The simple shifted fracture method

DOI10.1002/nme.7232OpenAlexW4327618476MaRDI QIDQ6082498

Antonio Rodríguez-Ferran, Guglielmo Scovazzi, Kangan Li

Publication date: 29 November 2023

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.7232

zbMATH Keywords

linear elasticityextended finite element methodembedded methodapproximate boundary conditionshifted boundary methodshifted interface method

Mathematics Subject Classification ID

Brittle fracture (74R10) Finite element methods applied to problems in solid mechanics (74S05) Numerical and other methods in solid mechanics (74S99)

Related Items (2)

Complex-geometry simulations of transient thermoelasticity with the shifted boundary method ⋮ A penalty-free shifted boundary method of arbitrary order

Cites Work

• Unnamed Item
• Unnamed Item
• The issues of the uniqueness and the stability of the homogeneous response in uniaxial tests with gradient damage models
• A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits
• A phase-field description of dynamic brittle fracture
• A robust Nitsche's formulation for interface problems
• The shifted boundary method for hyperbolic systems: embedded domain computations of linear waves and shallow water flows
• Adaptive refinement for phase-field models of brittle fracture based on Nitsche's method
• Analysis and applications of a generalized finite element method with global-local enrichment functions
• The variational approach to fracture
• A comparative study on finite element methods for dynamic fracture
• Analysis of an efficient finite element method for embedded interface problems
• Modelling of cohesive crack growth in concrete structures with the extended finite element method
• A finite element method for localized failure analysis
• A finite element with embedded localization zones
• Discontinuous failure analysis for mode-I and mode-II localization problems
• Numerical simulations of fast crack growth in brittle solids
• The partition of unity finite element method: basic theory and applications
• An analysis of strong discontinuities in multiplicative finite strain plasticity and their relation with the numerical simulation of strain localization in solids
• Computational modelling of impact damage in brittle materials
• Geometrically nonlinear and consistently linearized embedded strong discontinuity models for 3D problems with an application to the dissection analysis of soft biological tissues.
• Numerical experiments in revisited brittle fracture
• Discontinuous enrichment in finite elements with a partition of unity method
• An overview of the modelling of fracture by gradient damage models
• A local moving extended phase field method (LMXPFM) for failure analysis of brittle materials
• Analysis of the shifted boundary method for the Stokes problem
• The shifted boundary method for embedded domain computations. I: Poisson and Stokes problems
• The shifted boundary method for embedded domain computations. II: Linear advection-diffusion and incompressible Navier-Stokes equations
• A review on phase-field models of brittle fracture and a new fast hybrid formulation
• The second-generation shifted boundary method and its numerical analysis
• A combined XFEM phase-field computational model for crack growth without remeshing
• A weighted shifted boundary method for free surface flow problems
• The high-order shifted boundary method and its analysis
• High-order gradients with the shifted boundary method: an embedded enriched mixed formulation for elliptic PDEs
• A hybrid XFEM-phase field (\textit{Xfield}) method for crack propagation in brittle elastic materials
• A new method for modelling cohesive cracks using finite elements
• Universal meshes: A method for triangulating planar curved domains immersed in nonconforming meshes
• Simulating curvilinear crack propagation in two dimensions with universal meshes
• A robust Nitsche's formulation for interface problems with spline-based finite elements
• Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations
• Finite elements with displacement interpolated embedded localization lines insensitive to mesh size and distortions
• Analysis of three-dimensional crack initiation and propagation using the extended finite element method
• Crack propagation criteria in the framework of X-FEM-based structural analyses
• An efficient finite element method for embedded interface problems
• A bubble-stabilized finite element method for Dirichlet constraints on embedded interfaces
• Finite elements with embedded strong discontinuities for the modeling of failure in solids
• Finite-deformation irreversible cohesive elements for three-dimensional crack-propagation analysis
• Elastic crack growth in finite elements with minimal remeshing
• THE PARTITION OF UNITY METHOD
• Embedded representation of fracture in concrete with mixed finite elements
• A finite element method for crack growth without remeshing
• Analysis of the shifted boundary method for the Poisson problem in domains with corners
• A generalized finite element method for the simulation of three-dimensional dynamic crack propagation.

This page was built for publication: The simple shifted fracture method