On the nonlinear elastic properties of textile reinforced concrete under tensile loading including damage and cracking

This paper is focussed on the description of the macroscopic nonlinear elastic material behaviour of textile reinforced concrete (TRC) using an analytical approach. Damage and cracking of the composite are considered as well. The heterogeneous structure of TRC is modelled on the mesoscopic level and the overall material behaviour on the macroscopic level is obtained by means of homogenisation. The analytical approach is based on the micro-mechanical solution for a single inclusion according to Eshelby. In extension of this solution for multi-directionally reinforced concrete an effective field approximation is used. This approach allows the consideration of the interactions between the differently orientated rovings and also between rovings and micro-cracks in an average sense. The micro-cracks are included in the mechanical model by using a micro-crack density parameter. For the mechanical modelling of the bond behaviour between roving and matrix after the initiation of macro-cracking a slip-based bond model with a multiple linear shear stress-slip relation is introduced.