Issue 30

O. Sucharda et alii, Frattura ed Integrità Strutturale, 30 (2014) 375-382; DOI: 10.3221/IGF-ESIS.30.45 375 Focussed on: Fracture and Structural Integrity related Issues Numerical modelling of reinforced concrete beams with fracture-plastic material O. Sucharda, J. Brozovsky VSB-TU Ostrava, Faculty of Civil Engineering oldrich.sucharda@vsb.cz, jiri.brozovsky@vsb.cz A BSTRACT . This paper describes the use of models of fracture-plastic materials for reinforced concrete in numerical modelling of beams made from reinforced concrete. The purpose of the paper is to use of a model of concrete for modelling of a behaviour of reinforced concrete beams which have been tested at the University of Toronto within re-examination of classic concrete beam tests. The original tests were performed by Bresler- Scordelis. A stochastic modelling based on LHS (Latin Hypercube Sampling) has been performed for the reinforced concrete beam. An objective of the modelling is to evaluate the total bearing capacity of the reinforced concrete beams depending on distribution of input data. The beams from the studied set have longitudinal reinforcement only. The beams do not have any shear reinforcement. The software used for the fracture-plastic model of the reinforced concrete is the ATENA. K EYWORDS . Concrete; Beam; Bearing Capacity; Reinforced; Non-linear Analysis; Fracture-plastic. I NTRODUCTION oncrete ranks among modern building materials. It is used, in particular, in bearing structures in structural and civil engineering. These are, for instance, beams, walls, slabs, shell or volume enclosing sections. As the concrete is very specific, extensive research has been carried out. For instance, the concrete behaves differently if subject to tension or if subject to compression. For this reason, a non-linear analysis should be used in calculations. More intensive use of the concrete and the need to carry out a detailed analysis have resulted in availability of many source documents and computational models for the concrete. Creation of such source documents have been among topics addressed by the International Federation for Structural Concrete (CEB-FIB) which issues recommendations and publications that are regarded as the starting point for creation of standards. In European standards, the recommendations of Model Code 1990 [3] are taken as a basis for designing of concrete and reinforced concrete structures. The latest recommendation is Model Code 2010 [4] which mentions several approaches applicable to the non- linear analysis. This paper aims at validating the use of one of such approaches to the non-linear analysis. Because the design standards require that uncertainty should be considered in input data, the non-linear analysis is supported by the stochastic modelling which makes it possible to describe better the real behaviour and bearing capacity of the structure. C