### Abstract

The aim of the present study was to develop a statistical
model for the static strength of concrete, which would be
based on the Optical micro-structural analysis of
concrete. The composition of concrete was analysed
optically and modelled as a composite material using the
statistical theory of combined parallel and serial
systems of basic elements.
Concrete is modelled as a composite material consisting
of aggregate particles, cement paste and voids. The voids
include pores larger than 15 my m in diameter and
microcracks over 15 my m in length. The length of
microcracks is modelled as a fictive crack corresponding
to the modified Griffith's theory. The pores are also
modelled as fictive cracks in accordance with the method
of Bache.
The location of the cracks is modelled statistically
against the Poisson distribution. The random distribution
of the crack direction has been taken into account in the
model.
The compressive and bending tensile strengths of six test
specimens were calculated with the model of combined
parallel and serial systems, using the results of optical
microstructural analysis of the samples. The calculated
values were compared with the test results. The deviation
of the calculated values from the test resuIts varied
from 2.5 % to 17 % (mean 6 %) in the case of compressive
strength and from 0 % to 26 % (mean 10 %) in the case of
bending tensile strength. The greatest source of error
was the approximative optical analysis of the
microcracks, which is to undergo further development.

Original language | English |
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Place of Publication | Espoo |

Publisher | VTT Technical Research Centre of Finland |

Number of pages | 32 |

ISBN (Print) | 951-38-3028-4 |

Publication status | Published - 1987 |

MoE publication type | D4 Published development or research report or study |

### Publication series

Series | Valtion teknillinen tutkimuskeskus. Tutkimuksia - Research Reports |
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Number | 513 |

ISSN | 0358-5077 |

### Keywords

- concrete
- microstructure
- mechanical properties
- statistical analysis
- tensile strength
- compressive strength

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## Cite this

Sarja, A., Mörönen, L., & Pyy, H. (1987).

*A statistical model for mechanical properties based on the microstructure of concrete*. VTT Technical Research Centre of Finland. Valtion teknillinen tutkimuskeskus. Tutkimuksia - Research Reports, No. 513