Adaptive numerical integration of exponential finite elements for a phase field fracture model

DOI10.1007/S00466-020-01964-5zbMath1490.74109OpenAlexW3127977191WikidataQ113326771 ScholiaQ113326771MaRDI QIDQ2241855

Charlotte Kuhn, Alexander Schlüter, Darius Olesch, Ralf Mueller

Publication date: 9 November 2021

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-020-01964-5

zbMATH Keywords

finite element methodenergy densityfour-node elementlinear elastic fractureexponential shape functionhigher-order Gauss-Legendre numerical integration

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Brittle fracture (74R10) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (1)

Accelerated high-cycle phase field fatigue predictions

Uses Software

• FEAPpv

Cites Work

• Unnamed Item
• Double exponential formulas for numerical integration
• Numerical experiments in revisited brittle fracture
• Revisiting brittle fracture as an energy minimization problem
• Phase-field modeling of ductile fracture
• Phase-field modeling of brittle fracture with multi-level \textit{hp}-FEM and the finite cell method
• A time-discrete model for dynamic fracture based on crack regularization
• Numerical implementation of the variational formulation for quasi-static brittle fracture
• A phase field model of dynamic fracture: Robust field updates for the analysis of complex crack patterns
• A Comparison of Three High-Precision Quadrature Schemes

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