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Nonlocal models based on lower scale analyses


Discrete mesoscopic analysis of the fracture process in a heterogeneous material subjected to uniaxial tension.


Macroscopic continuum analysis of the fracture process of a compact tension test with a nonlocal damage-plastic model.


Linking surface roughness to width of fracture process zone.

We aim to develop macroscopic nonlocal models for the prediction of the nonlinear fracture process of quasibrittle geomaterials based on discrete mesoscale analysis.

Nonlocal damage models are based on the averaging of history variables and are used successfully as localisation limiters in the analysis of fracture of heterogeneous materials. However, at present the choice of the variable to be averaged, the form of the averaging operator and the length scale used for the averaging are not unique since they are determined based on inverse analysis. Furthermore, there is no consensus in the research community how the averaging operator should be formulated in the presence of geometric boundaries.

Therefore, we aim to develop a direct link between stochastic mesoscale models and macroscopic nonlocal models, which will help to reduce the ambiguity of existing models. We have analysed the fracture process in geomaterial with discrete mesoscale analysis in Grassl and Jirásek (2010), Grassl et al. (2012) and D. Grégoire et al.(2015). We also proposed a calibration strategy for the nonlocal averaging radius in Xenos et al. (2015).

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