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Phenomenological and numerical modelling of short fibre reinforced cementitious composites

  • Nonlinear Dynamics and Control of Composites for Smart Engi design
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Abstract

In this paper, a constitutive model for short fibre reinforced cementitious composites will be presented. This model is based on the St. Venant–Kirchhoff model, which is a special case of a hyperelastic material. This model is refined to include the fibre orientation distribution. Numerical FEM simulations with the developed constitutive model and fracture simulations using the discrete element method are presented. The outcomes of these numerical methods demonstrate how important it is to monitor and further to control the fibre orientation distribution during the manufacturing process. As the manufacturing process might involve casting, as, e.g., in the case of steel fibre reinforced concrete, an outlook on simulations of the manufacturing process in order to predict and to control the fibre orientation distribution is given.

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Acknowledgments

Supported by “The Doctoral Programme of the Built Environment” (RYM-TO) funded through the Academy of Finland and the Ministry of Education and the Estonian Ministry of Education and Research is gratefully acknowledged. Compiled with the assistance of the Tiger University Program of the Estonian Information Technology Foundation (VisPar system, EITSA Grants 10-03-00-24, 12-03-00-11 and 13030009). This research was supported by the European Union through the European Regional Development Fund, in particular through funding for the “Centre for Nonlinear Studies” as an Estonian national centre of excellence. Support by the German Academic Exchange Service in form of a DAAD-RISE Fellowship for V.B. is gratefully acknowledged.

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Authors and Affiliations

  1. Centre for Nonlinear Studies, Institute of Cybernetics at Tallinn University of Technology, Akadeemia tee 21, 12618, Tallinn, Estonia

    Heiko Herrmann & Marika Eik

  2. Institute for Mathematics, Faculty of Mathematics and Natural Sciences, University of Kassel, Heinrich-Plett-Straße 40, 34132, Kassel, Germany

    Viktoria Berg

  3. Department of Civil and Structural Engineering, Aalto University School of Engineering, Rakentajanaukio 4 A, Otaniemi, Espoo, Finland

    Marika Eik & Jari Puttonen

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  1. Heiko Herrmann
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Correspondence to Heiko Herrmann.

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Herrmann, H., Eik, M., Berg, V. et al. Phenomenological and numerical modelling of short fibre reinforced cementitious composites. Meccanica 49, 1985–2000 (2014). https://doi.org/10.1007/s11012-014-0001-3

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