Extended virtual element method for two-dimensional linear elastic fracture

DOI10.1016/j.cma.2021.114352OpenAlexW3214795639MaRDI QIDQ2072685

N. Sukumar, A. Chiozzi, Elena Benvenuti, Gianmarco Manzini

Publication date: 26 January 2022

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.04150

zbMATH Keywords

mixed-mode fracturecrack discontinuitypolygonal meshespartition-of-unity enrichmentcrack-tip singularityX-VEM

Mathematics Subject Classification ID

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) Theories of fracture and damage (74A45)

Related Items (8)

The virtual element method for solving two-dimensional fractional cable equation on general polygonal meshes ⋮ The virtual element method for a 2D incompressible MHD system ⋮ Preconditioned numerical manifold method for linear elastic fractures ⋮ A new family of semi-implicit finite volume/virtual element methods for incompressible flows on unstructured meshes ⋮ Improved XFEM (IXFEM): arbitrary multiple crack initiation, propagation and interaction analysis ⋮ A mixed virtual element method for nearly incompressible linear elasticity equations ⋮ VEM and the mesh ⋮ The virtual element method for the coupled system of magneto-hydrodynamics

Uses Software

• XFEM
• PolyMesher

Cites Work

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