the invention relates to a film of plastics material stretched to present a privileged shrinkage orientation and used in particular for fabricating heat - shrink sleeves , the film including at least one line of mechanical weakness and at least one local region of extra thickness extending along the line of weakness so as to border it , the line of weakness and the adjacent local region of extra thickness together defining a tear line . according to the invention , the local region of extra thickness is constituted by applying liquid or semi - liquid material to the film , the applied material being applied to the film in a quantity that depends on the expected shrinkage ratio in the portion of the film that includes the tear line while a sleeve made using such a film is being heat - shrunk onto an article .