Interaction of brushes oriented face-to-face under compression andsubsequent extensionis investigated theoretically. Brushes formed by mesogenic chainswith induced stiffness in the liquid-crystalline (LC) state are considered. It is shown that the contactbetween LC brushes composed of longfolds of grafted chains (FLC structure) leads to interpenetration ofbrushes and to formation of a combinedstructure. The brushes remain combined under the extension of thisstructure.