[en] The elastic scattering of K⁺-mesons from nuclei is studied to access the possibility of a hadronic scale change in nuclear matter. The K⁺-meson is the appropriate probe for such studies because of its large mean free path of ≅ 7 fm in nuclei. The total and the elastic differential cross sections are calculated for the reactions K⁺-deuteron, K⁺-¹²C and K⁺-⁴⁰Ca at various incident energies (450 MeV/c ≤ p_lab ≤ 800 MeV/c) using an optical potential which was constructed in lowest order multiple scattering theory (t_p-factorisation in momentum space). The density p was taken from electron-scattering experiments corrected for the finit size of the proton. The (K⁺-N) t-matrix was constructed by Buettgen and Holinde. The off-shell behavior of the microscopic K⁺-N t-matrix is examined. Using this microscopic K⁺-N t-matrix in the construction of the K⁺-nucleus optical potential we get an excellent description of total and elastic differential cross sections for deuteron, ¹²C and ⁴⁰Ca. We also obtain a good description of the measured ratio σ^K+-12c total / σ^k+-deuteron total over a wide incident energy range. The reason for this good aggreement is due to a different interference pattern of the scattering phase shifts using experimental phase shifts or phase shifts calculated from microscopic meson exchange model. (orig.)