Numerical Implementation of Phase-Field Models of Brittle Fracture
From MaRDI portal
Publication:5013805
DOI10.1007/978-3-030-37518-8_3zbMath1481.74694OpenAlexW3005136071MaRDI QIDQ5013805
Tymofiy Gerasimov, Laura De Lorenzis
Publication date: 2 December 2021
Published in: Modeling in Engineering Using Innovative Numerical Methods for Solids and Fluids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-37518-8_3
finite element methodnon-convex minimizationiterative solutionelastic energy density functionirreversibility constraint
Brittle fracture (74R10) Finite element methods applied to problems in solid mechanics (74S05) Energy minimization in equilibrium problems in solid mechanics (74G65)
Related Items
An assessment of anisotropic phase-field models of brittle fracture, An enriched phase-field method for the efficient simulation of fracture processes, Deterministic and stochastic phase-field modeling of anisotropic brittle fracture, Second-order phase-field formulations for anisotropic brittle fracture
Cites Work
- Unnamed Item
- Unnamed Item
- Goal functional evaluations for phase-field fracture using PU-based DWR mesh adaptivity
- Regularized variational theories of fracture: a unified approach
- A higher-order phase-field model for brittle fracture: formulation and analysis within the isogeometric analysis framework
- An augmented-Lagrangian method for the phase-field approach for pressurized fractures
- Initiation of a periodic array of cracks in the thermal shock problem: A gradient damage modeling
- A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits
- A high-order finite deformation phase-field approach to fracture
- A variational model for fracture and debonding of thin films under in-plane loadings
- The variational approach to fracture
- Regularized formulation of the variational brittle fracture with unilateral contact: numerical experiments
- The variational approach to fracture mechanics. A practical application to the French Panthéon in Paris
- A variational model for fracture mechanics: Numerical experiments
- Approximation of free-discontinuity problems
- Numerical experiments in revisited brittle fracture
- Phase-field modeling of a fluid-driven fracture in a poroelastic medium
- Phase field modelling of anisotropic crack propagation
- An overview of the modelling of fracture by gradient damage models
- Validation simulations for the variational approach to fracture
- A primal-dual active set method and predictor-corrector mesh adaptivity for computing fracture propagation using a phase-field approach
- Approximation of a brittle fracture energy with a constraint of non-interpenetration
- Phase-field modeling of fracture in variably saturated porous media
- An approximation result for special functions with bounded deformation
- Revisiting brittle fracture as an energy minimization problem
- Phase-field modeling of anisotropic brittle fracture including several damage mechanisms
- On penalization in variational phase-field models of brittle fracture
- A variationally consistent phase-field anisotropic damage model for fracture
- A review on phase-field models of brittle fracture and a new fast hybrid formulation
- Phase-field modeling of hydraulic fracture
- A recursive multilevel trust region method with application to fully monolithic phase-field models of brittle fracture
- High-accuracy phase-field models for brittle fracture based on a new family of degradation functions
- A phase-field formulation for fracture in ductile materials: finite deformation balance law derivation, plastic degradation, and stress triaxiality effects
- A phase-field approach to fracture coupled with diffusion
- A line search assisted monolithic approach for phase-field computing of brittle fracture
- Phase-field modeling of brittle and ductile fracture in shells with isogeometric NURBS-based solid-shell elements
- Phase-field description of brittle fracture in plates and shells
- A modification of the phase-field model for mixed mode crack propagation in rock-like materials
- Modified Newton methods for solving fully monolithic phase-field quasi-static brittle fracture propagation
- Phase-field modeling of ductile fracture
- Phase field modeling of brittle fracture for enhanced assumed strain shells at large deformations: formulation and finite element implementation
- Phase-field modeling of brittle fracture with multi-level \textit{hp}-FEM and the finite cell method
- Phase field modeling of fracture in multi-physics problems. III: Crack driving forces in hydro-poro-elasticity and hydraulic fracturing of fluid-saturated porous media
- Numerical implementation of the variational formulation for quasi-static brittle fracture
- An assessment of the phase field formulation for crack growth
- Phase field modeling of fracture in multi-physics problems. I: Balance of crack surface and failure criteria for brittle crack propagation in thermo-elastic solids
- Phase field modeling of fracture in multi-physics problems. II: Coupled brittle-to-ductile failure criteria and crack propagation in thermo-elastic-plastic solids
- Crack kinking in a variational phase-field model of brittle fracture with strongly anisotropic surface energy
- Phase-field modeling and simulation of fracture in brittle materials with strongly anisotropic surface energy
- Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations
- Approximation of functional depending on jumps by elliptic functional via t-convergence
- The Primal-Dual Active Set Strategy as a Semismooth Newton Method
- Comparison of Phase-Field Models of Fracture Coupled with Plasticity
- VI. The phenomena of rupture and flow in solids
- A quasi-static phase-field approach to pressurized fractures
- Anisotropic Adaptive Meshes for Brittle Fractures: Parameter Sensitivity
- A Phase-Field Method for Propagating Fluid-Filled Fractures Coupled to a Surrounding Porous Medium
- An Error-Oriented Newton/Inexact Augmented Lagrangian Approach for Fully Monolithic Phase-Field Fracture Propagation
- AN ADAPTIVE FINITE ELEMENT APPROXIMATION OF A GENERALIZED AMBROSIO–TORTORELLI FUNCTIONAL
- The variational formulation of brittle fracture: numerical implementation and extensions
- An Adaptive Finite Element Approximation of a Variational Model of Brittle Fracture
- Anisotropic Mesh Adaptation for Crack Detection In Brittle Materials
