A method for producing workpiece parts from a plate-shaped workpiece in a processing machine, in particular a laser processing machine, - in which the plate-shaped workpiece is positioned on a workpiece support and is held relative to the workpiece support using clamping devices (20, 21, 22, 23), - in which a process beam is used to cut a plurality of workpiece parts out of the plate-shaped workpiece, - in which the process beam is displaced relative to the workpiece support using a processing head and/or the plate-shaped workpiece is moved relative to the workpiece support using the clamping devices (20, 21, 22, 23), characterized in that, - a cutting process for processing the plate-shaped workpiece to produce the workpiece parts is interrupted at least once by a relaxation step for the plate-shaped workpiece in order to reduce the stresses produced in the plate-shaped workpiece due to the heat input, wherein the number of relaxation steps during the cutting process for processing the plate-shaped workpiece is determined on the basis of the number of workpiece parts to be produced from the plate-shaped workpiece, the material thickness of the plate-shaped workpiece, the size of the workpiece parts and/or the power of the process beam, and - in that during the relaxation step, at least one clamping device (20, 21, 22, 23) is released in order to relax the plate-shaped workpiece and, following the relaxation of the plate-shaped workpiece and before continuing the cutting process, the at least one clamping device (20, 21, 22, 23) is closed, wherein the time to release and then fully close at least one clamping device (20, 21, 22, 23) is less than 5 seconds, preferably less than 3 seconds, and - in that during the relaxation step either the plate-shaped workpiece is held along a side edge by three clamping devices (20, 21, 22) and to relax the plate-shaped workpiece one outer clamping device (20; 22) is first opened and closed and then the opposite outer clamping device (20; 22) is opened and closed or the plate-shaped workpiece is held by four or more clamping devices (20, 21, 22, 23) along a side edge and, to relax the plate-shaped workpiece, one outer clamping device in one half of the workpiece is opened first, followed by at least one inner clamping device adjacent thereto, wherein the two other clamping devices (20, 21), or the clamping devices from the other half of the plate-shaped workpiece which are located opposite to the opened clamping devices (22, 23), remain closed, and thereafter first the inner clamping device and then the other outer clamping device are closed, and this process is repeated on the opposite side of the plate-shaped workpiece. - in which the plate-shaped workpiece is positioned on a workpiece support and is held relative to the workpiece support using clamping devices (20, 21, 22, 23), - in which a process beam is used to cut a plurality of workpiece parts out of the plate-shaped workpiece, - in which the process beam is displaced relative to the workpiece support using a processing head and/or the plate-shaped workpiece is moved relative to the workpiece support using the clamping devices (20, 21, 22, 23), - a cutting process for processing the plate-shaped workpiece to produce the workpiece parts is interrupted at least once by a relaxation step for the plate-shaped workpiece in order to reduce the stresses produced in the plate-shaped workpiece due to the heat input, wherein the number of relaxation steps during the cutting process for processing the plate-shaped workpiece is determined on the basis of the number of workpiece parts to be produced from the plate-shaped workpiece, the material thickness of the plate-shaped workpiece, the size of the workpiece parts and/or the power of the process beam, and - in that during the relaxation step, at least one clamping device (20, 21, 22, 23) is released in order to relax the plate-shaped workpiece and, following the relaxation of the plate-shaped workpiece and before continuing the cutting process, the at least one clamping device (20, 21, 22, 23) is closed, wherein the time to release and then fully close at least one clamping device (20, 21, 22, 23) is less than 5 seconds, preferably less than 3 seconds, and - in that during the relaxation step either the plate-shaped workpiece is held along a side edge by three clamping devices (20, 21, 22) and to relax the plate-shaped workpiece one outer clamping device (20; 22) is first opened and closed and then the opposite outer clamping device (20; 22) is opened and closed or