Abstract
The degradation of monumental stones resulting from the mutual interaction between mechanical actions and environment/pollution conditions is investigated here. In particular, the stone degradation is estimated as a function of the environmental conditions and the prediction of damaging phenomena, which can compromise permanently the fruition of monuments. This is done through a macroscopic phenomenological model which accounts for the main aspects of the problem: the chemical reaction and the mechanical behavior of stones. The sulphation reaction and the diffusion of the pollutant agents are described by suitable differential equations coupled with a variational formulation of fracture mechanics. The proposed model permits to evaluate how much aggressive atmospheric agents contribute to the decay of the mechanical properties of the stones as well as to establish the impact of the synergic chemical aggression and stress state. The latter is also influenced by the chemical reaction and by the evolving mechanical properties of the material. The main features of this approach are illustrated by specific numerical simulations.
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Bonetti, E., Cavaterra, C., Freddi, F., Grasselli, M., Natalini, R. (2021). Chemomechanical Degradation of Monumental Stones: Preliminary Results. In: Bonetti, E., Cavaterra, C., Natalini, R., Solci, M. (eds) Mathematical Modeling in Cultural Heritage. Springer INdAM Series, vol 41. Springer, Cham. https://doi.org/10.1007/978-3-030-58077-3_4
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