Formulation of Mathematical Model for Stress-Strain Relationship of Normal and High Strength Concrete Under Compression

Author:

Sultan Wisam Hulail1,Hamza Dina Mukheef1

Affiliation:

1. 1 Civil Engineering Department , Mustansiriyah University , Baghdad , Iraq .

Abstract

Abstract The research includes a new model proposed for the stress-strain relationship of unconfined concrete in compression valid for normal and high strength concrete. A wide range of experimental data with varied lab circumstances has been used for fitting and other data for verifying the model. It is noted that the current model has a good agreement with the experimental data for both its ascending and descending branches in normal and high strength concrete depending on the mean of average values of experimental to calculated stresses, coefficient of variation, and difference ratio. Where values of the average experimental to calculated stresses ranged from 0.723 to 1.354 for 38 samples with a mean of 0.994, while the coefficient of variation values ranged from 16.099 to 48.562 with a mean of 27.704 % for these specimens. Also, difference ratio values ranged from 0.86 % to 31.804 % with a mean of 9.009 % for these specimens. The model gives the best results in comparison with other models.

Publisher

Walter de Gruyter GmbH

Reference19 articles.

1. JERGA, J. - KRAJČI, Ľ.: Damage in Concrete and its Detection by Use of Stress-Volumetric Strain Diagram. Civil and Environmental Engineering, Vol. 10, Iss. 1, 2014, pp. 16-25.

2. HOGNESTAD, E.: Study of combined bending and axial load in reinforced concrete members. University of Illinois at Urbana Champaign, College of Engineering, Engineering Experiment Station, 1951.

3. POPOVICS, S.: A numerical approach to the complete stress-strain curve of concrete. Cement and concrete research, 3(5), 1973, pp. 583-599.

4. CARREIRA, D. J. - CHU, K. H.: Stress-strain relationship for plain concrete in compression. in Journal Proceedings, 1985.

5. HSU, L. - HSU, C. T.: Complete stress—strain behaviour of high-strength concrete under compression. Magazine of concrete research, 46(169), 1994, pp. 301-312.

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