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tesi A. Caggiano.pdf - EleA@UniSA - Università degli Studi di Salerno

tesi A. Caggiano.pdf - EleA@UniSA - Università degli Studi di Salerno

tesi A. Caggiano.pdf - EleA@UniSA - Università degli Studi di Salerno

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Chapter 7. Cracked hinge numerical model for fiber-reinforced concretethe well-known Winkler beam theory is used to describe the dowel force-<strong>di</strong>splacementrelationship, which is transformed in terms of dowel stress vs. relative <strong>di</strong>splacements[ ]suitable for the cracked hinge model (namely τ f uT,cr of Eq. 7.2). On the other hand,the empirical model reported by Dulacska [1972] for RC-structures is taken as maximumdowel strength. The complete model for the dowel formulation has completely beenreported in Chapter 3.7.4 Numerical pre<strong>di</strong>ctionsThe composite model outlined in the previous sections is introduced in the crackedhinge zone with the aim to simulate the 150 × 150 × 600 mm 3 notched concrete specimens,tested under four-point ben<strong>di</strong>ng presented in Chapter 2.For the purpose of the numerical evaluations, three material types are considered:• plain concrete,• steel fiber-reinforced concrete having ρ f = 0.5% and,• steel fiber-reinforced concrete with ρ f = 1.0%.The geometry and material properties are chosen accor<strong>di</strong>ng to the tests outlined inexperimental campaign described in Chapter 2.vertical load kN 3530252015105L100Numerical pre<strong>di</strong>ctionsρ f 1.0ρ f 0.500 1 2 3 4 5 6CTODm mmFigure 7.5: Load-C T ODm numerical pre<strong>di</strong>ctions against the experimental data on SFRCL100-type by <strong>Caggiano</strong> et al. [2012a].148

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