Rheological-dynamical model of concrete and its application on RC beams
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Rheological-dynamical model of concrete and its application on RC beams Dragan D. Milašinovi´c1 · Danica Goleš1 ˇ 1 Aleksandar Panˇci´c1 · Arpad Ceh
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Received: 17 April 2020 / Accepted: 31 October 2020 © Springer Nature B.V. 2020
Abstract An improved analytical model based on rheological-dynamical analogy (RDA) is briefly explained and used for the analysis of concrete cylinders under compression. The approach involves standard mechanical properties such as compressive strength, elastic modulus, concrete density and Poisson’s ratio for the prediction of both the ascending and the descending branch of the stress–strain curve. Our own experimental data for arbitrarily selected high strength concrete with high deformability was analyzed. Further, the validity of the RDA model is checked against tests of other authors for one normal concrete and for six recycled aggregate concrete mixtures. To demonstrate the capabilities of the improved model, using analytically established stress–strain relations for analyzed samples, the moment-curvature relations and ductility of reinforced concrete beams in bending were numerically examined. The analysis showed that the ductile behavior of beams made of concrete with recycled aggregate can be achieved by limiting the reinforcement ratio to 0.01 if the recycled concrete aggregate is used and to 0.02 for recycled brick aggregate. Keywords Rheological-dynamical analogy · Stress-strain relation · Crushing energy · Recycled aggregate concrete · Ductility
1 Introduction The post-peak behavior of a specimen is essential to obtaining a correct evaluation of the ultimate axial deformation of concrete cylinders, the rotational capacity of reinforced concrete beams and their ductility. In the early 1990s, an extensive round robin test on compressive softening was carried out by the RILEM Technical Committee 148-SSC (Van Mier et al. 1997). As reported, compression failures can have a great variety of forms, while the mode of failure is complex. The research on describing the fracture of concrete by fracture mechanics has until now primarily concentrated on the Cohesive Crack Model (Hillerborg et al.
B D. Goleš
[email protected]
1
Faculty of Civil Engineering Subotica, University of Novi Sad, Kozaraˇcka 2a, Subotica 24000, Serbia
Mech Time-Depend Mater
1976), which is routinely adopted for modeling the tensile behavior of concrete. The compression failure model proposed by Carpinteri et al. (2011) is based on the concept of strain localization. This approach, referred to as the Overlapping Crack Model, is very similar to the Cohesive Crack Model. The rapid development of the continuum damage mechanics in the last four decades produced different mathematical representations of damage (internal, hidden) variables. The list runs from scalars, axial vectors, second order tensors, fourth order tensors, to a series containing all even order tensors (Murakami 2012). The development of a statistical damage mechanics model for concrete at uniaxial loading in compression to ultimate failure i
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