An adaptive multiscale method for quasi-static crack growth
By P. Budarapu, R. Gracie, Stéphane P.A. Bordas, Timon Rabczuk. 2014
243 citations recorded by the source corpus.
This paper proposes an adaptive atomistic- continuum numerical method for quasi-static crack growth. The phantom node method is used to model the crack in the continuum region and a molecular statics model is used near the crack tip. To ensure self-consistency in the bulk, a virtual atom cluster is used to model the material of the coarse scale. The coupling between the coarse scale and fine scale is realized through ghost atoms. The ghost atom positions are interpolated from the coarse scale solution and enforced as boundary conditions on the fine scale. The fine scale region is adaptively enlarged as the crack propagates and the region behind the crack tip is adaptively coarsened. An energy criterion is used to detect the crack tip location. The triangular lattice in the fine scale region corresponds to the lattice structure of the (111) plane of an FCC crystal. The Lennard-Jones potential is used to model the atom–atom interactions. The method is implemented in two dimensions. The results are compared to pure atomistic simulations; they show excellent agreement.
Subfields: Materials Chemistry, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/3ff8c32079864f003d3da22a69a149a628bdaeff
How researchers see this paper
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In Materials Chemistry
In Mechanics of Materials
- Shuwei Zhou
- Xiaoying Zhuang
- Timon Rabczuk
- Stéphane P.A. Bordas
- Charles E. Augarde
- Trung Nguyen-Thoi
- Hong Zheng
- Ted Belytschko
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].”