Design of an explicit crack bridging constitutive model for engineered cementitious composites using polyvinyl alcohol (PVA) or polyethylene (PE) fiber

Z.  Wang; B. Li; L. Li; Z.  Zhang

doi:10.3989/mc.2024.367923

Authors

Z. Wang College of Architecture and Environment, Sichuan University, Key Laboratory of Deep Underground Science and Engineering for Ministry of Education https://orcid.org/0000-0002-1585-6966
B. Li College of Architecture and Environment, Sichuan University, Key Laboratory of Deep Underground Science and Engineering for Ministry of Education https://orcid.org/0000-0002-6369-8835
L. Li College of Architecture and Environment, Sichuan University, Key Laboratory of Deep Underground Science and Engineering for Ministry of Education https://orcid.org/0000-0001-9093-8630
Z. Zhang College of Architecture and Environment, Sichuan University, Key Laboratory of Deep Underground Science and Engineering for Ministry of Education https://orcid.org/0000-0002-7097-6055

DOI:

https://doi.org/10.3989/mc.2024.367923

Keywords:

Engineered cementitious composites, Crack bridging model, Two-way pullout, Fiber pullout rupture

Abstract

This paper aims to establish an explicit crack bridging model that can link engineered cementitious composites (ECC) behavior from single fiber to single crack scale, which is great of designing ECC featuring pseudo tensile strain hardening and multiple cracks expanding by tailoring microstructure and materials selection. In this study, fiber bridging stress was divided into three parts including fiber bridging stress with no rupture, fiber debonding fracture stress, and fiber pullout fracture stress. Subsequently, the fundamental crack bridging model was emerged when fiber bridging stress with no rupture subtracted from the fiber rupture stress in debonding and pullout stage. Moreover, two-way pullout and Cook-Gordon effect were also considered to establish the complete model. It was found that the two-way pullout situation of polyvinyl alcohol (PVA) fiber has a significant influence on the crack opening width due to its slip hardening property, while the Cook-Gordon effect presents a faint crack width increment for PVA-ECC. However, the Cook-Gordon effect makes a significant contribution to the crack opening width of the composite produced by polyethylene (PE). This building intelligible model presents a better prediction for ECC through the comparison of experimental data or real average crack width in previous models, thus confirming the validity of this model.

Downloads

Download data is not yet available.

References

Lu C, Li VC, Leung CKY. 2018. Flaw characterization and correlation with cracking strength in Engineered Cementitious Composites (ECC). Cem. Concr. Res. 107:64-74. https://doi.org/10.1016/j.cemconres.2018.02.024

Liao Q, Su YR, Yu JT, Yu KQ. 2022. Torsional behavior of BFRP bars reinforced engineered cementitious composites beams without stirrup. Eng. Struct. 268:114748. https://doi.org/10.1016/j.engstruct.2022.114748

Li VC, Mishra DK, Wu HC. 1995. Matrix design for pseudo-strain-hardening fibre reinforced cementitious composites. Mater. Struct. 28(184):586-595. https://doi.org/10.1007/BF02473191

Li VC, Wang SX, Wu C. 2001. Tensile strain-hardening behaviorof polyvinyl alcohol engineered cementitious composite (PVA-ECC). ACI Mater. J. 98(6):483-492. https://doi.org/10.14359/10851

Li M, Li VC. 2011. High-early-strength engineered cementitious composites for fast, durable concrete repair-material properties. ACI Mater. J. 108(1): 3-12. https://doi.org/10.14359/51664210

Liao Q, Yu JT, Xie X, Ye J, Jiang F. 2022. Experimental study of reinforced UHDC-UHPC panels under close-in blast loading. J. Build. Eng. 46:103498. https://doi.org/10.1016/j.jobe.2021.103498

Dupont D, Vandewalle L. 2005. Distribution of steel fibres in rectangular sections. Cem. Concr. Compos. 27(3):391-398. https://doi.org/10.1016/j.cemconcomp.2004.03.005

Barr BIG, Lee MK, Hansen EJDP, Dupont D, Erdem E, Schaerlaekens S, Schnütgen B, Stang H, Vandewalle L. 2003. Round-robin analysis of the RILEM TC 162-TDF beam-bending test: Part 3-Fibre distribution. Mater. Struct. 36(9):631-635. https://doi.org/10.1007/BF02483283

Barr BIG, Lee MK, Hansen EJDP, Dupont D, Erdem E, Schaerlaekens S, Schnütgen B, Stang H, Vandewalle L. 2003. Round-robin analysis of the RILEM TC 162-TDF uni-axial tensile test: Part 2. Mater. Struct. 36(4):275-280. https://doi.org/10.1007/BF02479621

Li VC, Wu HC. 1992. Conditions for pseudo strain-hardening infiber reinforced brittle matrix composites. J. Appl. Mech. Rev. 45(8):390-398. https://doi.org/10.1115/1.3119767

Zhu B, Pan JL, Zhang M, Leung CKY. 2022. Predicting the strain-hardening behaviour of polyethylene fibre reinforced engineered cementitious composites accounting for fibre-matrix interaction. Cem. Concr. Compos. 134:104770. https://doi.org/10.1016/j.cemconcomp.2022.104770

Kanda T, Lin Z, Li VC. 2000. Tensile stress-strain modeling of pseudostrain hardening cementitious composites. J. Mater. Civ. Eng. 12(2):147-156. https://doi.org/10.1061/(ASCE)0899-1561(2000)12:2(147)

Kanda T, Li VC. 2006. Practical design criteria for saturated pseudo strain hardening behavior in ECC. J. Adv. Concr. Technol. 4(1):59-72. https://doi.org/10.3151/jact.4.59

Huang T, Zhang YX, Su C, Lo SR. 2015. Effect of slip-hardening interface behavior on fiber rupture and crack bridging in fiber-reinforced cementitious composites. J. Eng. Mech. 141(10):04015035. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000932

Curosu I, Muja E, Ismailov M, Ahmed AH, Liebscher M, Mechtcherine V. 2021. An experimental-analytical scale-linking study on the crack-bridging mechanisms in different types of SHCC in dependence on fiber orientation. Cem. Concr. Res. 152:106650. https://doi.org/10.1016/j.cemconres.2021.106650

Yao J, Leung CKY. 2020. Scaling up modeling of strain-hardening cementitious composites based on beam theory: From single fiber to composite. Cem. Concr. Compos. 108:103534. https://doi.org/10.1016/j.cemconcomp.2020.103534

Li VC, Leung CKY. 1992. Steady-state and multiple cracking of short random fiber composites. J. Eng. Mech. 118(11):2246-2264. https://doi.org/10.1061/(ASCE)0733-9399(1992)118:11(2246)

Zhong L, Li VC. 1997. Crack bridging in fiber reinforced cementitious composites with slip-hardening interfaces. J. Mech. Phys. Solids. 45(5):763-787. https://doi.org/10.1016/S0022-5096(96)00095-6

Maalej M, Li VC, Hashida T. 1995. Effect of fiber rupture on tensile properties of short fiber composites. J. Eng. Mech. 121(8):903-913. https://doi.org/10.1061/(ASCE)0733-9399(1995)121:8(903)

Kanda T, Li VC. 1999. Effect of fiber strength and fiber-matrix interface on crack bridging in cement composites. J. Eng. Mech. 125(3):290-299. https://doi.org/10.1061/(ASCE)0733-9399(1999)125:3(290)

Lin Z, Kanda T, Li VC. 1999. On interface property characterization and performance of fiber reinforced cementitious composites. J. Adv. Concr. Technol. 1(3):173-184. Retrieved from http://hdl.handle.net/2027.42/84718.

Li VC, Wu C, Wang S, Ogawa A, Saito T. 2002. Interfacetailoring for strain-hardening polyvinyl alcohol-engineered cementi tious composite (PVA-ECC). ACI Mater. J. 99(5):463-472. Retrieved from https://acemrl.engin.umich.edu/wp-content/uploads/sites/412/2018/10/Interface-Tailoring-for-Strain-hardening-PVA-ECC.pdf. https://doi.org/10.14359/12325

Yang EH, Wang S, Yang Y, Li VC. 2008. Fiber-bridging constitutive law of engineered cementitious composites. J. Adv. Concr. Technol. 6(1):181-193. https://doi.org/10.3151/jact.6.181

Yu J, Chen YX, Leung CKY. 2018. Micromechanical modeling of crack-bridging relations of hybrid-fiber strain-hardening cementitious composites considering interaction between different fibers. Constr. Build. Mater. 182:629-636. https://doi.org/10.1016/j.conbuildmat.2018.06.115

Kanda T. 1999. New micromechanics design theory for pseudo strain hardening cementitious composite. J. Eng. Mech. 125:373-381. https://doi.org/10.1061/(ASCE)0733-9399(1999)125:4(373)

Li VC, Wang SX. 2006. Microstructure variability and macroscopic composite properties of high performance fiber reinforced cementitious composites. Probab. Eng. Eng. Mech. 21(3):201-206. https://doi.org/10.1016/j.probengmech.2005.10.008

Marshall DBAC, COX BN. 1988. A J-integral method for calculating steady-state matrix cracking stresses in composites. Mech. Mater. 7(2):127-133. https://doi.org/10.1016/0167-6636(88)90011-7

ASTM E1820. 2008. Standard test method for measurement of fracture toughness. ASTM International, West Conshohocken, PA, USA.

Li VC, Kanda T. 1998. Multiple cracking sequence and saturation in fiber reinforced cementitious composites. Concr. Res. Technol. 9:19-33. https://doi.org/10.3151/crt1990.9.2_19

Li VC, Wang Y, Backer S. 1990. Effect of inclining angle, bundling and surface treatment on synthetic fibre pull-out from a cement matrix. Composites. 21(2):132-140. https://doi.org/10.1016/0010-4361(90)90005-H

Tetsushi K, Li VC. 1992. Multiple cracking sequence and saturation in fiber reinforced cementitious composites. J. Adv. Concr. Technol. 9(2):19-33. https://doi.org/10.3151/crt1990.9.2_19

Li VC, Wang YJ, Backer S. 1991. A micromechanical model of tension-softening and bridging toughening of short random fiber reinforced nrittle matrix composites. J. Mech. Phys. Solids. 39(5):607-625. https://doi.org/10.1016/0022-5096(91)90043-N

Wu C. 2001. Micromechanical tailoring of PVA-ECC for structural applications. University of Michigan.

Wang YJ, Li VC, Backer S. 1988. Modelling of fibre pull-out from a cement matrix. Int. J. Cement. Compos. Lightweight. Concr. 10(3):143-149. Retrieved from https://deepblue.lib.umich.edu/bitstream/handle/2027.42/84694/ywang_CCLC88.pdf?sequence=1. https://doi.org/10.1016/0262-5075(88)90002-4

Li VC. 1993. From micromechanics to structural engineering. The design of cementitous composites for civil engineering applications. Structural engineering/earthquake engineering. 1993(471):1-12. https://doi.org/10.2208/jscej.1993.471_1

Zhang ZG, Yang Y, Liu JC, Wanga S. 2020. Eco-friendly high strength, high ductility engineered cementitious composites (ECC) with substitution of fly ash by rice husk ash. Cem. Concr. Res 137:106200 https://doi.org/10.1016/j.cemconres.2020.106200