A statistical model for mechanical properties based on the microstructure of concrete

Asko Sarja, Lasse Mörönen, Hannu Pyy

Research output: Book/ReportReport

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 languageEnglish
Place of PublicationEspoo
PublisherVTT Technical Research Centre of Finland
Number of pages32
ISBN (Print)951-38-3028-4
Publication statusPublished - 1987
MoE publication typeD4 Published development or research report or study

Publication series

SeriesValtion teknillinen tutkimuskeskus. Tutkimuksia - Research Reports
Number513
ISSN0358-5077

Fingerprint

mechanical property
microcrack
microstructure
crack
tensile strength
void
structural analysis
compressive strength
cement
test
analysis
distribution
material

Keywords

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

Cite this

Sarja, A., Mörönen, L., & Pyy, H. (1987). A statistical model for mechanical properties based on the microstructure of concrete. Espoo: VTT Technical Research Centre of Finland. Valtion teknillinen tutkimuskeskus. Tutkimuksia - Research Reports, No. 513
Sarja, Asko ; Mörönen, Lasse ; Pyy, Hannu. / A statistical model for mechanical properties based on the microstructure of concrete. Espoo : VTT Technical Research Centre of Finland, 1987. 32 p. (Valtion teknillinen tutkimuskeskus. Tutkimuksia - Research Reports; No. 513).
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Sarja, A, Mörönen, L & Pyy, H 1987, A statistical model for mechanical properties based on the microstructure of concrete. Valtion teknillinen tutkimuskeskus. Tutkimuksia - Research Reports, no. 513, VTT Technical Research Centre of Finland, Espoo.

A statistical model for mechanical properties based on the microstructure of concrete. / Sarja, Asko; Mörönen, Lasse; Pyy, Hannu.

Espoo : VTT Technical Research Centre of Finland, 1987. 32 p. (Valtion teknillinen tutkimuskeskus. Tutkimuksia - Research Reports; No. 513).

Research output: Book/ReportReport

TY - BOOK

T1 - A statistical model for mechanical properties based on the microstructure of concrete

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AU - Mörönen, Lasse

AU - Pyy, Hannu

PY - 1987

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N2 - 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.

AB - 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.

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M3 - Report

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T3 - Valtion teknillinen tutkimuskeskus. Tutkimuksia - Research Reports

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Sarja A, Mörönen L, Pyy H. A statistical model for mechanical properties based on the microstructure of concrete. Espoo: VTT Technical Research Centre of Finland, 1987. 32 p. (Valtion teknillinen tutkimuskeskus. Tutkimuksia - Research Reports; No. 513).