Size effects in the biaxial tensile-compressive behaviour of concrete: physical mechanisms and modelling

Abstract

This paper analyses failure mechanisms and apparent size effects in the biaxial tensile-compressive behaviour of concrete. To this end, a probabilistic discrete crack model is used to numerically determine failure surfaces in the tensile-tensile and tensile-compressive loading range, on account of size effects being considered as volume effects. The results (failure mechanisms, crack patterns, volume effects, etc.) are discussed in some detail with respect to the applied loading state. Size effects on the failure surface are quantified in terms of stress-invariant ratios at peak load for 8 loading paths. It is found that size effects decrease with increasing hydrostatic pressure,i.e. when passing from the tensile loading range into the tensile-compressive range. This can be explained by the activation of friction at the crack lips in a stable crack propagation, which regularises mechanical volume effects, and thus apparent size effects.