A multiscale projection method for macro/microcrack simulations

By S. Loehnert, Ted Belytschko. 2007

179 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/3547858e1e68ad43c52e487adce91ffe90034970

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. J. Kim
2. Carlos Armando Duarte
3. J. Pereira
4. J. Plews
5. Dae-Jin Kim
6. Pedro Areias
7. Timon Rabczuk
8. Pedro P. Camanho

In Mechanics of Materials

1. Carlos Armando Duarte
2. J. Pereira
3. J. Kim
4. Dae-Jin Kim
5. J. Plews
6. Timon Rabczuk
7. Pedro Areias
8. Pedro P. Camanho

Citations in the corpus

• A new generalized finite element method for two‐scale simulations of propagating cohesive fractures in 3‐D (2015, methodology): “Other related methods which are more recent, include the multiscale projection method [51, 52], the FE(2) method based on a gradient-enhanced homogenization scheme [53], the multiscale aggregating discontinuity method [54], and the non-intrusive local/global coupling algorithm based on a multigrid X”
• Bridging multiple structural scales with a generalized finite element method (2015, methodology): “[8, 9] present the multiscale projection method, another example of a continuous–discontinuous homogenization scheme where the XFEM [10, 11] is used to incorporate discontinuities at the macro-scale.”
• A two-scale approach for the analysis of propagating three-dimensional fractures (2012, methodology): “A related method aimed at modeling interactions among multiple static cracks is the multiscale method of Loehnert and Belytschko [ 33 ].”
• Analysis of three‐dimensional fracture mechanics problems: A two‐scale approach using coarse‐generalized FEM meshes (2010, methodology): “Among the recent works, we can mention the method of Guidault et al. [36] based on the LATIN method and domain decomposition concepts; the multigrid method proposed in [61]; the method of Cloirec et al. [13] based on Lagrange multipliers; the multiscale projection method of Belytschko et al. [10, 4”
• Finite strain fracture of 2D problems with injected anisotropic softening elements (2014, background): “Total and partial remeshing approaches [25,32,10,18], versions of local displacement [47,46,41,57,44] (and strain [50,2,58]) enrichments, clique overlaps [38], edges repositioning or edge-based fracture with R-adaptivity [45]; Element erosion [63], smeared procedures [49], viscousregularized techniq”