Coupling Fluid-Structure Interaction with Phase-Field Fracture: Modeling and a Numerical Example

DOI10.1007/978-3-319-39929-4_38zbMath1387.74117OpenAlexW2551598995MaRDI QIDQ3179683

Thomas Wick

Publication date: 19 December 2016

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-39929-4_38

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (1)

Coupling fluid-structure interaction with phase-field fracture

Uses Software

• deal.ii

Cites Work

• An augmented-Lagrangian method for the phase-field approach for pressurized fractures
• A phase-field description of dynamic brittle fracture
• The variational approach to fracture
• Lagrangian-Eulerian finite element formulation for incompressible viscous flows
• Numerical experiments in revisited brittle fracture
• An arbitrary Lagrangian-Eulerian finite element method for transient dynamic fluid-structure interactions
• Revisiting brittle fracture as an energy minimization problem
• A time-discrete model for dynamic fracture based on crack regularization
• Numerical implementation of the variational formulation for quasi-static brittle fracture
• On Time Discretizations of Fluid-Structure Interactions
• Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations
• An Unsymmetric-Pattern Multifrontal Method for Sparse LU Factorization
• A Monolithic FEM/Multigrid Solver for an ALE Formulation of Fluid-Structure Interaction with Applications in Biomechanics
• deal.II—A general-purpose object-oriented finite element library
• EXISTENCE OF SOLUTIONS TO A REGULARIZED MODEL OF DYNAMIC FRACTURE
• A quasi-static phase-field approach to pressurized fractures
• ARTIFICIAL BOUNDARIES AND FLUX AND PRESSURE CONDITIONS FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

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