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Properties and relationships of porous concrete based on Griffith’s theory: compressive strength, permeability coefficient, and porosity

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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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Some or all data, models, or codes that support the findings of this study are available from the corresponding author upon reasonable request.

References

  1. 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

    Google Scholar 

  2. 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

    Article  Google Scholar 

  3. Kevern JT, Biddle D, Cao Q (2015) Effects of macrosynthetic fibers on pervious concrete properties. J Mater Civ Eng 27(9):06014031

    Article  Google Scholar 

  4. Putman BJ, Neptune AI (2011) Comparison of test specimen preparation techniques for pervious concrete pavements. Constr Build Mater 25(8):3480–3485

    Article  Google Scholar 

  5. 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

    Article  Google Scholar 

  6. 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

    Article  Google Scholar 

  7. 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

    Article  Google Scholar 

  8. 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

    Article  Google Scholar 

  9. 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

    Article  Google Scholar 

  10. 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

    Article  Google Scholar 

  11. Golroo A, Tighe SL (2012) Pervious concrete pavement performance modeling using the bayesian statistical technique. J Transp Eng 138(5):603–609

    Article  Google Scholar 

  12. 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

    Article  Google Scholar 

  13. 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

    Article  Google Scholar 

  14. Griffith AA (1921) The phenomena of rupture and flow in solids. Philos Trans R Soc 221(582–593):163–198

    Google Scholar 

  15. 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

    Article  MathSciNet  Google Scholar 

  16. Wang F, Sun C (2023) Effect of pore structure on compressive strength and permeability of planting recycled concrete. Constr Build Mater 394:132167

    Article  Google Scholar 

  17. 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

    Article  Google Scholar 

  18. Choubey RK, Kumar S, Rao MC (2016) Modeling of fracture parameters for crack propagation in recycled aggregate concrete. Constr Build Mater 106:168–178

    Article  Google Scholar 

  19. 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

    Article  Google Scholar 

  20. 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

    Article  Google Scholar 

  21. 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

    Article  Google Scholar 

  22. Akkaya A, Çağatay İH (2021) Investigation of the density, porosity, and permeability properties of pervious concrete with different methods. Constr Build Mater 294:123539

    Article  Google Scholar 

  23. Lian C, Zhuge Y, Beecham S (2011) The relationship between porosity and strength for porous concrete. Constr Build Mater 25(11):4294

    Article  Google Scholar 

  24. Nassiri S, AlShareedah O (2017) Preliminary procedure for structural design of pervious concrete pavements. In: Washington (State). Dept. of Transportation. Research Office

  25. 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

    Article  Google Scholar 

  26. 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

    Article  Google Scholar 

  27. 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

    Google Scholar 

  28. 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

    Article  Google Scholar 

  29. Lederle R, Shepard T, Meza VD (2020) Comparison of methods for measuring infiltration rate of pervious concrete. Constr Build Mater 244:118339

    Article  Google Scholar 

  30. 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

    Article  Google Scholar 

  31. 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

    Google Scholar 

  32. 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

    Article  Google Scholar 

  33. 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

    Article  Google Scholar 

  34. 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

    Article  Google Scholar 

  35. Test method of fluidity of cement mortar, Beijing, China, 2005

  36. Sata V, Wongsa A, Chindaprasirt P (2013) Properties of pervious geopolymer concrete using recycled aggregates. Constr Build Mater 42:33–39

    Article  Google Scholar 

  37. 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

    Google Scholar 

  38. Bhutta MAR, Tsuruta K, Mirza J (2012) Evaluation of high-performance porous concrete properties. Constr Build Mater 31:67–73

    Article  Google Scholar 

  39. Chu S (2019) Effect of paste volume on fresh and hardened properties of concrete. Constr Build Mater 218:284–294

    Article  Google Scholar 

  40. 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

    Article  Google Scholar 

  41. 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

    Article  Google Scholar 

  42. 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

    Article  Google Scholar 

  43. Lin L, Wu B (2022) Water permeability behavior of recycled lump/aggregate concrete. Constr Build Mater 323:126508

    Article  Google Scholar 

  44. 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

    Article  Google Scholar 

  45. Martin WD, Kaye NB, Putman BJ (2014) Impact of vertical porosity distribution on the permeability of pervious concrete. Constr Build Mater 59:78

    Article  Google Scholar 

  46. 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

    Article  Google Scholar 

  47. 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

    Article  Google Scholar 

  48. Kuang X, Sansalone JJ, Ying G, Ranieri V (2011) Pore-structure models of hydraulic conductivity for permeable pavement. J Hydrol 399(3):148–157

    Article  Google Scholar 

  49. Ghafoori N, Dutta S (1995) Laboratory investigation of compacted no-fines concrete for paving materials. J Mater Civ Eng 7(3):183–191

    Article  Google Scholar 

  50. Li L, Aubertin M (2003) A general relationship between porosity and uniaxial strength of engineering materials. Can J Civ Eng 30(4):644–658

    Article  Google Scholar 

  51. Hasselman F (1964) Effect of small fraction of spherical porosity on elastic moduli of glass. Am Ceram Soc 47:52–53

    Article  Google Scholar 

  52. 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

    Google Scholar 

  53. Ryshkewitch E (1953) Compression strength of porous sintered alumina and zirconia: 9th communication to ceramography. J Am Ceram Soc 36(2):65–68

    Article  Google Scholar 

  54. Kk S (1971) Strength of porous materials. Cem Concr Res 1:419–422

    Article  Google Scholar 

  55. 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

    Google Scholar 

  56. 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

    Google Scholar 

  57. Vandeperre LJ, Wang J, Clegg WJ (2004) Effects of porosity on the measured fracture energy of brittle materials. Phil Mag 84(34):3689–3704

    Article  Google Scholar 

  58. Rice RW (1996) Comparison of physical property-porosity behaviour with minimum solid area models. J Mater Sci 31:1509–1528

    Article  Google Scholar 

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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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Correspondence to Mulian Zheng.

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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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