A phase field approach to pressurized fractures using discontinuous Galerkin methods
From MaRDI portal
Publication:2229070
DOI10.1016/j.matcom.2016.11.001OpenAlexW2549291895MaRDI QIDQ2229070
Liesel Schumacher, Christian Engwer
Publication date: 19 February 2021
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2016.11.001
Computer science (68-XX) Game theory, economics, finance, and other social and behavioral sciences (91-XX)
Related Items
A comparative review of peridynamics and phase-field models for engineering fracture mechanics, IPACS: integrated phase-field advanced crack propagation simulator. An adaptive, parallel, physics-based-discretization phase-field framework for fracture propagation in porous media, A DG/CR discretization for the variational phase-field approach to fracture, A Γ-convergence result for fluid-filled fracture propagation, A modified combined active-set Newton method for solving phase-field fracture into the monolithic limit, An adaptive discontinuous finite volume element method for the Allen-Cahn equation, Phase-field implicit material point method with the convected particle domain interpolation for brittle-ductile failure transition in geomaterials involving finite deformation, Phase-field modeling through iterative splitting of hydraulic fractures in a poroelastic medium
Uses Software
Cites Work
- Unnamed Item
- An augmented-Lagrangian method for the phase-field approach for pressurized fractures
- An unfitted discontinuous Galerkin method for pore-scale simulations of solute transport
- Mathematical aspects of discontinuous Galerkin methods.
- A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits
- A phase-field description of dynamic brittle fracture
- The variational approach to fracture
- A generic grid interface for parallel and adaptive scientific computing. II: Implementation and tests in DUNE
- Approximation of free-discontinuity problems
- Numerical experiments in revisited brittle fracture
- A primal-dual active set method and predictor-corrector mesh adaptivity for computing fracture propagation using a phase-field approach
- An approximation result for special functions with bounded deformation
- Revisiting brittle fracture as an energy minimization problem
- Optimal approximations by piecewise smooth functions and associated variational problems
- The extended/generalized finite element method: An overview of the method and its applications
- Approximation of functional depending on jumps by elliptic functional via t-convergence
- Theory of Elasticity and Consolidation for a Porous Anisotropic Solid
- Truncated Nonsmooth Newton Multigrid Methods for Convex Minimization Problems
- THE PARTITION OF UNITY METHOD
- Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment
- A finite element method for crack growth without remeshing
- VI. The phenomena of rupture and flow in solids
- A quasi-static phase-field approach to pressurized fractures
- A method for multiple crack growth in brittle materials without remeshing
