Effect of Fibers on the Onset of Strain Localization in HPFRCC Subjected to Plane Stress Loading
Publication: Journal of Engineering Mechanics
Volume 144, Issue 9
Abstract
The main objective of this study was to quantify effect of fibers on the onset of strain localization in elastic-plastic cementitious composites. To this end, multidirectional fibers were embedded into an elastic-plastic cementitious matrix and the resulting composite was described by several different types of nonassociated Drucker-Prager hardening plasticity models. Diagnostic strain localization analyses were conducted, thus providing strain and stress levels at the onset of strain localization, along with corresponding directions and modes of strain localization. Several actual uniaxial tension and compression tests on plain cementitious composites and on high-performance steel fiber-reinforced cementitious composites were investigated. Results showed that the onset of strain localization was slightly delayed in uniaxial tension and more significantly delayed in uniaxial compression tests on high-performance fiber-reinforced cementitious composites as compared to the plain mortar. Specifically, the diagnostic strain localization analysis appears to detect the inception of a fiber-induced distributed cracking in uniaxial tension tests, and the onset of a fiber-induced delay of a major crack localization in a uniaxial compression test.
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References
ACI (American Concrete Institute). 1996. Report on fiber reinforced concrete. ACI 544.1R-96. Detroit: ACI.
Albert, R. A., and J. W. Rudnicki. 2001. “Finite element simulations of Tennessee marble under plain strain laboratory testing: Effects of sample-platen friction on shear band onset.” Mech. Mater. 33 (1): 47–60. https://doi.org/10.1016/S0167-6636(00)00025-9.
Andrade, J. E., and R. I. Borja. 2006. “Capturing strain localization in dense sands with random density.” Int. J. Numer. Methods Eng. 67 (11): 1531–1564. https://doi.org/10.1002/nme.1673.
Aydin, A., R. I. Borja, and P. Eichhubl. 2006. “Geological and mathematical framework for failure modes in granular rock.” J. Struct. Geol. 28 (1): 83–98. https://doi.org/10.1016/j.jsg.2005.07.008.
Baizae, S. 2013. “Constitutive modeling and numerical implementation of brittle and ductile material behavior with the aid of inelastic XFEM and damage-plasticity models.” Ph.D. thesis, Univ. of Houston.
Chi, Y., L. Xu, and H. Yu. 2014. “Constitutive modeling of steel-polypropylene hybrid fiber reinforced concrete using a non-associated plasticity and its numerical implementation.” Compos. Struct. 111 (May): 497–509. https://doi.org/10.1016/j.compstruct.2014.01.025.
Grassl, P. 2004. “Modelling of dilatation of concrete and its effect in triaxial compression.” Finite Elem. Anal. Des. 40 (9–10): 1021–1033. https://doi.org/10.1016/j.finel.2003.04.002.
Haimson, B., and J. W. Rudnicki. 2010. “The effect of the intermediate principal stress on fault formation and fault angle in siltstone.” J. Struct. Geol. 32 (11): 1701–1711. https://doi.org/10.1016/j.jsg.2009.08.017.
Hu, X. D., R. Day, and P. Dux. 2003. “Biaxial failure model for fiber reinforced concrete.” J. Mater. Civ. Eng. 15 (6): 609–615. https://doi.org/10.1061/(ASCE)0899-1561(2003)15:6(609).
Miletić, M., and D. Perić. 2015. “Onset of strain localization in fiber reinforced composites subjected to plane stress loading.” In Bifurcation and degradation of geomaterials in the new millennium, edited by K. T. Chau and J. Zhao. Cham, Switzerland: Springer.
Miletić, M., and D. Perić. 2017. “Strain localization in high performance fiber reinforced cementitious composites.” In Bifurcation and degradation of geomaterials with engineering applications, edited by E. Papamichos, P. Papanastasiou, E. Pasternak, and A. Dyskin. Cham, Switzerland: Springer.
Namaan, A. E., and H. W. Reinhardt. 1996. “Micromechanical models of mechanical response of HPFRCC.” In High performance fiber reinforced cement composites 2, edited by A. E. Namaan and H. W. Reinhardt, 232–269. London: E. & F.N. Spon.
Ottossen, N. S., and K. Runesson. 1991. “Properties of bifurcation solutions in elasto-plasticity.” Int. J. Solids. Struct. 27 (4): 401–421. https://doi.org/10.1016/0020-7683(91)90131-X.
Pietruszczak, S., and G. Xu. 1995. “Brittle response of concrete as a localization problem.” Int. J. Solids Struct. 32 (11): 1517–1533. https://doi.org/10.1016/0020-7683(94)00231-K.
Poorsolhjouy, P., and A. Misra. 2017. “Effect of intermediate principal stress and loading-path on failure of cementitious materials using granular micromechanics.” Int. J. Solids Struct. 108 (Mar): 139–152. https://doi.org/10.1016/j.ijsolstr.2016.12.005.
Rudnicki, J. W., and J. R. Rice. 1975. “Conditions for the localization of deformation in pressure-sensitive dilatant materials.” J. Mech. Phys. Solids 23 (6): 371–394. https://doi.org/10.1016/0022-5096(75)90001-0.
Runesson, K., N. S. Ottosen, and D. Perić. 1991. “Discontinuous bifurcations of elastic-plastic solutions at plane stress and plane strain.” Int. J. Plast. 7 (1–2): 99–121. https://doi.org/10.1016/0749-6419(91)90007-L.
Salari, M. R., S. Saeb, K. J. Willam, S. J. Patchet, and R. C. Carrasco. 2004. “A coupled elastoplastic damage model for geomaterials.” Comp. Methods Appl. Mech. Eng. 193 (27–29): 2625–2643. https://doi.org/10.1016/j.cma.2003.11.013.
Sirijaroonchai, K. 2009. “A macro-scale plasticity model for high performance fiber reinforced cement composites.” Ph.D. thesis, Univ. of Michigan.
Yin, W., E. Su, M. Mansur, and T. Hsu. 1989. “Biaxial tests on plain and fiber concrete.” ACI Mater. J. 86 (3): 236–243.
Zhang, Y. 2010. “Study on uniaxial compressive constitutive relationship and uniaxial tensile behavior of steel-polypropylene hybrid fiber reinforced concrete.” Ph.D. thesis, School of Civil Engineering, Wuhan Univ.
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©2018 American Society of Civil Engineers.
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Received: Jul 18, 2017
Accepted: Jan 18, 2018
Published online: Jun 18, 2018
Published in print: Sep 1, 2018
Discussion open until: Nov 18, 2018
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