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Macroscopic constitutive 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.

Mesoscale modelling of fracture in fibre reinforced composites.

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

Nonlocal damage models, as an example, 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 constitutive 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 averaging radius in nonlocal models in Xenos et al. (2015). Recently, we performed 3D meso-scale analyses of fibre reinforced composites which we will be published soon.

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