Films of amorphous silicon reinforced with crystalline copper silicide inclusions were tested as anode material in liquid lithium-ion cells. The films were made by the method of layer-by-layer magnetron deposition of amorphous silicon and copper, followed by low-temperature (100 ÷ 200 ° C) annealing of the structure. During the tests, the anodes revealed the effect of long-term intensive growth of their reversible capacity. To describe the effect, a phenomenological model is proposed, based on the counter-migration of silicon and copper atoms in a non-uniform field of elastic mechanical stresses arising during the cycling of a lithium-ion cell.