A locking-free and optimally convergent discontinuous-Galerkin-based extended finite element method for cracked nearly incompressible solids

DOI10.1016/j.cma.2014.01.017zbMath1296.74127OpenAlexW2078667564MaRDI QIDQ459126

Yongxing Shen, Adrian J. Lew

Publication date: 8 October 2014

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

Full work available at URL: https://docs.lib.purdue.edu/ses2014/mss/cfm/24

zbMATH Keywords

fracturelockingextended finite element methoddiscontinuous Galerkinnearly incompressiblelifting operator

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

A 3D locking-free XFEM formulation for the von Mises elasto-plastic analysis of cracks, Finite strain fracture analysis using the extended finite element method with new set of enrichment functions, Three-dimensional improved XFEM (IXFEM) for static crack problems, A higher-order Lagrangian discontinuous Galerkin hydrodynamic method for solid dynamics, Improved XFEM: accurate and robust dynamic crack growth simulation, Massive parallelization of the phase field formulation for crack propagation with time adaptivity

Uses Software

• XFEM

Cites Work

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