Title:
Effect of Limestone on Electrical Properties of Cementitious Systems
Author(s):
W. Jason Weiss, O. Burkan Isgor, and Keshav Bharadwaj
Publication:
Materials Journal
Volume:
123
Issue:
2
Appears on pages(s):
19-30
Keywords:
durability; electrical resistivity; formation factor; limestone; porosity; portland-limestone cement (PLC)
DOI:
10.14359/51749381
Date:
3/1/2026
Abstract:
The composition of ordinary portland cement (OPC) changed in North America with the addition of ground limestone in 2004 (since the adoption of ASTM C150-04a), which reacts to form carboaluminate hydration products. This paper discusses the potential influence of limestone addition on the porosity, pore connectivity, formation factor, and electrical properties of cementitious systems. The carboaluminate reaction products can result in a system with limestone that has an equivalent water-powder ratio (w/p) approximately 0.07 lower than the system without limestone (occurring at the minimum porosity). When reactive alumina is added to the system, a greater amount of limestone reacts, and a reduction in porosity occurs. The carboaluminate phases impact the transport properties of mixtures to a greater extent for mixtures with moderately low w/p and aluminous supplementary cementitious materials (SCMs). This has implications for standards and specifications, which are based on historical research and testing using cements that do not contain limestone and therefore would have a higher porosity and lower formation factor than cements manufactured in the United States after approximately 2004 at the same w/p.
Related References:
1. Rogue, R. H., and Lerch, W., “Hydration of Portland Cement Compounds,” Industrial & Engineering Chemistry, V. 26, No. 8, 1934, pp. 837-847. doi: 10.1021/ie50296a007
2. Hawkins, P.; Tennis, P.; and Detwiler, R., “The Use of Limestone in Portland Cement: A State-of-the-Art Review,” Engineering Bulletin 227, American Cement Association, Washington, DC, 2005, 41 pp.
3. Tennis, P. D.; Thomas, M. D. A.; and Weiss, W. J., “State-of-the-Art Report on Use of Limestone in Cements at Levels of up to 15%,” PCA R&D SN3148, American Cement Association, Washington, DC, 2011, 78 pp.
4. ACA, “Reducing Carbon at the Cement Plant,” American Cement Association, Washington, DC, 2023.
5. Nadelman, E. I., and Kurtis, K. E., “Application of Powers’ Model to Modern Portland and Portland Limestone Cement Pastes,” Journal of the American Ceramic Society, V. 100, No. 9, Sept. 2017, pp. 4219-4231. doi: 10.1111/jace.14913
6. Matschei, T.; Lothenbach, B.; and Glasser, F. P., “The Role of Calcium Carbonate in Cement Hydration,” Cement and Concrete Research, V. 37, No. 4, Apr. 2007, pp. 551-558. doi: 10.1016/j.cemconres.2006.10.013
7. Matschei, T.; Herfort, D.; Lothenbach, B.; and Glasser, F. P., “Relationships of Cement Paste Mineralogy to Porosity and Mechanical Properties,” Proceedings of MHM 2007: International Conference on Modelling of Heterogeneous Materials with Applications in Construction and Biomedical Engineering, M. Jirásek, Z. Bittnar, and H. Mang, eds., Prague, Czech Republic, June 2007, pp 262-263.
8. Panesar, D. K., and Zhang, R., “Performance Comparison of Cement Replacing Materials in Concrete: Limestone Fillers and Supplementary Cementing Materials – A Review,” Construction and Building Materials, V. 251, Aug. 2020, Article No. 118866. doi: 10.1016/j.conbuildmat.2020.118866
9. Bharadwaj, K.; Isgor, O. B.; and Weiss, W. J., “Supplementary Cementitious Materials in Portland-Limestone Cements,” ACI Materials Journal, V. 119, No. 2, Mar. 2022, pp. 141-154. doi: 10.14359/51734356
10. Lothenbach, B.; Le Saout, G.; Gallucci, E.; and Scrivener, K., “Influence of Limestone on the Hydration of Portland Cements,” Cement and Concrete Research, V. 38, No. 6, June 2008, pp. 848-860. doi: 10.1016/j.cemconres.2008.01.002
11. De Weerdt, K.; Haha, M. B.; Le Saout, G.; Kjellsen, K. O.; Justnes, H.; and Lothenbach, B., “Hydration Mechanisms of Ternary Portland Cements Containing Limestone Powder and Fly Ash,” Cement and Concrete Research, V. 41, No. 3, Mar. 2011, pp. 279-291. doi: 10.1016/j.cemconres.2010.11.014
12. De Weerdt, K.; Kjellsen, K. O.; Sellevold, E.; and Justnes, H., “Synergy Between Fly Ash and Limestone Powder in Ternary Cements,” Cement and Concrete Composites, V. 33, No. 1, Jan. 2011, pp. 30-38. doi: 10.1016/j.cemconcomp.2010.09.006
13. Abrams, D. A., “Design of Concrete Mixtures,” Bulletin 1, Structural Materials Research Laboratory, Lewis Institute, Chicago, IL, May 1919, 20 pp.
14. Feret, M., “On the Compactness of Hydraulic Mortars,” Annales des Ponts et Chaussées, Mémoires et Documents, V. 4, Série 7, Semestre 2, 1892, pp. 5-164. (in French)
15. Mindess, S.; Young, J. F.; and Darwin, D., Concrete, second edition, Pearson Education, Inc., Upper Saddle River, NJ, 2003, 644 pp.
16. Mehta, P. K., and Monteiro, P. J. M., Concrete: Microstructure, Properties, and Materials, third edition, McGraw-Hill Professional, New Delhi, India, 2006, 675 pp.
17. Feldman, R. F., and Sereda, P. J., “Written Discussion of ‘Structures and Physical Properties of Cement Paste’ by George J. Verbeck and Richard H. Helmuth (Portland Cement Association, Skokie, Ill, U.S.A.),” Proceedings of the 5th International Symposium on the Chemistry of Cement, Tokyo, Japan, 1968, pp. 36-44.
18. Powers, T. C., “Structure and Physical Properties of Hardened Portland Cement Paste,” Journal of the American Ceramic Society, V. 41, No. 1, Jan. 1958, pp. 1-6. doi: 10.1111/j.1151-2916.1958.tb13494.x
19. Bentz, D. P., “Modeling the Influence of Limestone Filler on Cement Hydration Using CEMHYD3D,” Cement and Concrete Composites, V. 28, No. 2, Feb. 2006, pp. 124-129. doi: 10.1016/j.cemconcomp.2005.10.006
20. Holmes, N.; Kelliher, D.; and Tyrer, M., “Simulating Cement Hydration Using HYDCEM,” Construction and Building Materials, V. 239, Apr. 2020, Article No. 117811. doi: 10.1016/j.conbuildmat.2019.117811
21. Chiker, T., and Aggoun, S., “Limestone Powder and Silica Fume Performance on Slag-Blended PLC Plain and Self-Consolidating Mortars Properties,” Archives of Civil and Mechanical Engineering, V. 24, No. 1, Feb. 2024, Article No. 26. doi: 10.1007/s43452-023-00805-5
22. Cost, V. T.; Howard, I. L.; and Shannon, J., “Improving Concrete Sustainability and Performance with Use of Portland–Limestone Cement Synergies,” Transportation Research Record: Journal of the Transportation Research Board, V. 2342, No. 1, Jan. 2013, pp. 26-34. doi: 10.3141/2342-04
23. Bentz, D. P.; Sato, T.; de la Varga, I.; and Weiss, W. J., “Fine Limestone Additions to Regulate Setting in High Volume Fly Ash Mixtures,” Cement and Concrete Composites, V. 34, No. 1, Jan. 2012, pp. 11-17. doi: 10.1016/j.cemconcomp.2011.09.004
24. Tennis, P. D., “Chemical and Physical Characteristics of US Hydraulic Cements: 2014,” PCA R&D SN3284, American Cement Association, Washington, DC, 2016, 32 pp.
25. Bucher, B.; Radlinska, A.; and Weiss, J., “Preliminary Comments on Shrinkage and Shrinkage Cracking Behavior of Cement Systems that Contain Limestone,” NRMCA Concrete Technology Forum: Focus on Sustainable Development, Denver, CO, May 2008, 8 pp.
26. Bucher, B. E., “Shrinkage and Shrinkage Cracking Behavior of Cement Systems Containing Ground Limestone, Fly Ash, and Lightweight Synthetic Particles,” master’s thesis, Purdue University, West Lafayette, IN, 2009.
27. Barrett, T.; Sun, H.; Villani, C.; Barcelo, L.; and Weiss, J., “Early-Age Shrinkage Behavior of Portland Limestone Cement,” Concrete International, V. 36, No. 2, Feb. 2014, pp. 51-57.
28. Sellevold, E. J.; Bager, D. H.; Klitgaard Jensen, E.; and Knudsen, T., “Silica Fume Cement Paste—Hydration and Pore Structure,” 1982, pp. 19-50.
29. De la Varga, I.; Castro, J.; Bentz, D. P.; Zunino, F.; and Weiss, J., “Evaluating the Hydration of High Volume Fly Ash Mixtures Using Chemically Inert Fillers,” Construction and Building Materials, V. 161, Feb. 2018, pp. 221-228. doi: 10.1016/j.conbuildmat.2017.11.132
30. Brookbanks, P., “Properties of Fresh Concrete,” Performance of Limestone-Filled Cements: Proceedings of a Seminar of the Joint BRE/BCA/Cement Industry Working Party, Held at the Building Research Establishment, Garston, on 28 November 1989, Building Research Establishment, Garston, Watford, UK, 1993.
31. Schmidt, M., “Cement with Interground Additives - Capabilities and Environmental Relief, Part 1,” ZKG International, Edition B, V. 45, No. 2, 1992, pp. 64-69.
32. Schmidt, M., “Cement with Interground Additives – Capabilities and Environmental Relief, Part 2,” ZKG International, Edition B, V. 45, No. 6, 1992, pp. 296-301.
33. Moir, G., and Kelham, S., “Durability 1,” Performance of Limestone- Filled Cements: Proceedings of a Seminar of the Joint BRE/BCA/Cement Industry Working Party, Held at the Building Research Establishment, Garston, on 28 November 1989, Building Research Establishment, Garston, Watford, UK, 1993.
34. Tsivilis, S.; Voglis, N.; and Photou, J., “A Study of the Intergrinding of Clinker and Limestone,” Minerals Engineering, V. 12, No. 7, July 1999, pp. 837-840. doi: 10.1016/S0892-6875(99)00068-0
35. Tezuka, Y.; Gomes, D. Jr.; Martins, J. M.; and Djanikian, J. G., “Durability Aspects of Cements with High Limestone Filler Content,” Proceedings of the 9th International Congress on the Chemistry of Cement, New Delhi, India, 1992, pp. 53-59.
36. Barrett, T. J., “Performance of Portland Limestone Cements: Cements Designed to Be More Sustainable That Include up to 15% Limestone Addition,” master’s thesis, Purdue University, West Lafayette, IN, 2013.
37. Barrett, T. J.; Sun, H.; Nantung, T.; and Weiss, W. J., “Performance of Portland Limestone Cements,” Transportation Research Record: Journal of the Transportation Research Board, V. 2441, No. 1, Jan. 2014, pp. 112-120. doi: 10.3141/2441-15
38. Muni, H.; Dhandapani, Y.; Vignesh, K.; and Santhanam, M., “Anomalous Early Increase in Concrete Resistivity with Calcined Clay Binders,” Calcined Clays for Sustainable Concrete: Proceedings of the 3rd International Conference on Calcined Clays for Sustainable Concrete, S. Bishnoi, ed., Springer, Singapore, 2020, pp. 749-757.
39. Garcia, J. E.; Tiburzi, N. B.; Folliard, K. J.; and Drimalas, T., “Mechanical Properties and Electrical Resistivity of Portland Limestone Cement Concrete Systems Containing Greater than 15% Limestone and Supplementary Cementitious Materials,” Cement, V. 8, June 2022, Article No. 100026. doi: 10.1016/j.cement.2022.100026
40. Choudhary, A.; Ghantous, R. M.; Bharadwaj, K.; Opdahl, O. H.; Isgor, O. B.; and Weiss, W. J., “Electrical and Transport Properties of Cement Mortar Made Using Portland Limestone Cement,” Advances in Civil Engineering Materials, V. 11, No. 1, 2022, pp. 263-279. doi: 10.1520/ACEM20210119
41. Choudhary, A., “The Pozzolanic Reactivity Test and the Properties of Portland Limestone Cement,” PhD thesis, Oregon State University, Corvallis, OR, 2021.
42. Bharadwaj, K.; Chopperla, K. S. T.; Choudhary, A.; Glosser, D.; Ghantous, R. M.; Vasudevan, G. D.; Ideker, J. H.; Isgor, O. B.; Trejo, D.; and Weiss, W. J., “CALTRANS: Impact of the Use of Portland-Limestone Cement on Concrete Performance as Plain or Reinforced Material: Final Report,” Oregon State University, Corvallis, OR, 2021, 320 pp.
43. Qiao, C.; Moradllo, M. K.; Hall, H.; Ley, M. T.; and Weiss, W. J., “Electrical Resistivity and Formation Factor of Air-Entrained Concrete,” ACI Materials Journal, V. 116, No. 3, May 2019, pp. 85-93.
44. Archie, G. E., “The Electrical Resistivity Log as an Aid in Determining Some Reservoir Characteristics,” Transactions of the AIME, V. 146, No. 1, Dec. 1942, pp. 54-62.
45. Bharadwaj, K., “Towards the Development of Performance-Based Concrete Mixtures Made with Modern Cementitious Materials Using Thermodynamic Modeling,” PhD dissertation, Oregon State University, Corvallis, OR, 2022, 327 pp.
46. Bharadwaj, K.; Ghantous, R. M.; Sahan, F.; Isgor, O. B.; and Weiss, W. J., “Predicting Pore Volume, Compressive Strength, Pore Connectivity, and Formation Factor in Cementitious Pastes Containing Fly Ash,” Cement and Concrete Composites, V. 122, Sept. 2021, Article No. 104113. doi: 10.1016/j.cemconcomp.2021.104113
47. Bharadwaj, K.; Glosser, D.; Moradllo, M. K.; Isgor, O. B.; and Weiss, W. J., “Toward the Prediction of Pore Volumes and Freeze-Thaw Performance of Concrete Using Thermodynamic Modelling,” Cement and Concrete Research, V. 124, Oct. 2019, Article No. 105820. doi: 10.1016/j.cemconres.2019.105820
48. Matyka, M.; Khalili, A.; and Koza, Z., “Tortuosity-Porosity Relation in Porous Media Flow,” Physical Review E, V. 78, No. 2, Aug. 2008, Article No. 026306. doi: 10.1103/PhysRevE.78.026306
49. Garboczi, E. J., “Permeability, Diffusivity, and Microstructural Parameters: A Critical Review,” Cement and Concrete Research, V. 20, No. 4, July 1990, pp. 591-601. doi: 10.1016/0008-8846(90)90101-3
50. Snyder, K. A., “The Relationship Between the Formation Factor and the Diffusion Coefficient of Porous Materials Saturated with Concentrated Electrolytes: Theoretical and Experimental Considerations,” Concrete Science and Engineering, V. 3, No. 12, Dec. 2001, pp. 216-224.
51. Christensen, B. J.; Coverdale, T.; Olson, R. A.; Ford, S. J.; Garboczi, E. J.; Jennings, H. M.; and Mason, T. O., “Impedance Spectroscopy of Hydrating Cement‐Based Materials: Measurement, Interpretation, and Application,” Journal of the American Ceramic Society, V. 77, No. 11, Nov. 1994, pp. 2789-2804. doi: 10.1111/j.1151-2916.1994.tb04507.x
52. Whittington, H. W.; McCarter, J.; and Forde, M. C., “The Conduction of Electricity Through Concrete,” Magazine of Concrete Research, V. 33, No. 114, Mar. 1981, pp. 48-60. doi: 10.1680/macr.1981.33.114.48
53. Lothenbach, B.; Matschei, T.; Möschner, G.; and Glasser, F. P., “Thermodynamic Modelling of the Effect of Temperature on the Hydration and Porosity of Portland Cement,” Cement and Concrete Research, V. 38, No. 1, Jan. 2008, pp. 1-18. doi: 10.1016/j.cemconres.2007.08.017
54. Lothenbach, B., and Winnefeld, F., “Thermodynamic Modelling of the Hydration of Portland Cement,” Cement and Concrete Research, V. 36, No. 2, Feb. 2006, pp. 209-226. doi: 10.1016/j.cemconres.2005.03.001
55. Lothenbach, B., and Zajac, M., “Application of Thermodynamic Modelling to Hydrated Cements,” Cement and Concrete Research, V. 123, Sept. 2019, Article No. 105779. doi: 10.1016/j.cemconres.2019.105779
56. Kulik, D. A.; Wagner, T.; Dmytrieva, S. V.; Kosakowski, G.; Hingerl, F. F.; Chudnenko, K. V.; and Berner, U. R., “GEM-Selektor Geochemical Modeling Package: Revised Algorithm and GEMS3K Numerical Kernel for Coupled Simulation Codes,” Computational Geosciences, V. 17, No. 1, Feb. 2013, pp. 1-24. doi: 10.1007/s10596-012-9310-6
57. Wagner, T.; Kulik, D. A.; Hingerl, F. F.; and Dmytrieva, S. V., “GEM-Selektor Geochemical Modeling Package: TSolMod Library and Data Interface for Multicomponent Phase Models,” The Canadian Mineralogist, V. 50, No. 5, Oct. 2012, pp. 1173-1195. doi: 10.3749/canmin.50.5.1173
58. Parrot, L. J., and Killoh, D. C., “Prediction of Cement Hydration,” Proceedings of the British Ceramic Society, V. 35, 1984, pp. 41-53.
59. Glosser, D.; Isgor, O. B.; and Weiss, W. J., “Non-Equilibrium Thermodynamic Modeling Framework for Ordinary Portland Cement/Supplementary Cementitious Material Systems,” ACI Materials Journal, V. 117, No. 6, Nov. 2020, pp. 111-123.
60. Isgor, O. B.; Ideker, J.; Trejo, D.; Weiss, J.; Bharadwaj, K.; Choudhary, A.; Chopperla, K. S. T.; Glosser, D.; and Vasudevan, G., “Performance- Based Mixture Proportioning of Concrete Incorporating Off-Spec Fly Ash: Mixture Proportioning Method Development and Validation,” Electric Power Research Institute (EPRI), Inc., Palo Alto, CA, 2020, 78 pp.
61. Isgor, O. B., and Weiss, W. J., “Correction to: A Nearly Self- Sufficient Framework for Modelling Reactive-Transport Processes in Concrete,” Materials and Structures, V. 52, No. 6, Dec. 2019, Article No. 130. doi: 10.1617/s11527-019-1422-1
62. Bharadwaj, K.; Isgor, O. B.; and Weiss, W. J., “Pozzolanic Reactivity of Supplementary Cementitious Materials,” ACI Materials Journal, V. 120, No. 4, July 2023, pp. 63-76.
63. Glosser, D.; Choudhary, A.; Isgor, O. B.; and Weiss, W. J., “Investigation of Reactivity of Fly Ash and Its Effect on Mixture Properties,” ACI Materials Journal, V. 116, No. 4, July 2019, pp. 193-200.
64. Bharadwaj, K.; Isgor, O. B.; and Weiss, W. J., “A Simplified Approach to Determine the Pozzolanic Reactivity of Commercial Supplementary Cementitious Materials,” Concrete International, V. 44, No. 1, Jan. 2022, pp. 27-32.
65. Glosser, D.; Suraneni, P.; Isgor, O. B.; and Weiss, W. J., “Estimating Reaction Kinetics of Cementitious Pastes Containing Fly Ash,” Cement and Concrete Composites, V. 112, Sept. 2020, Article No. 103655. doi: 10.1016/j.cemconcomp.2020.103655
66. Lothenbach, B.; Kulik, D. A.; Matschei, T.; Balonis, M.; Baquerizo, L.; Dilnesa, B.; Miron, G. D.; and Myers, R. J., “Cemdata18: A Chemical Thermodynamic Database for Hydrated Portland Cements and Alkali-Activated Materials,” Cement and Concrete Research, V. 115, Jan. 2019, pp. 472-506. doi: 10.1016/j.cemconres.2018.04.018
67. Glosser, D.; Azad, V. J.; Suraneni, P.; Isgor, O. B.; and Weiss, W. J., “Extension of Powers-Brownyard Model to Pastes Containing Supplementary Cementitious Materials,” ACI Materials Journal, V. 116, No. 5, Sept. 2019, pp. 205-216. doi: 10.14359/51714466
68. Azad, V. J.; Suraneni, P.; Isgor, O. B.; and Weiss, W. J., “Interpreting the Pore Structure of Hydrating Cement Phases Through a Synergistic Use of the Powers-Brownyard Model, Hydration Kinetics, and Thermodynamic Calculations,” Advances in Civil Engineering Materials, V. 6, No. 1, Jan. 2017, pp. 1-17. doi: 10.1520/ACEM20160038
69. Bentz, D. P., and Garboczi, E. J., “Percolation of Phases in a Three-Dimensional Cement Paste Microstructural Model,” Cement and Concrete Research, V. 21, No. 2-3, Mar.-May 1991, pp. 325-344. doi: 10.1016/0008-8846(91)90014-9
70. Sant, G.; Bentz, D.; and Weiss, J., “Capillary Porosity Depercolation in Cement-Based Materials: Measurement Techniques and Factors Which Influence Their Interpretation,” Cement and Concrete Research, V. 41, No. 8, Aug. 2011, pp. 854-864. doi: 10.1016/j.cemconres.2011.04.006
71. Powers, T. C.; Copeland, L. E.; and Mann, H. M., “Capillary Continuity or Discontinuity in Cement Pastes,” Journal of the PCA Research and Development Laboratories, V. 1, No. 2, May 1959, pp. 38-48.
72. Garboczi, E. J., and Bentz, D. P., “Computer Simulation of the Diffusivity of Cement-Based Materials,” Journal of Materials Science, V. 27, No. 8, Apr. 1992, pp. 2083-2092. doi: 10.1007/BF01117921
73. Zhang, J., and Li, Z., “Application of GEM Equation in Microstructure Characterization of Cement-Based Materials,” Journal of Materials in Civil Engineering, ASCE, V. 21, No. 11, Nov. 2009, pp. 648-656. doi: 10.1061/(ASCE)0899-1561(2009)21:11(648)
74. Georget, F.; Lothenbach, B.; Wilson, W.; Zunino, F.; and Scrivener, K. L., “Stability of Hemicarbonate Under Cement Paste-Like Conditions,” Cement and Concrete Research, V. 153, Mar. 2022, Article No. 106692. doi: 10.1016/j.cemconres.2021.106692
75. Matschei, T.; Lothenbach, B.; and Glasser, F. P., “The AFm Phase in Portland Cement,” Cement and Concrete Research, V. 37, No. 2, Feb. 2007, pp. 118-130. doi: 10.1016/j.cemconres.2006.10.010
76. Weiss, W. J.; Isgor, O. B.; Ideker, J. H.; Bharadwaj, K.; Ghantous, R. M.; Rajabipour, F.; Gomez, E.; Kaladharan, G.; Lan, Y.-C.; Juenger, M. C. G.; Katz, L.; Zhu, T.; Zavattieri, P.; Wang, Y.; and Innis, A., “Development of Thermodynamic and Kinetic Simulation Tools and Testing Procedures for Enhanced Durability of Concrete Containing Industrial By-Products,” Oregon State University, Corvallis, OR, 2022.
77. Avet, F., and Scrivener, K., “Investigation of the Calcined Kaolinite Content on the Hydration of Limestone Calcined Clay Cement (LC3),” Cement and Concrete Research, V. 107, May 2018, pp. 124-135. doi: 10.1016/j.cemconres.2018.02.016
78. Scrivener, K.; Martirena, F.; Bishnoi, S.; and Maity, S., “Calcined Clay Limestone Cements (LC3),” Cement and Concrete Research, V. 114, Dec. 2018, pp. 49-56. doi: 10.1016/j.cemconres.2017.08.017
79. Sharma, M.; Bishnoi, S.; Martirena, F.; and Scrivener, K., “Limestone Calcined Clay Cement and Concrete: A State-of-the-Art Review,” Cement and Concrete Research, V. 149, Nov. 2021, Article No. 106564. doi: 10.1016/j.cemconres.2021.106564
80. Powers, T. C., and Brownyard, T. L., “Studies of the Physical Properties of Hardened Portland Cement Paste,” ACI Journal Proceedings, V. 43, No. 9, Titles 43-5a to 43-5g, Dec. 1946, pp. 101-992.
81. Brouwers, H. J. H., “The Work of Powers and Brownyard Revisited: Part 1,” Cement and Concrete Research, V. 34, No. 9, Sept. 2004, pp. 1697-1716. doi: 10.1016/j.cemconres.2004.05.031
82. Brouwers, H. J. H., “The Work of Powers and Brownyard Revisited: Part 2,” Cement and Concrete Research, V. 35, No. 10, Oct. 2005, pp. 1922-1936. doi: 10.1016/j.cemconres.2005.04.009
83. ASTM C150-04ae1, “Standard Specification for Portland Cement,” ASTM International, West Conshohocken, PA, 2004, 8 pp.
84. ACI Committee 211, “Standard Practice for Selecting Proportions for Normal, Heavyweight, and Mass Concrete (ACI 211.1-91) (Reapproved 2009),” American Concrete Institute, Farmington Hills, MI, 1991, 38 pp.
85. Hover, K. C., “Concrete Mixture Proportioning with Water- Reducing Admixtures to Enhance Durability: A Quantitative Model,” Cement and Concrete Composites, V. 20, No. 2-3, 1998, pp. 113-119. doi: 10.1016/S0958-9465(98)00002-X
86. Hover, K. C., “Concrete Design: Part II. Proportioning Water, Cement, and Air,” Civil Engineering News, V. 10, No. 9, 1998, pp. 56-59.
87. Hover, K., “Graphical Approach to Mixture Proportioning by ACI 211.1-91,” Concrete International, V. 17, No. 9, Sept. 1995, pp. 49-53.
88. Ozyildirim, C., and Halstead, W. J., “Optimum Mixture Proportions for Concretes Containing Fly Ash and Silica Fume,” Report No. FHWA/VA-91-R21, Virginia Transportation Research Council, Charlottesville, VA, June 1991, 30 pp.
89. ACI Committee 318, “Building Code Requirements for Structural Concrete (ACI 318-08) and Commentary (ACI 318R-08),” American Concrete Institute, Farmington Hills, MI, 2008, 473 pp.
90. Ramanathan, S.; Kasaniya, M.; Tuen, M.; Thomas, M. D. A.; and Suraneni, P., “Linking Reactivity Test Outputs to Properties of Cementitious Pastes Made with Supplementary Cementitious Materials,” Cement and Concrete Composites, V. 114, Nov. 2020, Article No. 103742. doi: 10.1016/j.cemconcomp.2020.103742