh Bias for the Eigenerosion Approach
Author(s) -
Qinami Aurel,
Kaliske Michael
Publication year - 2018
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201800414
Subject(s) - polygon mesh , discretization , representation (politics) , path (computing) , computer science , anisotropy , adaptive mesh refinement , mesh generation , finite element method , fracture mechanics , scheme (mathematics) , algorithm , structural engineering , mathematics , mathematical analysis , physics , engineering , computational science , computer graphics (images) , quantum mechanics , politics , political science , law , programming language
In fracture mechanics, having the right crack path is a necessary condition for achieving reliable results. On the other hand, a discretized continuum is unable to represent a random crack path perfectly. Thus, challenges lie ahead on the accuracy of the numerical representation of this crack. Albeit the eigenfracture scheme has been well established in the recent years, different simulation results have shown some dependencies of the crack path on the mesh orientation, particularly when dealing with unstructured meshes. An r‐adaptive mesh refinement technique is introduced in this work, which circumvents possible mesh bias. In this regard, eroded finite elements are adaptively aligned in the direction of configurational forces calculated at the crack tip. Investigating the bounds of the eigenerosion scheme related to meshing and the introduction of possible improvements contribute to avoiding mesh induced anisotropy and further consolidate the approach.