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An Improved Constitutive Model for Short Fibre Reinforced Cementitious Composites (SFRC) Based on the Orientation Tensor

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Generalized Continua as Models for Classical and Advanced Materials

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 42))

Abstract

Short fibre composites are becoming increasingly popular in many applications. This is also true for civil engineering, where short fibre cementitious composites are used more often. For the use in load bearing structures, a constitutive mapping is necessary to calculate the design load and to predict cracking behaviour. Here a constitutive mapping based on the use of isotropic tensor functions of the strain tensor and the orientation tensor is proposed. The model solves some issues of other approaches. A comparison with other constitutive mappings based on tensors is provided.

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Acknowledgments

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. The research was also supported by the Estonian Research Council grant PUT1146. I’d like to thank Marika Eik, Emiliano Pastorelli and Jari Puttonen for discussions and joint work on fibre orientation measurements and for the cooperation in developing the constitutive model based on the structural tensors (Eik et al. 2015b).

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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

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  1. Heiko Herrmann
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Correspondence to Heiko Herrmann .

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  1. Universität Magdeburg, Otto‐von‐Guericke, Magdeburg, Germany

    Holm Altenbach

  2. Mines ParisTech, Paris, France

    Samuel Forest

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Herrmann, H. (2016). An Improved Constitutive Model for Short Fibre Reinforced Cementitious Composites (SFRC) Based on the Orientation Tensor. In: Altenbach, H., Forest, S. (eds) Generalized Continua as Models for Classical and Advanced Materials. Advanced Structured Materials, vol 42. Springer, Cham. https://doi.org/10.1007/978-3-319-31721-2_10

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  • DOI: https://doi.org/10.1007/978-3-319-31721-2_10

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-31719-9

  • Online ISBN: 978-3-319-31721-2

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