2D nonlinear finite element analysis of reinforced concrete beams using total strain crack model

Abstract

Concrete shows a highly non-linear pressure-sensitive constitutive response when it is strained more than its elastic limit. Recent advances in computational techniques have greatly aided the rapid implementation of non-linear material behaviour in finite element modelling for reinforced concrete structures. In this study, a finite element model is implemented in conjunction with non-linear stress–strain laws for concrete to capture the plastic damage of a reinforced concrete beam. Nonlinear finite element modelling of a simply supported reinforced concrete beam under static loads is performed using the DIANA10.4 software. The total strain crack model is used as it allows stress–strain behaviour as an input. The predictions of the base model were validated against the experimental work of Vecchio and Shim (2004), which is used as a classical benchmark for the validation of numerical models for concrete structures. Subsequently, various parametric studies are performed to understand the behaviour of beams. A parabolic curve was employed as a material model, for modelling the behaviour in compression. The influence of various total strain crack model parameters like the tension softening laws, crack type, and shear retention factors, for their ability to accurately predict the behaviour of reinforced concrete beams is examined. The results from the analyses are used to study the global load–displacement curve, contour maps of crack widths, and principal stresses.