A spatially adaptive phase-field model of fracture

DOI10.1016/J.CMA.2022.114880OpenAlexW3200865099MaRDI QIDQ2142137

Michael Ortiz, Dhananjay Phansalkar, Kerstin Weinberg, Sigrid Leyendecker

Publication date: 27 May 2022

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.10175

zbMATH Keywords

brittle fractureadaptive mesh refinementphase-field modelspatial variation of the regularisation length

Mathematics Subject Classification ID

Brittle fracture (74R10)

Related Items (1)

An adaptive mesh refinement algorithm for phase-field fracture models: application to brittle, cohesive, and dynamic fracture

Uses Software

• FEniCS
• PhaseFieldFEniCS

Cites Work

• A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits
• From phase field to sharp cracks: Convergence of quasi-static evolutions in a special setting
• A phase-field description of dynamic brittle fracture
• The variational approach to fracture
• A phase-field approach to conchoidal fracture
• Ambrosio-Tortorelli approximation of quasi-static evolution of brittle fractures
• On the crack-driving force of phase-field models in linearized and finite elasticity
• A review on phase-field models of brittle fracture and a new fast hybrid formulation
• High-accuracy phase-field models for brittle fracture based on a new family of degradation functions
• A comparative accuracy and convergence study of eigenerosion and phase-field models of fracture
• A line search assisted monolithic approach for phase-field computing of brittle fracture
• Approximation of functional depending on jumps by elliptic functional via t-convergence
• A robust algorithm for configurational-force-driven brittle crack propagation with R-adaptive mesh alignment
• Discrete approximation of a free discontinuity problem

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