Abstract
Porous concrete (PC) is considered a promising paving material due to its eco-friendly and multi-functional characteristics. Compressive strength and coefficient of permeability are two key performance parameters of PC, but limited research has been conducted so far on their mutual relationship. In this paper, PC with three target porosities (15%, 20% and 25%) were prepared and 10 water–cement ratios between 0.2 and 0.4 were designed for each target porosity. After the samples were cured, the porosity and permeability coefficients were tested, followed by the compressive strength test. The porosity, permeability coefficient, and compressive strength characteristics of PC and their interrelationships were analyzed based on the test results. Moreover, a mathematical model is developed to characterize the relationship between compressive strength and permeability coefficient by analyzing empirical results and theoretical derivations. The results show that the effective porosity approaches the target porosity when the water–binder ratio (w/b) is in the range of 0.26–0.34. The strength and permeability of the PC can be both maintained at a high level when the effective porosity is in the range of 18–21%. Specifically, the PC may lose its water permeability by sealing the bottom with a w/b of 0.4 or more. Moreover, a new empirical model for the compressive strength and permeability coefficient of PC is established based on Griffith’s fracture theory. The model proposed presents a better agreement with the experimental data and could provide a better prediction of the compressive strength of PC by selecting the appropriate parameters. This research enriches the performance prediction model of PC and provides a basis and reference for PC material design and objective optimization.
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References
Azad A, Mousavi S-F, Karami H, Farzin S (2019) Application of talc as an eco-friendly additive to improve the structural behavior of porous concrete, iranian journal of science and technology-transactions of. Civ Eng 43:443–453
Chen X, Wang H, Najm H, Venkiteela G, Hencken J (2019) Evaluating engineering properties and environmental impact of pervious concrete with fly ash and slag. J Clean Prod 237:117714
Kevern JT, Biddle D, Cao Q (2015) Effects of macrosynthetic fibers on pervious concrete properties. J Mater Civ Eng 27(9):06014031
Putman BJ, Neptune AI (2011) Comparison of test specimen preparation techniques for pervious concrete pavements. Constr Build Mater 25(8):3480–3485
Joshaghani A, Ramezanianpour AA, Ataei O, Golroo A (2015) Optimizing pervious concrete pavement mixture design by using the Taguchi method. Constr Build Mater 101:317–325
Bilal H, Chen T, Ren M, Gao X, Su A (2021) Influence of silica fume, metakaolin & SBR latex on strength and durability performance of pervious concrete. Constr Build Mater 275:122124
Gogo-Abite I, Chopra M, Uju I (2014) Evaluation of mechanical properties and structural integrity for pervious concrete pavement systems. J Mater Civ Eng 26(6):06014006
Rodin H, Rangelov M, Nassiri S, Englund K (2018) Enhancing mechanical properties of pervious concrete using carbon fiber composite reinforcement. J Mater Civ Eng 30(3):04018012
Azad A, Mousavi S-F, Karami H, Farzin S, Rezaifar O, Kheyroddin A, Singh VP (2020) Properties of metakaolin-based green pervious concrete cured in cold and normal weather conditions. Eur J Environ Civ Eng 26:2074
Azad A, Saeedian A, Mousavi S-F, Karami H, Farzin S, Singh VP (2020) Effect of zeolite and pumice powders on the environmental and physical characteristics of green concrete filters. Constr Build Mater 240:117931
Golroo A, Tighe SL (2012) Pervious concrete pavement performance modeling using the bayesian statistical technique. J Transp Eng 138(5):603–609
Song H, Yao J, Luo Y, Gui F (2021) A chemical-mechanics model for the mechanics deterioration of pervious concrete subjected to sulfate attack. Constr Build Mater 312:125383
Tordesillas A, Kahagalage S, Ras C, Nitka M, Tejchman J (2020) Early prediction of macrocrack location in concrete, rocks and other granular composite materials. Sci Rep 10(1):20268
Griffith AA (1921) The phenomena of rupture and flow in solids. Philos Trans R Soc 221(582–593):163–198
Yin B, Kaliske M (2020) A ductile phase -field model based on degrading the fracture toughness: Theory and implementation at small strain. Comput Methods Appl Mech Eng 366:113068
Wang F, Sun C (2023) Effect of pore structure on compressive strength and permeability of planting recycled concrete. Constr Build Mater 394:132167
Muehlich U, Zybell L, Huetter G, Kuna M (2013) A first-order strain gradient damage model for simulating quasi-brittle failure in porous elastic solids. Arch Appl Mech 83(6):955–967
Choubey RK, Kumar S, Rao MC (2016) Modeling of fracture parameters for crack propagation in recycled aggregate concrete. Constr Build Mater 106:168–178
Ibrahim A, Mahmoud E, Yamin M, Patibandla VC (2014) Experimental study on Portland cement pervious concrete mechanical and hydrological properties. Constr Build Mater 50:524–529
Liu H, Luo G, Wei H, Yu H (2018) Strength, permeability, and freeze-thaw durability of pervious concrete with different aggregate sizes, porosities, and water-binder ratios. Appl Sci 8(8):1217
Sumanasooriya MS, Neithalath N (2011) Pore structure features of pervious concretes proportioned for desired porosities and their performance prediction. Cem Concr Compos 33(8):778–787
Akkaya A, Çağatay İH (2021) Investigation of the density, porosity, and permeability properties of pervious concrete with different methods. Constr Build Mater 294:123539
Lian C, Zhuge Y, Beecham S (2011) The relationship between porosity and strength for porous concrete. Constr Build Mater 25(11):4294
Nassiri S, AlShareedah O (2017) Preliminary procedure for structural design of pervious concrete pavements. In: Washington (State). Dept. of Transportation. Research Office
Ćosić K, Korat L, Ducman V, Netinger I (2015) Influence of aggregate type and size on properties of pervious concrete. Constr Build Mater 78:69–76
Fu TC, Yeih W, Chang JJ, Huang R (2014) The influence of aggregate size and binder material on the properties of pervious concrete. Adv Mater Sci Eng. https://doi.org/10.1155/2014/963971
Ghashghaei HT, Hassani A (2016) Investigating the relationship between porosity and permeability coefficient for pervious concrete pavement by statistical modelling. Mater Sci Appl 7(2):7
Zhang J, Ma GD, Ming RP, Cui XZ, Li L, Xu HN (2018) Numerical study on seepage flow in pervious concrete based on 3D CT imaging. Constr Build Mater 161:468–478
Lederle R, Shepard T, Meza VD (2020) Comparison of methods for measuring infiltration rate of pervious concrete. Constr Build Mater 244:118339
Amini K, Wang X, Delatte N (2018) Statistical modeling of hydraulic and mechanical properties of pervious concrete using nondestructive tests. J Mater Civ Eng 30(6):04018077
Cui X, Zhang J, Huang D, Liu Z, Hou F, Cui S, Zhang L, Wang Z (2017) Experimental study on the relationship between permeability and strength of pervious concrete. Am Soc Civ Eng 29(11):04017217
Sun J, Zhang J, Gu Y, Huang Y, Sun Y, Ma G (2019) Prediction of permeability and unconfined compressive strength of pervious concrete using evolved support vector regression. Constr Build Mater 207:440–449
Chen S, Zhao Y, Bie Y (2020) The prediction analysis of properties of recycled aggregate permeable concrete based on back-propagation neural network. J Clean Prod 276:124187
Qu G, Zheng M, Wang X, Zhu R, Su Y, Chang G (2023) A freeze-thaw damage evolution equation and a residual strength prediction model for porous concrete based on the weibull distribution function. J Mater Civ Eng 35(5):04023074
Test method of fluidity of cement mortar, Beijing, China, 2005
Sata V, Wongsa A, Chindaprasirt P (2013) Properties of pervious geopolymer concrete using recycled aggregates. Constr Build Mater 42:33–39
Joshi T, Dave U (2016) Evaluation of strength, permeability and void ratio of pervious concrete with changing W/C ratio and aggregate size. Int J Civ Eng Technol 7(4):276–284
Bhutta MAR, Tsuruta K, Mirza J (2012) Evaluation of high-performance porous concrete properties. Constr Build Mater 31:67–73
Chu S (2019) Effect of paste volume on fresh and hardened properties of concrete. Constr Build Mater 218:284–294
Chindaprasirt P, Hatanaka S, Chareerat T, Mishima N, Yuasa Y (2008) Cement paste characteristics and porous concrete properties. Constr Build Mater 22(5):894–901
Arif M, Hasan SD, Siddiqui S (2023) Effect of nano silica on strength and permeability of concrete. Mater Today Proc. https://doi.org/10.1016/j.matpr.2023.04.073
Xuemei L, Kok Seng C, Min-Hong Z (2011) Water absorption, permeability, and resistance to chloride-ion penetration of lightweight aggregate concrete. Constr Build Mater 25(1):335–343
Lin L, Wu B (2022) Water permeability behavior of recycled lump/aggregate concrete. Constr Build Mater 323:126508
Kamisetty A, Gandhi ISR, Kumar A (2023) Combined effect of fly ash and fiber on spreadability, strength and water permeability of foam concrete. J Build Eng 78:107607
Martin WD, Kaye NB, Putman BJ (2014) Impact of vertical porosity distribution on the permeability of pervious concrete. Constr Build Mater 59:78
Huang J, Zhang Y, Sun Y, Ren J, Zhao Z, Zhang J (2021) Evaluation of pore size distribution and permeability reduction behavior in pervious concrete. Constr Build Mater 290:123228
Neithalath N, Sumanasooriya MS, Deo O (2010) Characterizing pore volume, sizes, and connectivity in pervious concretes for permeability prediction. Mater Charact 61(8):802–813
Kuang X, Sansalone JJ, Ying G, Ranieri V (2011) Pore-structure models of hydraulic conductivity for permeable pavement. J Hydrol 399(3):148–157
Ghafoori N, Dutta S (1995) Laboratory investigation of compacted no-fines concrete for paving materials. J Mater Civ Eng 7(3):183–191
Li L, Aubertin M (2003) A general relationship between porosity and uniaxial strength of engineering materials. Can J Civ Eng 30(4):644–658
Hasselman F (1964) Effect of small fraction of spherical porosity on elastic moduli of glass. Am Ceram Soc 47:52–53
My B (1949) Relation of mechanical properties of powder metals and their porosity and the ultimate properties of porous metal–ceramic materials. Dokl Akad SSSR 67(5):831–834
Ryshkewitch E (1953) Compression strength of porous sintered alumina and zirconia: 9th communication to ceramography. J Am Ceram Soc 36(2):65–68
Kk S (1971) Strength of porous materials. Cem Concr Res 1:419–422
Chindaprasirt P, Hatanaka S, Mishima N, Yuasa Y, Chareerat T (2009) Effects of binder strength and aggregate size on the compressive strength and void ratio of porous concrete. Int J Miner Metall Mater 16(6):714–719
Wu J-Y, Vinh Phu N, Nguyen CT, Sutula D, Sinaie S, Bordas SPA (2020) Phase-field modeling of fracture. In: Bordas SPA, Balint DS (eds) Advances in applied mechanics, vol 532020. Elsevier, Amsterdam, pp 1–183
Vandeperre LJ, Wang J, Clegg WJ (2004) Effects of porosity on the measured fracture energy of brittle materials. Phil Mag 84(34):3689–3704
Rice RW (1996) Comparison of physical property-porosity behaviour with minimum solid area models. J Mater Sci 31:1509–1528
Acknowledgements
The authors appreciate the support from the National Natural Science Foundation of China (Grant No. 52078051, No. 52378430), and the Science and Technology Project of Shandong Expressway Linteng Highway Co., Ltd. (HS2022B073).
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Hou, F., Qu, G., Yan, Z. et al. Properties and relationships of porous concrete based on Griffith’s theory: compressive strength, permeability coefficient, and porosity. Mater Struct 57, 52 (2024). https://doi.org/10.1617/s11527-024-02328-8
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DOI: https://doi.org/10.1617/s11527-024-02328-8