A double-sided adhesive tape useful for adhesively bonding articles composed of thermoplastic polymer, of EPDM, or of another rubberlike material is provided, having a first outer, pressure-sensitive adhesive side and a second outer, thermally-activatable side, and that comprises an at least dual-layered product construction consisting of layers A and B, layer A being a pressure-sensitive adhesive layer that is chemically cross-linked by thermal initiation, or being a pressure-sensitively adhesive carrier layer chemically cross-linked by thermal initiation, layer B being a thermoplastic synthetic material-based layer, layers A and B being in direct contact with one another, and the surface of layer A, which is in direct contact with layer B, having been corona or plasma pre-treated. The corona or plasma pre-treatment takes place in an atmosphere of nitrogen, carbon dioxide or a noble gas, or a mixture of at least two of these gases.