Constitutive Relations of Cracked Reinforced Concrete with Steel Fibers


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Title: Constitutive Relations of Cracked Reinforced Concrete with Steel Fibers

Author(s): M.Y. Mansour, T.T.C. Hsu, and Y.-L. Mo

Publication: Special Publication

Volume: 265


Appears on pages(s): 101-122

Keywords: biaxial testing; constitutive relationships; panel; reinforced concrete; steel fibers; strains; stresses.

Date: 10/1/2009

Eight full-scale panels were tested to study the constitutive relationships of elements (panels) made of reinforced concrete with steel fibers (RCSF). The RCSF panels were subjected to biaxial tensile-compressive loadings. The principal variables of the testing program were: (a) percent of steel fibers by volume, Vf, (b) length-to-diameter ratio of steel fibers, Lf/Df, (c) reinforcing bar ratio in the tensile direction, ?, and (d) the tensile strain, eT, in the direction of the principal applied tensile stress. Based on the test results, analytical expressions are proposed for the smeared stress-strain curves of cracked steel fiber concrete (SFC) in tension and compression, as well as the smeared tensile stress-strain curves of mild steel embedded in SFC. The proposed analytical expressions take into account the effect of the steel fiber index, Wf (Wf = Vf Lf /Df).