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We present an ab initio study of the electronic stopping power of protons in copper over a wide range of proton velocities $v = 0.01-10~\mathrm{a.u.}$ 0.02-10~\mathrm{a.u.}$  where we take into account non-linear effects. Time-dependent density functional theory coupled with molecular dynamics is used to study electronic excitations produced by energetic protons.  A plane-wave pseudopotential scheme is employed to solve the time-dependent Kohn-Sham equations for a moving ion %$\mathrm{H^+}$ ion   in a periodic crystal. %$\mathrm{Cu}$ crystal.