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Deterministic and Statistical Size Effect in Plain Concrete

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Continuous and Discontinuous Modelling of Fracture in Concrete Using FEM

Part of the book series: Springer Series in Geomechanics and Geoengineering ((SSGG))

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Abstract

The numerical FE investigations of a deterministic and stochastic size effect in concrete beams of a similar geometry under three point bending were performed within an elasto-plasticity with a non-local softening. The FE analyses were carried out with four different sizes of notched and unnotched beams. Deterministic calculations were performed with a uniform distribution of the tensile strength. In turn, in stochastic calculations, the tensile strength took the form of random correlated spatial fields described by a truncated Gaussian distribution. In order to reduce the number of stochastic realizations without losing the calculation accuracy, Latin hypercube sampling was applied. The numerical outcomes were compared with the size effect law by Bažant and by Carpinteri.

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Authors and Affiliations

  1. Faculty of Civil and Environmental Engineering, Gdansk University of Technology, Narutowicza 11/12, Gdansk-Wrzeszcz, Poland

    Jacek Tejchman

  2. Faculty of Civil and Environmental Engineering, Gdansk University of Technology, Narutowicza 11/12, 80-233, Gdansk-Wrzeszcz, Poland

    Jerzy Bobiński

Authors
  1. Jacek Tejchman
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  2. Jerzy Bobiński
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Correspondence to Jacek Tejchman .

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Tejchman, J., Bobiński, J. (2013). Deterministic and Statistical Size Effect in Plain Concrete. In: Continuous and Discontinuous Modelling of Fracture in Concrete Using FEM. Springer Series in Geomechanics and Geoengineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28463-2_8

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  • DOI: https://doi.org/10.1007/978-3-642-28463-2_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28462-5

  • Online ISBN: 978-3-642-28463-2

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