The subject matter of the present application is a curable adhesive composition having PTC characteristics after curing, containing (i) a reactive binder system, based on an epoxy-resin-component and a curing agent-component, (ii) particles of a carbon modification in a range of 0.01 wt % to 15.0 wt %, based on the total weight of the curable adhesive composition, and (iii) copper powder in a range of 0.5 wt % to 5.0 wt %, based on the total weight of the curable adhesive composition, wherein the reactive binder system comprises>70 wt % of all organic polymers of the adhesive composition.