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Adaptive phase-field modeling of brittle fracture using the scaled boundary finite element method
Hirshikesh, Aladurthi L.N. Pramod, , E.T. Ooi, Chongmin Song,
Published in Elsevier B.V.
2019
Volume: 355
   
Pages: 284 - 307
Abstract
In this work, we propose an adaptive phase field method (PFM) to simulate quasi-static brittle fracture problems. The phase field equations are solved using the scaled boundary finite element method (SBFEM). The adaptive refinement strategy is based on an error indicator evaluated directly from the solutions of the SBFEM without any need for stress recovery techniques. Quadtree meshes are adapted to perform mesh refinement. The polygons with hanging nodes in the quadtree decomposition are treated as n−sided polygons within the framework of the SBFEM and do not require any special treatment in contrast to the conventional finite element method. Several benchmark problems are used to demonstrate the robustness and the efficacy of the proposed technique. The adaptive refinement strategy reduces the mesh burden when adopting the PFM to model fracture. Numerical results show an improvement in the computational efficiency in terms of the number of elements required in the standard PFM without compromising the accuracy of the solution. © 2019 Elsevier B.V.
About the journal
JournalData powered by TypesetComputer Methods in Applied Mechanics and Engineering
PublisherData powered by TypesetElsevier B.V.
ISSN00457825
Open AccessNo
Concepts (10)
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    Brittle fracture
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    Computational efficiency
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    Mesh generation
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    Phase transitions
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    ADAPTIVE PHASE
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    ERROR INDICATORS
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    FRACTURE PROCESS ZONE
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    QUAD-TREE DECOMPOSITION
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    SCALED BOUNDARY FINITE ELEMENT METHOD
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    Finite element method