A mesh-independent framework for crack tracking in elastodamaging materials through the regularized extended finite element method
From MaRDI portal
Publication:2666076
DOI10.1007/s00466-021-02016-2zbMath1480.74266OpenAlexW3161859152WikidataQ113326712 ScholiaQ113326712MaRDI QIDQ2666076
Nicola Orlando, Elena Benvenuti
Publication date: 22 November 2021
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-021-02016-2
finite element simulationcrack pathdamage evolution lawcontinuous-discontinuous transitiondamage band
Brittle fracture (74R10) Finite element methods applied to problems in solid mechanics (74S05) Brittle damage (74R05)
Related Items (2)
On the mechanics of strain localization in plasticity: isotropic and orthotropic, elasto- and rigid-plastic, associated and non-associated models ⋮ Extended virtual element method for two-dimensional linear elastic fracture
Cites Work
- Unnamed Item
- Unnamed Item
- Generalised functions of bounded deformation
- Damage integration in the strain space
- Gradient damage models: toward full-scale computations
- Mixed stabilized finite element methods in nonlinear solid mechanics. II: Strain localization
- A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits
- Damage growth modeling using the thick level set (TLS) approach: efficient discretization for quasi-static loadings
- A thermodynamically consistent nonlocal formulation for damaging materials
- A unified multifield formulation in nonlocal damage
- Embedded crack vs. smeared crack models: a comparison of elementwise discontinuous crack path approaches with emphasis on mesh bias
- Adaptive refinement for phase-field models of brittle fracture based on Nitsche's method
- The variational approach to fracture
- Modelling of cohesive crack growth in concrete structures with the extended finite element method
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- Computational inelasticity
- Modeling quasi-static crack growth with the extended finite element method. I: Computer implementation
- Numerical experiments in revisited brittle fracture
- A modified Gurson-type plasticity model at finite strains: formulation, numerical analysis and phase-field coupling
- An overview of the modelling of fracture by gradient damage models
- Ambrosio-Tortorelli approximation of quasi-static evolution of brittle fractures
- Existence theorem for a minimum problem with free discontinuity set
- Simulation of finite-width process zone in concrete-like materials by means of a regularized extended finite element model
- Revisiting brittle fracture as an energy minimization problem
- A review on phase-field models of brittle fracture and a new fast hybrid formulation
- An adaptive global-local approach for phase-field modeling of anisotropic brittle fracture
- An introduction to continuum mechanics
- Gradient damage \textit{vs} phase-field approaches for fracture: similarities and differences
- A line search assisted monolithic approach for phase-field computing of brittle fracture
- From diffuse damage to sharp cohesive cracks: a coupled XFEM framework for failure analysis of quasi-brittle materials
- Variationally consistent eXtended FE model for 3D planar and curved imperfect interfaces
- Mesh objective tensile cracking via a local continuum damage model and a crack tracking technique
- XFEM with equivalent eigenstrain for matrix-inclusion interfaces
- An assessment of the phase field formulation for crack growth
- A regularized XFEM framework for embedded cohesive interfaces
- Embedded crack model: I. Basic formulation
- Arbitrary discontinuities in finite elements
- A new method for modelling cohesive cracks using finite elements
- A level set based model for damage growth: The thick level set approach
- Asymptotic Analysis of Ambrosio--Tortorelli Energies in Linearized Elasticity
- Accuracy of three-dimensional analysis of regularized singularities
- A medial-axis-based model for propagating cracks in a regularised bulk
- Optimal approximations by piecewise smooth functions and associated variational problems
- Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations
- 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
- An extended FE strategy for transition from continuum damage to mode I cohesive crack propagation
- Crack propagation criteria in the framework of X-FEM-based structural analyses
- A corrected XFEM approximation without problems in blending elements
- Nonlocal Continuum Damage, Localization Instability and Convergence
- Elastic crack growth in finite elements with minimal remeshing
- THE PARTITION OF UNITY METHOD
- Vector level sets for description of propagating cracks in finite elements
- Which special functions of bounded deformation have bounded variation?
- A finite element method for crack growth without remeshing
- A critical comparison of nonlocal and gradient-enhanced softening continua
This page was built for publication: A mesh-independent framework for crack tracking in elastodamaging materials through the regularized extended finite element method
