I'm trying to make floor tiles which should look similar to attached picture. I sliced a wood about 6mm thick and wanted to glue them to the mdf base. However when I put PVA glue on a wood slices, they bent. Corners of slices raised from a base from 3 to 7 mm. Bending is really huge and caused by the moisture of glue. So with such a deformation gluing is not possible at all. I tried to straighten slices with a board on top of them and clamps but only crack a couple of them.
So the question is how to prevent wood bending? or is there other way to attach slices to a base?
Thanks.
PS: as mentioned in comments, each tile is supposed to be a rectangular about 800x400mm, these sizes could vary. Slices (open grain pieces) are going to have width about 60-85mm (85 is the capability of a saw) and length 60-100mm.

Would it be possible to glue up the full length boards first and the slice them to the tile size? Is part of the issue with the glue up being smaller/thinner pieces?
– Keith E. Truesdell Apr 05 '18 at 13:40