A stable generalized/extended \(p\)-hierarchical FEM for three-dimensional linear elastic fracture mechanics
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Publication:2180494
DOI10.1016/j.cma.2020.112970zbMath1442.74237OpenAlexW3011329941MaRDI QIDQ2180494
A. G. Sanchez-Rivadeneira, N. Shauer, B. Mazurowski, C. Armando Duarte
Publication date: 14 May 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2020.112970
Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
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Uses Software
Cites Work
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- Large sliding contact along branched discontinuities with X-FEM
- Stable generalized finite element method (SGFEM)
- A simple and efficient preconditioning scheme for Heaviside enriched XFEM
- Stable enrichment and local preconditioning in the particle-partition of unity method
- An implicit geometrical approach to level sets update for 3D non planar X-FEM crack propagation
- Higher order tip enrichment of extended finite element method in thermoelasticity
- On the path independency of the point-wise \(J\) integral in three-dimensions
- Higher order stable generalized finite element method
- Generalized finite element method enrichment functions for curved singularities in 3D fracture mechanics problems
- Symmetric weak-form integral equation method for three-dimensional fracture analysis
- The partition of unity finite element method: basic theory and applications
- An extended finite element method with higher-order elements for curved cracks
- Discontinuous enrichment in finite elements with a partition of unity method
- Convergence analysis of linear or quadratic X-FEM for curved free boundaries
- Stable GFEM (SGFEM): improved conditioning and accuracy of GFEM/XFEM for three-dimensional fracture mechanics
- The orthonormalized generalized finite element method-OGFEM: efficient and stable reduction of approximation errors through multiple orthonormalized enriched basis functions
- A new cloud-based \(hp\) finite element method
- A stable generalized/extended FEM with discontinuous interpolants for fracture mechanics
- A stable discontinuity-enriched finite element method for 3-D problems containing weak and strong discontinuities
- A unified enrichment approach addressing blending and conditioning issues in enriched finite elements
- Robustness in stable generalized finite element methods (SGFEM) applied to Poisson problems with crack singularities
- Error-controlled adaptive extended finite element method for 3D linear elastic crack propagation
- A stable generalized finite element method (SGFEM) of degree two for interface problems
- Higher-order meshing of implicit geometries. II: Approximations on manifolds
- Strongly stable generalized finite element method: application to interface problems
- Simulation of the flow of a viscoelastic fluid around a stationary cylinder using an extended finite element method
- Stable generalized finite element method and associated iterative schemes; application to interface problems
- A stable and optimally convergent generalized FEM (SGFEM) for linear elastic fracture mechanics
- A stabilization technique for the regularization of nearly singular extended finite elements
- An improved stable XFEM (Is-XFEM) with a novel enrichment function for the computational modeling of cohesive cracks
- Modelling crack growth by level sets in the extended finite element method
- An interface-enriched generalized FEM for problems with discontinuous gradient fields
- hp-adaptive extended finite element method
- Crack propagation with the extended finite element method and a hybrid explicit-implicit crack description
- Improvements of explicit crack surface representation and update within the generalized finite element method with application to three-dimensional crack coalescence
- Universal meshes: A method for triangulating planar curved domains immersed in nonconforming meshes
- Extraction of stress intensity factors from Irwin's integral using high-order XFEM on triangular meshes
- A robust preconditioning technique for the extended finite element method
- Conditioning of finite element equations with arbitrary anisotropic meshes
- Strong and weak arbitrary discontinuities in spectral finite elements
- 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
- A conformal decomposition finite element method for modeling stationary fluid interface problems
- A study of the representation of cracks with level sets
- hp-Generalized FEM and crack surface representation for non-planar 3-D cracks
- Crack tip finite elements are unnecessary
- On the use of isoparametric finite elements in linear fracture mechanics
- On the Conditioning of Finite Element Equations with Highly Refined Meshes
- Elastic crack growth in finite elements with minimal remeshing
- Special Finite Element Methods for a Class of Second Order Elliptic Problems with Rough Coefficients
- THE PARTITION OF UNITY METHOD
- New crack‐tip elements for XFEM and applications to cohesive cracks
- Extended finite element method for three-dimensional crack modelling
- Non-planar 3D crack growth by the extended finite element and level sets-Part I: Mechanical model
- A finite element method for crack growth without remeshing
- On error estimator and p‐adaptivity in the generalized finite element method
- High-order extended finite element method for cracked domains
- A generalized finite element method for the simulation of three-dimensional dynamic crack propagation.
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