<p>Some concrete structures may be subjected to internal swelling reactions (ISR). These pathologies, inducing progressive expansion at a slow rate during a significant part of the lifespan, often lead to severe consequences with regard to serviceability and/or structural safety. Hence, assessing the structure’s real state as well as its evolution is crucial. This goal can be achieved thanks to numerical models representing the behaviour of concrete affected by ISR. Identifying the parameters of the constitutive laws that aim to represent the ISR phenomenon within concrete is an essential step that often relies on poorly accessible information in the case of real structures or requires lengthy and costly laboratory tests on samples. The purpose of this work is to develop numerical methods that allow these parameters to be optimally adjusted based solely on knowledge of the manifestations of ISR on the concrete facing of structures (e.g., the evolution of a cracking index). One of the difficulties in this procedure is the presence of reinforcement between the core of the structural elements affected by ISR and the facing on which cracking is observed. We will first present a numerical model that allows us to model the structure affected by ISR, then inverse problem methods, based on nonlinear regression and numerical design of experiments, in order to achieve an identification of the parameters of the law of swelling. Then, these inverse analysis techniques will be applied to the case of simple structures.</p>