An implicit geometrical approach to level sets update for 3D non planar X-FEM crack propagation

DOI10.1016/j.cma.2012.04.020zbMath1253.74090OpenAlexW2013255093MaRDI QIDQ695946

Daniele Colombo

Publication date: 17 December 2012

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.2012.04.020

zbMATH Keywords

level setscrack propagationgeometrical approachX-FEMimplicit description

Mathematics Subject Classification ID

Brittle fracture (74R10) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (5)

A stable generalized/extended \(p\)-hierarchical FEM for three-dimensional linear elastic fracture mechanics ⋮ 3D crack propagation with cohesive elements in the extended finite element method ⋮ A novel approach to compute the spatial gradients of enriching functions in the X-FEM with a hybrid representation of cracks ⋮ Arbitrary 3D crack propagation with improved XFEM: accurate and efficient crack geometries ⋮ A hybrid XFEM-phase field (\textit{Xfield}) method for crack propagation in brittle elastic materials

Uses Software

• Code_Aster

Cites Work

• Unnamed Item
• Fast and robust level set update for 3D non-planar X-FEM crack propagation modelling
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Numerical modelling of crack propagation: automatic remeshing and comparison of different criteria.
• A PDE-based fast local level set method
• A fast level set method for propagating interfaces
• Crack propagation with the extended finite element method and a hybrid explicit-implicit crack description
• A study of the representation of cracks with level sets
• Three-dimensional non-planar crack growth by a coupled extended finite element and fast marching method
• Vector level sets for description of propagating cracks in finite elements
• 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

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