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Transport, fracture and their interaction in concrete are complex phenomena of great practical relevance for the durability of civil engineering structures. Due to the heterogeneous nature of the materials, encompassing a wide range of length scales, multiscale approaches are essential. In this paper, we outline some recent research results and open issues in this field. First, we present a microscale model which aims at simulating chloride diffusion and binding in cement. Then, we outline a mesoscale model addressing coupling between cracking and diffusion. Finally, we discuss open issues in the acquisition of the mesoscale geometry from X-ray computed tomography techniques.