An extended finite element method with polygonal enrichment shape functions for crack propagation and stiff interfaceproblems

DOI10.1002/nme.6901OpenAlexW4200411495MaRDI QIDQ6089252

Unnamed Author, Milad Bybordiani, Daniel Dias-da-Costa, Unnamed Author

Publication date: 17 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.6901

zbMATH Keywords

discrete modelscrack propagationpolygonal finite elementtraction oscillation

Mathematics Subject Classification ID

Fracture and damage (74Rxx) Numerical and other methods in solid mechanics (74Sxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)

Cites Work

• A comparative study on the modelling of discontinuous fracture by means of enriched nodal and element techniques and interface elements
• Polygonal finite element methods for contact-impact problems on non-conformal meshes
• Coupling schemes for modeling hydraulic fracture propagation using the XFEM
• Computational methods for fracture in brittle and quasi-brittle solids: state-of-the-art review and future perspectives
• An explicit dynamics extended finite element method. I: Mass lumping for arbitrary enrichment functions
• Towards a generalization of a discrete strong discontinuity approach
• Extended finite element method on polygonal and quadtree meshes
• Analysis and applications of a generalized finite element method with global-local enrichment functions
• A rational finite element basis
• Numerical simulations of fast crack growth in brittle solids
• Non-homogeneous displacement jumps in strong embedded discontinuities.
• A polygonal finite element method for modeling arbitrary interfaces in large deformation problems
• The design and analysis of the generalized finite element method
• Strongly stable generalized finite element method (SSGFEM) for a non-smooth interface problem
• Improving the conditioning of XFEM/GFEM for fracture mechanics problems through enrichment quasi-orthogonalization
• Block coordinate descent energy minimization for dynamic cohesive fracture
• A stable discontinuity-enriched finite element method for 3-D problems containing weak and strong discontinuities
• A consistent finite element approach for dynamic crack propagation with explicit time integration
• Robust simulation of dynamic fluid-driven fracture in naturally fractured impermeable media
• A cracked zone clustering method for discrete fracture with minimal enhanced degrees of freedom
• Multi-material topology optimization considering interface behavior via XFEM and level set method
• Improved XFEM: accurate and robust dynamic crack growth simulation
• Robustness in stable generalized finite element methods (SGFEM) applied to Poisson problems with crack singularities
• On the stability and interpolating properties of the hierarchical interface-enriched finite element method
• Recent advances in the construction of polygonal finite element interpolants
• A stabilization technique for the regularization of nearly singular extended finite elements
• A new method for modelling cohesive cracks using finite elements
• An interface-enriched generalized FEM for problems with discontinuous gradient fields
• An embedded formulation with conforming finite elements to capture strong discontinuities
• Anomalous behavior of bilinear quadrilateral finite elements for modeling cohesive cracks with XFEM/GFEM
• A new formulation for imposing Dirichlet boundary conditions on non-matching meshes
• Partition of unity-based discontinuous elements for interface phenomena: computational issues
• The extended/generalized finite element method: An overview of the method and its applications
• The formation of equilibrium cracks during brittle fracture. General ideas and hypotheses. Axially-symmetric cracks
• Improved implementation and robustness study of the X-FEM for stress analysis around cracks
• Integration of singular enrichment functions in the generalized/extended finite element method for three-dimensional problems
• Analysis of three-dimensional fracture mechanics problems: A two-scale approach using coarse-generalized FEM meshes
• A corrected XFEM approximation without problems in blending elements
• Elastic crack growth in finite elements with minimal remeshing
• THE PARTITION OF UNITY METHOD
• Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment
• Enrichment of enhanced assumed strain approximations for representing strong discontinuities: addressing volumetric incompressibility and the discontinuous patch test
• On the numerical integration of interface elements
• A finite element method for crack growth without remeshing
• VI. The phenomena of rupture and flow in solids
• Efficient explicit time stepping for the eXtended Finite Element Method (X‐FEM)
• High-order extended finite element method for cracked domains
• Conforming polygonal finite elements
• A generalized finite element method for the simulation of three-dimensional dynamic crack propagation.
• Formulation of a triangular finite element with an embedded interface via isoparametric mapping

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