[en] The existence of shock waves has been predicted in the process of analysis of physical effects relevant to radiation damage with ions. Since, the observation of multifragmentation of water droplets is related to unnecessary experimental difficulties, a similar experiment with Ar clusters has been performed. The possibility of multifragmentation of large Ar clusters by incident protons is assessed using the multiscale approach to radiation damage with ions. The characteristics of proton propagation in liquid Ar are calculated and the shock wave prediction is tested theoretically. The shock wave pressure is compared to the surface tension pressure at the surface of clusters and the condition for multifragmentation is explored. The dynamics of irradiated Ar clusters is studied using classical molecular dynamics simulations; different aspects of their survival or fragmentation are observed and discussed. The studies are done at different values of impact parameter of ions with respect to spherical droplets. A size distribution of Ar droplets after irradiation is obtained. The results show that the consideration of the ionization of Ar atoms in clusters by incident ions, the energy spectra of ejected electrons, and their transport characteristics support the scenario of formation of wave fronts in the sub-nm vicinity of ion's paths. The regime of strong explosion is confirmed and the shock wave propagation is adequately described within this paradigm within a few tens of ps, before it starts to weaken