Abstract: A device and a process for generating surface channels in plate-shaped workpieces are disclosed, wherein a tool is used which comprises a fastening section, whereon a tool receptacle is provided for fastening the tool to an oscillatory drive. The tool comprises a guiding section for guiding the tool along a surface of the workpiece, and further comprises a hollow knife protruding from the guiding section and having at least one cutting edge, wherein the guiding section is configured plate-shaped and is connected rigidly with first and second ends of the hollow knife.