Numerical Implementation of Phase-Field Models of Brittle Fracture (Q5013805)

scientific article; zbMATH DE number 7438126

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English	Numerical Implementation of Phase-Field Models of Brittle Fracture	scientific article; zbMATH DE number 7438126

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instance of

scholarly article

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title

Numerical Implementation of Phase-Field Models of Brittle Fracture (English)

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Modeling in Engineering Using Innovative Numerical Methods for Solids and Fluids

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publication date

2 December 2021

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zbMATH Keywords

irreversibility constraint

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iterative solution

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non-convex minimization

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elastic energy density function

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finite element method

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-030-37518-8_3

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cites work

Comparison of Phase-Field Models of Fracture Coupled with Plasticity

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Phase-field modeling of hydraulic fracture

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An Error-Oriented Newton/Inexact Augmented Lagrangian Approach for Fully Monolithic Phase-Field Fracture Propagation

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Phase field modelling of anisotropic crack propagation

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Phase-field modeling of brittle fracture with multi-level \textit{hp}-FEM and the finite cell method

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A Phase-Field Method for Propagating Fluid-Filled Fractures Coupled to a Surrounding Porous Medium

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A quasi-static phase-field approach to pressurized fractures

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Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations

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A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits

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Crack kinking in a variational phase-field model of brittle fracture with strongly anisotropic surface energy

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A line search assisted monolithic approach for phase-field computing of brittle fracture

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A variational model for fracture mechanics: Numerical experiments

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Approximation of a brittle fracture energy with a constraint of non-interpenetration

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AN ADAPTIVE FINITE ELEMENT APPROXIMATION OF A GENERALIZED AMBROSIO–TORTORELLI FUNCTIONAL

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An Adaptive Finite Element Approximation of a Variational Model of Brittle Fracture

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Regularized formulation of the variational brittle fracture with unilateral contact: numerical experiments

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A review on phase-field models of brittle fracture and a new fast hybrid formulation

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Phase-field modeling of brittle and ductile fracture in shells with isogeometric NURBS-based solid-shell elements

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Phase-field modeling of ductile fracture

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Approximation of functional depending on jumps by elliptic functional via t-convergence

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Anisotropic Mesh Adaptation for Crack Detection In Brittle Materials

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Anisotropic Adaptive Meshes for Brittle Fractures: Parameter Sensitivity

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Phase-field modeling of anisotropic brittle fracture including several damage mechanisms

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A phase-field formulation for fracture in ductile materials: finite deformation balance law derivation, plastic degradation, and stress triaxiality effects

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The variational formulation of brittle fracture: numerical implementation and extensions

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A higher-order phase-field model for brittle fracture: formulation and analysis within the isogeometric analysis framework

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Numerical implementation of the variational formulation for quasi-static brittle fracture

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The variational approach to fracture

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Numerical experiments in revisited brittle fracture

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Approximation of free-discontinuity problems

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Phase-field modeling of fracture in variably saturated porous media

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An approximation result for special functions with bounded deformation

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Revisiting brittle fracture as an energy minimization problem

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Regularized variational theories of fracture: a unified approach

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On penalization in variational phase-field models of brittle fracture

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VI. The phenomena of rupture and flow in solids

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Q3914338

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A primal-dual active set method and predictor-corrector mesh adaptivity for computing fracture propagation using a phase-field approach

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Phase-field description of brittle fracture in plates and shells

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The Primal-Dual Active Set Strategy as a Semismooth Newton Method

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Q3905599

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An assessment of the phase field formulation for crack growth

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A recursive multilevel trust region method with application to fully monolithic phase-field models of brittle fracture

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The variational approach to fracture mechanics. A practical application to the French Panthéon in Paris

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A variational model for fracture and debonding of thin films under in-plane loadings

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Phase-field modeling and simulation of fracture in brittle materials with strongly anisotropic surface energy

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An overview of the modelling of fracture by gradient damage models

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Validation simulations for the variational approach to fracture

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Phase field modeling of fracture in multi-physics problems. II: Coupled brittle-to-ductile failure criteria and crack propagation in thermo-elastic-plastic solids

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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

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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

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Phase-field modeling of a fluid-driven fracture in a poroelastic medium

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Phase field modeling of brittle fracture for enhanced assumed strain shells at large deformations: formulation and finite element implementation

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High-accuracy phase-field models for brittle fracture based on a new family of degradation functions

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Initiation of a periodic array of cracks in the thermal shock problem: A gradient damage modeling

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An augmented-Lagrangian method for the phase-field approach for pressurized fractures

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A high-order finite deformation phase-field approach to fracture

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Goal functional evaluations for phase-field fracture using PU-based DWR mesh adaptivity

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Modified Newton methods for solving fully monolithic phase-field quasi-static brittle fracture propagation

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A variationally consistent phase-field anisotropic damage model for fracture

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A phase-field approach to fracture coupled with diffusion

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A modification of the phase-field model for mixed mode crack propagation in rock-like materials

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Identifiers

zbMATH Open document ID

1481.74694

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DOI

10.1007/978-3-030-37518-8_3

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5013805