Numerical modeling of the rebar/concrete interface: case of the flat steel rebars
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ORIGINAL ARTICLE
Numerical modeling of the rebar/concrete interface: case of the flat steel rebars T. S. Phan • J.-L. Tailhan • P. Rossi Ph. Bressolette • F. Mezghani
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Received: 23 September 2011 / Accepted: 27 September 2012 / Published online: 12 October 2012 RILEM 2012
Abstract This paper presents the methodology used to identify the mechanical behaviour of a steelconcrete interface in the case of a particular steel reinforcement (flat steel). The methodology consists in simulating the statistical mechanical behaviour of reinforced concrete tie-beams, subjected to tension, using a probabilistic discrete approach for the mechanical behaviour of the concrete under axial tension and a deterministic model for the steel-concrete interface. The model proposed for the interface is in the frame of damage mechanics taking into account physical phenomena related to the interface (cohesion and slip). The tie-beams are reinforced by a flat steel rebar with a rectangular cross section of 25 9 3.5 mm. Results of this numerical simulation have been compared to some experimental tests results. These comparisons are performed in terms of global responses (load-displacement curves) and of local responses (crack openings, number of cracks and cracks’ spacing). T. S. Phan (&) J.-L. Tailhan P. Rossi Paris-Est University, IFSTTAR, 58 boulevard Lefebvre, 75732 Paris CEDEX 15, France e-mail: [email protected]; [email protected] Ph. Bressolette Clermont University, Blaise Pascal University LaMI, EA3867, BP 206, 63000 Clermont, France F. Mezghani Ma`tiere-Construction Company, BP 54, 15130 Arpajonsur-Ce`re, France
Keywords Reinforced concrete Flat steel Steelconcrete interface Cracking List of symbols fc Compressive strength of concrete (MPa) ft Tensile strength of concrete (MPa) Ec Young’s modulus of concrete (MPa) Dg Diameter of largest aggregate in concrete (m) VS Volume of the finite element (m3) VA Volume of the largest aggregate (m3) m(X) Mean value of X (MPa) r (X) Deviation value of X (MPa) FmX Mean function of X Fr X Deviation function of X Es Young’s modulus of steel (MPa) Re Yield strength of steel (MPa) Ru Ultimate strength of steel (MPa) C Cohesion of interface (MPa) dcri Critical tangential displacement (m) t det Threshold tangential displacement (m) dt Relative tangential displacement (m) dcri Critical normal displacement (m) n den Threshold normal displacement (m) dn Relative normal displacement (m) rn Normal stress (MPa) s Tangential stress (MPa) / Friction angle () w Dilatancy angle () K Stiffness matrix of contact element d0 Previous damage state d Damage state
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Materials and Structures (2013) 46:1011–1025
Crack opening (m) Fictive elastic interface thickness (m)
1 Introduction For developing a new technological solution of reinforcement for RC structures, it is primordial to understand and identify the main physical mechanisms involved especially when numerical simulation tools are used to demonstrate the mechanical efficiency of this new solution. The construction compa
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