Efficient coarse graining in multiscale modeling of fracture

By P. Budarapu, R. Gracie, S. Yang, Xiaoying Zhuang, Timon Rabczuk. 2014

247 citations recorded by the source corpus.

Abstract We propose a coarse-graining technique to reduce a given atomistic model into an equivalent coarse grained continuum model. The developed technique is tailored for problems involving complex crack patterns in 2D and 3D including crack branching and coalescence. Atoms on the crack surface are separated from the atoms not on the crack surface by employing the centro symmetry parameter. A rectangular grid is superimposed on the atomistic model. Atoms on the crack surface in each cell are used to estimate the equivalent coarse-scale crack surface of that particular cell. The crack path in the coarse model is produced by joining the approximated crack paths in each cell. The developed technique serves as a sound basis to study the crack propagation in multiscale methods for fracture.

Subfields: Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/bb0bdc40f0df0aee51d6eea0b0c97f3a573e9cfb

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In Mechanics of Materials

Citations in the corpus

Phase field modeling of quasi-static and dynamic crack propagation: COMSOL implementation and case studies (2018, background): “Particularly, when experiments are difficult, or even impossible to perform for studying certain type of crack propagation, researchers have to employ numerical approaches to predict complicated crack paths [3] such as those in multiple scales [4–8].”
Predicting the fracture toughness of PNCs: A stochastic approach based on ANN and ANFIS (2015, unknown): “Other effective computational methods to predict mechanical and fracture-related properties of polymer-matrix composites include meshfree approaches [7–11], finite element methods [11–17] or concurrent multiscale methods [18–24].”