Skip to main content
SpringerLink
Log in

Dynamic non-linear Mohr–Coulomb strength criterion for hybrid basalt–polypropylene fibre-reinforced concrete under impact loading

  • Original Article
  • Published:
Archives of Civil and Mechanical Engineering Aims and scope Submit manuscript

Abstract

Variations in the dynamic triaxial strength of hybrid basalt–polypropylene fibre-reinforced concrete (HBPRC) with strain rate and confining pressure were investigated, and a dynamic non-linear Mohr–Coulomb (M–C) strength criterion for HBPRC was established. The results showed that the dynamic strength of HBPRC increased non-linearly with the strain rate and confining pressure; however, the strain rate effect decreased with an increase in the confining pressure. The restraint effect of the basalt fibre and polypropylene fibre on the cracks enhanced the strain rate effect of the dynamic strength of concrete. The cohesion of HBPRC increased with the strain rate and confining pressure but decreased with an increase in the amount of fibre monofilaments. However, the internal friction angle showed a reverse trend. The established dynamic non-linear M–C strength criterion reflected the relationship of the dynamic strength of HBPRC with the confining pressure and strain rate, as well as the effect of fibre content on dynamic strength. The less average standard deviation and the tangential relationship between the strength envelope and the Mohr’s circle of stress demonstrated the applicability of the established dynamic non-linear M–C strength criterion.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12

Similar content being viewed by others

References

  1. Song L, Huang SM, Yang SC. Experimental investigation on criterion of three-dimensional mixed-mode fracture for concrete. Cem Concr Res. 2004;34(6):913–6.

    Article  Google Scholar 

  2. Dutra VFP, Maghous S, Filho AC. A homogenization approach to macroscopic strength criterion of steel fiber reinforced concrete. Cem Concr Res. 2013;44:34–45.

    Article  Google Scholar 

  3. Malecot Y, Zingg L, Briffaut M, Baroth J. Influence of free water on concrete triaxial behavior: the effect of porosity. Cem Concr Res. 2019;120:207–16.

    Article  Google Scholar 

  4. He Z, Song Y. Triaxial strength and failure criterion of plain high-strength and high-performance concrete before and after high temperature. Cem Concr Res. 2010;40(1):171–8.

    Article  Google Scholar 

  5. Chen D, Yu X, Liu R, Li S, Zhang Y. Triaxial mechanical behavior of early age concrete: experimental and modelling research. Cem Concr Res. 2019;115:433–44.

    Article  Google Scholar 

  6. Shang H, Song Y. Behavior of air-entrained concrete under the compression with constant confined stress after freeze-thaw cycles. Cem Concr Compos. 2008;30(9):854–60.

    Article  Google Scholar 

  7. Yu Z, Huang Q, Xie X, Xiao N. Experimental study and failure criterion analysis of plain concrete under combined compression-shear stress. Constr Build Mater. 2018;179:198–206.

    Article  Google Scholar 

  8. Yoo DY, Banthia N. Impact resistance of fiber-reinforced concrete—a review. Cem Concr Compos. 2019;104:103389.

    Article  Google Scholar 

  9. Hao Y, Hao H, Jiang GP, Zhou Y. Experimental confirmation of some factors influencing dynamic concrete compressive strength in high-speed impact tests. Cem Concr Res. 2013;52:63–70.

    Article  Google Scholar 

  10. Xiao JZ, Li L, Shen LM, Poon CS. Compressive behaviour of recycled aggregate concrete under impact loading. Cem Concr Res. 2015;71:46–55.

    Article  Google Scholar 

  11. Li WG, Luo ZY, Long C, Wu CQ, Duan WH, Shah SP. Effects of nanoparticle on the dynamic behaviors of recycled aggregate concrete under impact loading. Mater Des. 2016;112:58–66.

    Article  Google Scholar 

  12. Lai JZ, Sun W. Dynamic behaviour and visco-elastic damage model of ultra-high performance cementitious composite. Cem Concr Res. 2009;39(11):1044–51.

    Article  Google Scholar 

  13. Wu ZM, Shi CJ, He W, Wang DH. Static and dynamic compressive properties of ultra-high performance concrete (UHPC) with hybrid steel fiber reinforcements. Cem Concr Compos. 2017;79:148–57.

    Article  Google Scholar 

  14. Chen XD, Wu SX, Zhou JK. Experimental and modeling study of dynamic mechanical properties of cement paste, mortar and concrete. Constr Build Mater. 2013;47:419–30.

    Article  Google Scholar 

  15. Salloum YA, Almusallam T, Ibrahim SM, Abbas H, Alsayed S. Rate dependent behavior and modeling of concrete based on SHPB experiments. Cem Concr Compos. 2015;55:34–44.

    Article  Google Scholar 

  16. Li QM, Meng H. About the dynamic strength enhancement of concrete-like materials in a split Hopkinson pressure bar test. Int J Solids Struct. 2003;40(2):343–60.

    Article  MathSciNet  Google Scholar 

  17. Jin L, Yu WX, Du XL, Yang WX. Dynamic size effect of concrete under tension: a numerical study. Int J Impact Eng. 2019;132:103318.

    Article  Google Scholar 

  18. Song YP, Wang HL. Dynamic strength of concrete under multiaxial compressive loading. Mater Charact V. 2011;72:299–306.

    Google Scholar 

  19. Wang H, Wang LC, Song YP, Wang JZ. Influence of free water on dynamic behavior of dam concrete under biaxial compression. Constr Build Mater. 2016;112:222–31.

    Article  Google Scholar 

  20. Fujikake K, Uebayashi K, Ohno T, Shimoyama Y, Katagiri M. Dynamic properties of steel fiber reinforced mortar under high-rates of loadings and triaxial stress states. In: Proceedings of the 7th international conference on structures under shock and impact. Montreal, 2002, pp. 437–446.

  21. Chen X, Wu S, Zhou J, Chen Y, Qin A. Effect of testing method and strain rate on stress-strain behavior of concrete. J Mater Civ Eng. 2013;25(11):1752–61.

    Article  Google Scholar 

  22. Lu D, Wang G, Du X, Wang Y. A nonlinear dynamic uniaxial strength criterion that considers the ultimate dynamic strength of concrete. Int J Impact Eng. 2017;103:124–37.

    Article  Google Scholar 

  23. Chen J, Zhang Z, Dong H, Zhu J. Experimental study on dynamic damage evolution of concrete under multi-axial stresses. Eng Fail Anal. 2011;18(7):1784–90.

    Article  Google Scholar 

  24. Forquin P, Safa K, Grady G. Influence of free water on the quasi-static and dynamic strength of concrete in confined compression tests. Cem Concr Res. 2010;40(2):321–33.

    Article  Google Scholar 

  25. Piotrowska E, Forquin P, Malecot Y. Experimental study of static and dynamic behavior of concrete under high confinement: Effect of coarse aggregate strength. Mech Mater. 2016;92:164–74.

    Article  Google Scholar 

  26. Cui J, Hao H, Shi YC. Numeerical study of the influences of pressure confinement on high-speed impact tests of dynamic material properties of concrete. Constr Build Mater. 2018;171:839–49.

    Article  Google Scholar 

  27. Yoo DY, Banthia N. Mechanical properties of ultra-high-performance fiber-reinforced concrete: a review. Cem Concr Compos. 2016;73:267–80.

    Article  Google Scholar 

  28. Yoo DY, Yoon YS, Banthia N. Flexural response of steel-fiber-reinforced concrete beams: effects of strength, fiber content, and strain-rate. Cem Concr Compos. 2015;64:84–92.

    Article  Google Scholar 

  29. Buendía AML, Sánchez MDR, Climent V, Guillem C. Surface treated polypropylene (PP) fibres for reinforced concrete. Cem Concr Res. 2013;54:29–35.

    Article  Google Scholar 

  30. Chi Y, Xu LH, Zhang YY. Experimental study on hybrid fiber-reinforced concrete subjected to uniaxial compression. J Mater Civ Eng. 2014;26(2):211–8.

    Article  Google Scholar 

  31. Ibrahim SM, Almusallam TH, Al-salloum YA, Abadel AA, Abbas H. Strain rate dependent behavior and modeling for compression response of hybrid fiber reinforced concrete. Lat Am J Solids Struct. 2016;13:1695–715.

    Article  Google Scholar 

  32. Ramesh B, Eswari S. Mechanical behaviour of basalt fibre reinforced concrete: an experimental study. Mater Today Proc. 2021;43:2317–22.

    Article  Google Scholar 

  33. Adesina A. Performance of cementitious composites reinforced with chopped basalt fibres—an overview. Constr Build Mater. 2021;266:120970.

    Article  Google Scholar 

  34. Smarzewski P. Influence of basalt-polypropylene fibers on fracture properties of high performance concrete. Compos Struct. 2019;209:23–33.

    Article  Google Scholar 

  35. Wang D, Wang H, Larsson S, Benzerzour M, Maherzi W, Amar M. Effect of basalt fiber inclusion on the mechanical properties and microstructure of cement-solidified kaolinite. Constr Build Mater. 2020;241:118085.

    Article  Google Scholar 

  36. Choi JI, Lee BY. Bonding properties of basalt fiber and strength reduction according to fiber orientation. Material. 2015;8(10):6719–27.

    Article  Google Scholar 

  37. Fiore V, Scalici T, Di BG, Valenza A. A review on basalt fibre and its composites. Compos Part B Eng. 2015;74:74–94.

    Article  Google Scholar 

  38. Lyer P, Kenno SY, Das S. Mechanical properties of fiber-reinforced concrete made with basalt filament fibers. J Mater Civ Eng. 2015;27(11):04015015.

    Article  Google Scholar 

  39. Zhang H, Wang B, Xie A, Qi Y. Experimental study on dynamic mechanical properties and constitutive model of basalt fiber reinforced concrete. Constr Build Mater. 2017;152:154–67.

    Article  Google Scholar 

  40. Qian CX, Stroeven P. Development of hybrid polypropylene-steel fibre-reinforced concrete. Cem Concr Res. 2000;30(1):63–9.

    Article  Google Scholar 

  41. Bagherzadeh R, Sadeghi AH, Latifi M. Utilizing polypropylene fibers to improve physical and mechanical properties of concrete. Text Res J. 2012;8(1):88–96.

    Article  Google Scholar 

  42. Wang D, Ju Y, Shen H, Xu L. Mechanical properties of high performance concrete reinforced with basalt fiber and polypropylene fiber. Constr Build Mater. 2019;197:464–73.

    Article  Google Scholar 

  43. Fu Q, Niu D, Zhang J, Huang D, Wang Y, Hong M, Zhang L. Dynamic compressive mechanical behaviour and modelling of basalt-polypropylene fibre-reinforced concrete. Arch Civ Mech Eng. 2018;18(3):914–27.

    Article  Google Scholar 

  44. Fu Q, Bu M, Xu W, Chen L, Li D, He J, Kou H, Li H. Comparative analysis of dynamic constitutive response of hybrid fibre-reinforced concrete with different matrix strengths. Int J Impact Eng. 2021;148:103763.

    Article  Google Scholar 

  45. Li WM, Xu JY. Impact characterization of basalt fiber reinforced geopolymeric concrete using a 100-mm-diameter split Hopkinson pressure bar. Mater Sci Eng A. 2009;513–514:145–53.

    Google Scholar 

  46. Zhang H, Gao YW, Li F, Lu F. Experimental study on dynamic properties and constitutive model of polypropylene fiber concrete under high strain rate. J Cent Sout Univ (Sci Tech). 2013;44(8):3464–73.

    Google Scholar 

  47. Ralegaonkar R, Gavali H, Aswath P, Abolmaali S. Application of chopped basalt fibers in reinforced mortar: a review. Constr Build Mater. 2018;164:589–602.

    Article  Google Scholar 

  48. Chen M, Zhong H, Wang H, Zhang M. Behaviour of recycled tyre polymer fibre reinforced concrete under dynamic splitting tension. Cem Concr Compos. 2020;114:103764.

    Article  Google Scholar 

  49. Gong FQ, Si XF, Li XB, Wang SY. Dynamic triaxial compression tests on sandstone at high strain rates and low confining pressures with split Hopkinson pressure bar. Int J Rock Mech Min Sci. 2019;113:211–9.

    Article  Google Scholar 

  50. Fu Q, Xie YJ, Long GC, Niu DT, Song H, Liu XG. Impact characterization and modelling of cement and asphalt mortar based on SHPB experiments. Int J Impact Eng. 2017;106:44–52.

    Article  Google Scholar 

  51. Du H, Dai F, Liu Y, Xu Y, Wei M. Dynamic response and failure mechanism of hydrostatically pressurized rocks subjected to high loading rate impacting. Soil Dyn Earthq Eng. 2020;129:105927.

    Article  Google Scholar 

  52. Li XB, Zhou ZL, Lok TS, Hong L, Yin TB. Innovative testing technique of rock subjected to coupled static and dynamic loads. Int J Rock Mech Min Sci. 2008;45(5):739–48.

    Article  Google Scholar 

  53. Du HB, Dai F, Xu Y, Yan ZL, Wei MD. Mechanical responses and failure mechanism of hydrostatically pressurized rocks under combined compression-shear impacting. Int J Mech Sci. 2020;165:105219.

    Article  Google Scholar 

  54. Zhao J. Applicability of Mohr-Coulomb and Hoek-Brown strength criteria to the dynamic strength of brittle rock. Int J Rock Mech Min Sci. 2000;37(7):1115–21.

    Article  Google Scholar 

  55. Ye ZC. Numerical study of influencing factors on the properties of concrete material under dynamic compression with confining pressure. Ph.D. thesis, Tianjin University, Tianjin, China, 2017.

  56. Bindiganavile V, Banthia N. Polymer and steel fiber-reinforced cementitious composites under impact loading-Part 1: bond-slip. ACI Mater J. 2001;98(1):10–6.

    Google Scholar 

  57. Chen D, Yu X, Shen J, Liao Y, Zhang Y. Investigation of the curing time on the mechanical behavior of normal concrete under triaxial compression. Constr Build Mater. 2017;147:488–96.

    Article  Google Scholar 

  58. Zingg L, Briffaut M, Baroth J, Malecot Y. Influence of cement matrix porosity on the triaxial behaviour of concrete. Cem Concr Res. 2016;80:52–9.

    Article  Google Scholar 

  59. Singh M, Raj A, Singh B. Modified Mohr-Coulomb criterion for non-linear triaxial and polyaxial strength of intact rocks. Int J Rock Mech Min Sci. 2011;48(4):546–55.

    Article  Google Scholar 

  60. Xu S, Shan J, Zhang L, Zhou L, Gao G, Hu S, Wang P. Dynamic compression behaviors of concrete under true triaxial confinement: an experimental technique. Mech Mater. 2020;140:103220.

    Article  Google Scholar 

  61. Wang S, Sun F, Wu H. Mechanical properties and failure criteria of recycled plastic concrete under triaxial stresses. J Build Mater. 2020;23(2):454–9.

    Google Scholar 

  62. Zhang H, Wang L, Zheng K, Jibrin BT, Totakhil PG. Research on compressive impact dynamic behavior and constitutive model of polypropylene fiber reinforced concrete. Constr Build Mater. 2018;187:584–95.

    Article  Google Scholar 

  63. Zhang H, Wang L, Bai L, Addae M, Neupane A. Research on the impact response and model of hybrid basalt-macro synthetic polypropylene fiber reinforced concrete. Constr Build Mater. 2019;204:303–16.

    Article  Google Scholar 

  64. Li W, Xu J. Mechanical properties of basalt fiber reinforced geopolymeric concrete under impact loading. Mater Sci Eng A. 2009;505(1–2):178–86.

    Article  Google Scholar 

Download references

Funding

This study was funded by the National Natural Science Foundation of China (Grant Nos. 51590914, 51608432), Natural Science Foundation of Shaanxi Province (Grant No. 2019JQ-481), Program for Innovative Research Team in University of Ministry of Education of China (Grant No. IRT17R84).

Author information

Authors and Affiliations

  1. School of Civil Engineering, Xi’an University of Architecture and Technology, Xi’an, 710055, People’s Republic of China

    Qiang Fu, Wenrui Xu, Daguan Huang, Jiaqi He, Lu Zhang & Ditao Niu

  2. State Key Laboratory of Green Building in Western China, Xi’an University of Architecture and Technology, Xi’an, 710055, People’s Republic of China

    Qiang Fu & Ditao Niu

  3. College of Engineering, Ocean University of China, Qingdao, 266100, People’s Republic of China

    Hailei Kou

Authors
  1. Qiang Fu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Wenrui Xu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Daguan Huang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Jiaqi He
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Lu Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Hailei Kou
    View author publications

    You can also search for this author in PubMed Google Scholar

  7. Ditao Niu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to Qiang Fu or Hailei Kou.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Ethical approval

This article does not contain any studies with human participants or animals performed by any of the authors.

Informed consent

Informed consent was obtained from all individual participants included in the study.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Fu, Q., Xu, W., Huang, D. et al. Dynamic non-linear Mohr–Coulomb strength criterion for hybrid basalt–polypropylene fibre-reinforced concrete under impact loading. Archiv.Civ.Mech.Eng 21, 93 (2021). https://doi.org/10.1007/s43452-021-00248-w

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s43452-021-00248-w

Keywords

Search

Navigation