Spatial convergence of crack nucleation using a cohesive finite‐element model on a pinwheel‐based mesh

By Katerina D. Papoulia, Stephen A. Vavasis, Pritam Ganguly. 2006

60 citations recorded by the source corpus.

How researchers see this paper

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

Polygonal finite elements for topology optimization: A unifying paradigm (2010, methodology): “[7] used a 2D pinwheel mesh with the isoperimetric property to ensure convergence of crack path, while Bolander and Saito [8] proposed fracture simulations on spring networks with random geometry that maximize directional isotropy for crack propagation.”
A comparative study on finite element methods for dynamic fracture (2008, background): “This could be remedied by much finer meshes or perhaps by special meshing schemes, such as that of Papoulia et al. [ 37 ].”
The cohesive element approach to dynamic fragmentation: the question of energy convergence (2007, background): “Convergence was observed for a special category of meshes referred to as pinwheel-based meshes [26].”
Cracking node method for dynamic fracture with finite elements (2009, unknown): “[27, 28] have also pointed out that errors occur due to the lack of continuity when cohesive laws are injected; this issue must also be considered in the use of XFEM with cohesive traction laws.”