Modeling dislocation by coupling Peierls-Nabarro and element-free Galerkin methods

DOI10.1016/j.cma.2006.10.007zbMath1173.74468OpenAlexW2029472124MaRDI QIDQ1033550

Christophe Denoual

Publication date: 6 November 2009

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.2006.10.007

zbMATH Keywords

dislocation dynamicsPeierls-Nabarro modelelement-free Galerkin methods

Mathematics Subject Classification ID

Micromechanical theories (74A60)

Related Items

Reduced ODE dynamics as formal relativistic asymptotics of a Peierls–Nabarro model ⋮ Dislocation dynamics: Short-time existence and uniqueness of the solution ⋮ On a new extended finite element method for dislocations: Core enrichment and nonlinear formulation

Cites Work

• Unnamed Item
• Unnamed Item
• Generalizing the finite element method: Diffuse approximation and diffuse elements
• Meshless methods: An overview and recent developments
• Treatment of material discontinuity in the element-free Galerkin method
• Finite strain discrete dislocation plasticity
• Element-free Galerkin method for wave propagation and dynamic fracture.
• Element-free Galerkin methods for dynamic fracture in concrete
• A generalized Peierls-Nabarro model for nonplanar screw dislocation cores
• DYNAMIC FRACTURE USING ELEMENT-FREE GALERKIN METHODS
• Surfaces Generated by Moving Least Squares Methods
• The Element Free Galerkin method for dynamic propagation of arbitrary 3-D cracks
• Element‐free Galerkin methods
• A variational boundary integral method for the analysis of 3‐D cracks of arbitrary geometry modelled as continuous distributions of dislocation loops
• A vector level set method and new discontinuity approximations for crack growth by EFG
• A finite element method for crack growth without remeshing
• Homogenization method for a discrete-continuum simulation of dislocation dynamics