Concepedia

Effects of the smoothness of partitions of unity on the quality of representation of singular enrichments for GFEM/XFEM stress approximations around brittle cracks

Diego Amadeu F. Torres, Clovis S. de Barcellos, Paulo de Tarso R. Mendonça

Computer Methods in Applied Mechanics and Engineering · 2014 · 15 citations · 74 references

Concepts

EngineeringMaterials EngineeringMaterials ScienceComputational Materials ScienceFinite Element MethodsMechanical Behavior Of MaterialsBrittle Failure Of RockDamage MechanicsFracture MechanicsFracture PropagationFracture ResistanceFracture ToughnessCrack Tip Stress FieldCracksFracture ModelingFracture Propagation Analysis

References

74

A finite element method for crack growth without remeshing

Nicolas Mo�s, John E. Dolbow, Ted Belytschko · International Journal for Numerical Methods in Engineering · 1999 · 6.2K citations · Full text

Engineering, Computational Engineering, Mechanical Engineering +17

Element‐free Galerkin methods

Ted Belytschko, Ye Lu, Linxia Gu · International Journal for Numerical Methods in Engineering · 1994 · 5.6K citations

Computing, Computational Engineering, Computational Mechanics +15

A two-dimensional interpolation function for irregularly-spaced data

Donald S. Shepard · 1968 · 5K citations

Computing, Geography, Meteorology +9

Elastic crack growth in finite elements with minimal remeshing

Ted Belytschko, T. Howard Black · International Journal for Numerical Methods in Engineering · 1999 · 4.7K citations

Engineering, Computational Engineering, Mechanical Engineering +17

The partition of unity finite element method: Basic theory and applications

Jens Markus Melenk, Ivo Babuška · Computer Methods in Applied Mechanics and Engineering · 1996 · 3.4K citations

Computing, Computational Engineering, Computational Mechanics +13