Development of methodology for studying the effect of temperature on the mechanical properties of concrete

This article is the first in a series of articles devoted to the generalization and analysis of numerous published materials on the study of mechanical properties of concrete during heating. The need to study the effect of heating temperature on the mechanical characteristics of concrete is due to the need for their use in applied practical calculation methods for assessing the fire resistance of structures. An idea is given about the scope of the available research programs, their accessibility and differences. The results of numerous and diverse studies of the strength and deformation characteristics of concrete are described, confirmed by special methods of studying the effects of temperature. Studies of the mechanical properties of concrete during heating were carried out using various testing methods, different types and compositions of concrete, which led to a wide variety of data, which makes it difficult to establish any patterns. The relationship between stresses and deformations for concrete during heating cannot be obtained from experiments in direct form, and a methodology is needed to determine the required characteristics. The conclusion is made about the need for standardization of test conditions, scientific generalization, structuring and analysis of the revealed variety of results of studying the mechanical properties of concrete during heating, which can explain existing patterns and predict new ones. 

1. Furamura F. Stress-strain Curve of Concrete at High Temperatures. Transactions of the Architectural Institute of Japan, Abstract No 7004. 1966. P. 686.

2. Baldwin R., North M.A. Stress-strain Curves of Concrete at High Temperature - A Review. Fire Research Station, Borehamwood, Herts. Note No.785. October 1969. 15 p.

3. Baldwin R., North M.A. A Stress-strain Relationship for Concrete at High Temperature. Magazine of Concrete Research. 1973. Vol. 25. Issue 85. Pp. 208-212. DOI: 10.1680/macr.1973.25.85.208

4. Smith G.M., Young L.E. Ultimate Flexural Analysis on Stress-Strain Curves for Cylinders. ACI Journal Proceedings. 1956. Vol. 53. Issue 12. Pp. 597-609. DOI: 10.14359/11531

5. Hognestad E. A Study of Combined Bending and Axial Load in Reinforced Concrete Members. Bulletin No. 399. University of Illinois Engineering, Experiment Station. Urbana, Illinois. 1951. 134 p.

6. Malhotra H.L. The effect of temperature on the compressive strength of concrete. Magazine of Concrete Research. 1956. Vol. 8. No. 3. Pp. 85-94.

7. Abrams M.S. Compressive Strength of Concrete at Temperatures to 1600°F. *ACI Special Publication SP-25 Temperature and Concrete*. American Concrete Institute. 1971. Pp. 33-58.

8. Cruz C.R. Apparatus for Measuring Creep of Concrete at Elevated Temperature. Journal of the PCA Research and Development Laboratories. Bulletin 225. Portland Cement Associations. 1968. Vol. 10. No. 3. Pp. 36-42.

9. *ACI 216R-89. Guide for Determining Fire Endurance of Concrete Elements*. American Concrete Institute, ACI Committee 216. Farmington Hills, Michigan, 1989. 48 p.

10. Hansen C.T., Eriksson L. Temperature Change Effect on Behavior of Cement Paste, Mortar, and Concrete under Load. ACI Journal Proceedings. 1966. Vol. 63. No. 4. Pp. 489-502.

11. Anderberg Y., Thelandersson S. *Stress and Deformation Characteristics of Concrete: Part 2 - Experimental Investigation and Material Behavior Model*. Bulletin 54. Lund Institute of Technology, Sweden. 1976. 85 p.

12. Schneider U. Ein Beitrag zur Frage des Kriechans und der Relaxation von Beton unter hohen Temperaturen. Habilitationsschrift. Heft 42. Technischen Universität Braunschweig. 1979. 180 p.

13. Schneider U. Behaviour of Concrete at High Temperature. HEFT 337. Deutscher Ausschuss für Stahlbeton. Wilhelm Ernst & Sohn, Munich, Germany, 1982.

14. Naus D.J. The Effect of Elevated Temperature on Concrete Materials and Structures - A Literature Review. U.S. Nuclear Regulatory Commission, Office of Nuclear Regulatory Research, Oak Ridge National Laboratory. Washington, DC. 2005. 204 p.

15. Naus D.J. A Compilation of Elevated Temperature Concrete Material Property Data and Information for Use in Assessments of Nuclear Power Plant Reinforced Concrete Structures. U.S. Nuclear Regulatory Commission, Office of Nuclear Regulatory Research, Oak Ridge National Laboratory. Washington, DC. 2010. 328 p.

16. Willam K., Xi Y., Lee K., Kim B. Thermal Response of Reinforced Concrete Structures in Nuclear Power Plants. SESM No. 02-2009. Department of Civil, Environmental, and Architectural Engineering, University of Colorado at Boulder. 2009. 210 p.

17. Knaack A.M., Kurama Y.C., Kirkner D.J. Stress-Strain Properties of Concrete under Elevated Temperatures. Structural Engineering Research Report University of Notre Dame (NDSE-09-01). Notre Dame, Indiana. 2009. 130 p.

18. Phan L.T., McAllister T.P., Gross J.L., Hurley M.J. Best Practice Guidelines for Structural Fire Resistance Design of Concrete and Steel Buildings. NIST Technical Note 1681. National Institute of Standards and Technology, Society of Fire Protection Engineers. 2010. 217 p.

19. Alogla S., Kodur V. Temperature-Induced Transient Creep Strain in Fiber-Reinforced Concrete. Cement and Concrete Composites. 2020. Vol. 113. 103719. doi: 10.1016/j.cemconcomp.2020.103719.

20. Yakovlev A.I. Raschet ognestoykosti stroitelnykh konstruktsiy [Calculation of Fire Resistance of Building Structures]. Moscow: Stroyizdat, 1988. 143 p. (rus).

21. Milovanov A.F. Stoykost zhelezobetonnykh konstruktsiy pri pozhare [Resistance of Reinforced Concrete Structures in Fire]. Moscow: Stroyizdat, 1998. 304 p. (rus).

22. Milovanov A.F., Zinoviev V.N. Deformatsii vysokoprochnogo betona pri kratkovremennom nagreve [Deformations of High-Strength Concrete under Short-Term Heating]. Beton i zhelezobeton. 1981. No. 9. (rus).

23. Milovanov A.F. Metody opredeleniya fiziko-mekhanicheskikh svoystv betona dlya usloviy pozhara [Methods for Determining Physical and Mechanical Properties of Concrete for Fire Conditions]. Puty povysheniya ognestoykosti stroitelnykh materialov i konstruktsiy: Materialy seminara MDNTP im. F.E. Dzerzhinskogo. Moscow: Znanie, 1982. Pp. 81-85. (rus).

24. Olimpiev V.G. O metodike issledovaniya prochnosti i deformativnosti betona pri vysokikh temperaturakh v usloviyakh pozhara [On the Methodology for Studying the Strength and Deformability of Concrete at High Temperatures under Fire Conditions]. Ognestoykost stroitelnykh konstruktsiy. Moscow: VNIIPO, 1973. Iss. 1. Pp. 44-64. (rus).

25. Olimpiev V.G., Zenkov N.I. Issledovanie prochnostnykh i deformativnykh svoystv tyazhelogo silikatnogo betona pri vozdeystvii vysokikh temperatur [Study of Strength and Deformation Properties of Heavy Silicate Concrete under High Temperatures]. Ognestoykost stroitelnykh konstruktsiy. Moscow: VNIIPO, 1975. Iss. 3. Pp. 24-36. (rus).

26. Olimpiev V.G., Zenkov N.I., Sorokin A.N. Issledovanie prochnosti i deformativnosti lyogkogo betona pri vysokikh temperaturakh [Study of Strength and Deformability of Lightweight Concrete at High Temperatures]. Ognestoykost stroitelnykh konstruktsiy. Moscow: VNIIPO, 1976. Iss. 4. Pp. 23-33. (rus).

27. Zenkov N.I., Zavismova L.M. Prochnost i deformativnost betona na granitnom zapolnitele pri deystvii vysokikh temperatur [Strength and Deformability of Granite Aggregate Concrete under High Temperatures]. Ognestoykost stroitelnykh konstruktsiy. Moscow: VNIIPO, 1977. Iss. 5. Pp. 88-94. (rus).

28. Franssen J.-M. Plastic Analysis of Concrete Structures Subjected to Fire. Proceedings of the Workshop Fire Design of Concrete Structures: What now? What next? Milano. 2005. Pp. 133-145.