We suggest in the attached figures the deformations paths for the dynamically loaded steel and concrete materials in order to get a comparison scale between these two materials when they are used in reinforced concrete.
Dynamic cyclic stresses can result in fatigue failure as the attachment shows. Here, a failed steel component in a concrete bridge deck has failed. The failure only became visible when a portion of concrete over the failure spalled off. The asphaltic concrete visible in the photo was a temporary repair of the spalled area.
Thank you for the information in the paper. It appear that the experiments have given some results which are different to the existing ones. For example the SS41 steel in figure 2 (a) & (b) has an hysterisis behavior and the deformations are up to 3 % which is different to the experiments given by Bazergui in Resistance des materiaux (Ecole Polytechnique de Montreal). This value seems to belong to the plasticity domain which is not a reversible process : I can't get fixed with this shift. If yhe problem is solved with steel we can continue to analyse the concrete material.