On the use of scaled boundary shape functions in adaptive phase field modeling of brittle fracture Article Swipe

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Carolin Birk , Ajay Kumar Pasupuleti , Rama Assaf , Sundararajan Natarajan , Hauke Gravenkamp ·

YOU? · · 2024 · Open Access · · DOI: https://doi.org/10.1007/s00466-024-02529-6

This paper addresses the numerical modeling of brittle fracture using a phase field approach. We propose solving the coupled phase field / displacement problem by employing the scaled boundary finite element method, which facilitates the use of hierarchical meshes. An adaptive meshing approach based on this method is summarized. Contrary to existing applications of the scaled boundary finite element method in the context of phase field modeling, scaled boundary shape functions are employed in both staggered and monolithic solution schemes. The proposed methodology is verified considering two-dimensional benchmark problems. Very good agreement with finite element results of the force-displacement curves and crack paths is observed regardless of the solution scheme or meshing strategy.

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Brittle fracture Phase field models Computational Science and Engineering Boundary (topology) Phase (matter) Field (mathematics) Fracture (geology) Mechanics Brittleness Materials science Physics Mathematical analysis Mathematics Applied mathematics Composite material Pure mathematics Quantum mechanics

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Type: article
Language: en
Landing Page: https://doi.org/10.1007/s00466-024-02529-6
OA Status: hybrid
Cited By: 5
References: 44
Related Works: 10
OpenAlex ID: https://openalex.org/W4402498955

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DOI: https://doi.org/10.1007/s00466-024-02529-6

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Title: On the use of scaled boundary shape functions in adaptive phase field modeling of brittle fracture

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Language: en

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Publication year: 2024

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Publication date: 2024-09-12

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Authors: Carolin Birk, Ajay Kumar Pasupuleti, Rama Assaf, Sundararajan Natarajan, Hauke Gravenkamp

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Landing page: https://doi.org/10.1007/s00466-024-02529-6

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Concepts: Brittle fracture, Phase field models, Computational Science and Engineering, Boundary (topology), Phase (matter), Field (mathematics), Fracture (geology), Mechanics, Brittleness, Materials science, Physics, Mathematical analysis, Mathematics, Applied mathematics, Composite material, Pure mathematics, Quantum mechanics

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Cited by: 5

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cited_by_percentile_year.max	98
cited_by_percentile_year.min	97
countries_distinct_count	0
institutions_distinct_count	5
citation_normalized_percentile.value	0.84152924
citation_normalized_percentile.is_in_top_1_percent	False
citation_normalized_percentile.is_in_top_10_percent	False