A heat-conductive connection arrangement for connecting a printed circuit board to a cooling body. The connection arrangement has a carrier which is flat. At least part of the carrier includes at least one balloon body which faces away from the carrier and is connected to the carrier. The balloon body includes an envelope which encloses an interior, and the interior is at least in part filled with a preferably free-flowing, in particular viscous, heat-conducting substance. The envelope is configured so as to tear open under the influence of pressure and to thus release the heat-conducting substance.